立方晶系 (Cubic) に属する空間群のワイコフ位置(Wyckoff letter)の一覧をまとめました。ワイコフ位置の概念やサイトシンメトリー (Site symmetry) 記号の読み方については別ページで解説しています。
- Serial No.: Serial number (1~530)
- ITA No.: Number listed on the International Tables for Crystallography, Vol A. (1~230)
- SG symbol: Space group symbol (HM full notation)
- M: Multiplicity
- W: Wyckoff Letter
- SS: Site Symmetry
- Position: Equivalent position
| Serial No. | ITA No. | SG symbol | M | W | SS | Positions | |||
|---|---|---|---|---|---|---|---|---|---|
| 489 | 195 | (P 2 3) | ((0,0,0)+) | ||||||
| 12 | (j) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| 6 | (i) | (2,.,.) | (x,frac{1}{2},frac{1}{2}) | (bar{x},frac{1}{2},frac{1}{2}) | (frac{1}{2},x,frac{1}{2}) | (frac{1}{2},bar{x},frac{1}{2}) | |||
| (frac{1}{2},frac{1}{2},x) | (frac{1}{2},frac{1}{2},bar{x}) | ||||||||
| 6 | (h) | (2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | ||||||||
| 6 | (g) | (2,.,.) | (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | |||
| (0,frac{1}{2},x) | (0,frac{1}{2},bar{x}) | ||||||||
| 6 | (f) | (2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 4 | (e) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| 3 | (d) | (222,.,.) | (frac{1}{2},0,0) | (0,frac{1}{2},0) | (0,0,frac{1}{2}) | ||||
| 3 | (c) | (222,.,.) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | ||||
| 1 | (b) | (2,3,.) | (frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| 1 | (a) | (2,3,.) | (0,0,0) | ||||||
| 490 | 196 | (F 2 3) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 48 | (h) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| 24 | (g) | (2,.,.) | (x,frac{1}{4},frac{1}{4}) | (bar{x},frac{3}{4},frac{1}{4}) | (frac{1}{4},x,frac{1}{4}) | (frac{1}{4},bar{x},frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},x) | (frac{3}{4},frac{1}{4},bar{x}) | ||||||||
| 24 | (f) | (2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 16 | (e) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| 4 | (d) | (2,3,.) | (frac{3}{4},frac{3}{4},frac{3}{4}) | ||||||
| 4 | (c) | (2,3,.) | (frac{1}{4},frac{1}{4},frac{1}{4}) | ||||||
| 4 | (b) | (2,3,.) | (frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| 4 | (a) | (2,3,.) | (0,0,0) | ||||||
| 491 | 197 | (I 2 3) | ((0,0,0)+) | ( (frac{1}{2},frac{1}{2},frac{1}{2})+ ) | |||||
| 24 | (f) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| 12 | (e) | (2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | ||||||||
| 12 | (d) | (2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 8 | (c) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| 6 | (b) | (222,.,.) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | ||||
| 2 | (a) | (2,3,.) | (0,0,0) | ||||||
| 492 | 198 | (P 2_1 3 ) | ((0,0,0)+) | ||||||
| 12 | (b) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},bar{z}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x}+frac{1}{2},bar{y}) | (bar{z}+frac{1}{2},bar{x},y+frac{1}{2}) | (bar{z},x+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y},z+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},bar{x}) | (bar{y}+frac{1}{2},bar{z},x+frac{1}{2}) | ||||||
| 4 | (a) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}) | |||
| 493 | 199 | (I 2_1 3 ) | ((0,0,0)+) | ( (frac{1}{2},frac{1}{2},frac{1}{2})+ ) | |||||
| 24 | (c) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},bar{z}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x}+frac{1}{2},bar{y}) | (bar{z}+frac{1}{2},bar{x},y+frac{1}{2}) | (bar{z},x+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y},z+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},bar{x}) | (bar{y}+frac{1}{2},bar{z},x+frac{1}{2}) | ||||||
| 12 | (b) | (2,.,.) | (x,0,frac{1}{4}) | (bar{x}+frac{1}{2},0,frac{3}{4}) | (frac{1}{4},x,0) | (frac{3}{4},bar{x}+frac{1}{2},0) | |||
| (0,frac{1}{4},x) | (0,frac{3}{4},bar{x}+frac{1}{2}) | ||||||||
| 8 | (a) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}) | |||
| 494 | 200 | (P 2/m bar{3}) | ((0,0,0)+) | ||||||
| 24 | (l) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (bar{x},bar{y},bar{z}) | (x,y,bar{z}) | (x,bar{y},z) | (bar{x},y,z) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x,y) | (z,x,bar{y}) | (z,bar{x},y) | ||||||
| (bar{y},bar{z},bar{x}) | (y,bar{z},x) | (bar{y},z,x) | (y,z,bar{x}) | ||||||
| 12 | (k) | (m,.,.) | (frac{1}{2},y,z) | (frac{1}{2},bar{y},z) | (frac{1}{2},y,bar{z}) | (frac{1}{2},bar{y},bar{z}) | |||
| (z,frac{1}{2},y) | (z,frac{1}{2},bar{y}) | (bar{z},frac{1}{2},y) | (bar{z},frac{1}{2},bar{y}) | ||||||
| (y,z,frac{1}{2}) | (bar{y},z,frac{1}{2}) | (y,bar{z},frac{1}{2}) | (bar{y},bar{z},frac{1}{2}) | ||||||
| 12 | (j) | (m,.,.) | (0,y,z) | (0,bar{y},z) | (0,y,bar{z}) | (0,bar{y},bar{z}) | |||
| (z,0,y) | (z,0,bar{y}) | (bar{z},0,y) | (bar{z},0,bar{y}) | ||||||
| (y,z,0) | (bar{y},z,0) | (y,bar{z},0) | (bar{y},bar{z},0) | ||||||
| 8 | (i) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (bar{x},bar{x},bar{x}) | (x,x,bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| 6 | (h) | (mm2,.,.) | (x,frac{1}{2},frac{1}{2}) | (bar{x},frac{1}{2},frac{1}{2}) | (frac{1}{2},x,frac{1}{2}) | (frac{1}{2},bar{x},frac{1}{2}) | |||
| (frac{1}{2},frac{1}{2},x) | (frac{1}{2},frac{1}{2},bar{x}) | ||||||||
| 6 | (g) | (mm2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | ||||||||
| 6 | (f) | (mm2,.,.) | (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | |||
| (0,frac{1}{2},x) | (0,frac{1}{2},bar{x}) | ||||||||
| 6 | (e) | (mm2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 3 | (d) | (mmm,.,.) | (frac{1}{2},0,0) | (0,frac{1}{2},0) | (0,0,frac{1}{2}) | ||||
| 3 | (c) | (mmm,.,.) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | ||||
| 1 | (b) | (m,bar{3},.) | (frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| 1 | (a) | (m,bar{3},.) | (0,0,0) | ||||||
| 495 | 201 | (P 2/n bar{3}) | ((0,0,0)+) | ||||||
| 24 | (h) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (bar{x}+frac{1}{2},bar{y}+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},z+frac{1}{2}) | (bar{x}+frac{1}{2},y+frac{1}{2},z+frac{1}{2}) | ||||||
| (bar{z}+frac{1}{2},bar{x}+frac{1}{2},bar{y}+frac{1}{2}) | (bar{z}+frac{1}{2},x+frac{1}{2},y+frac{1}{2}) | (z+frac{1}{2},x+frac{1}{2},bar{y}+frac{1}{2}) | (z+frac{1}{2},bar{x}+frac{1}{2},y+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{2},bar{z}+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},x+frac{1}{2}) | (bar{y}+frac{1}{2},z+frac{1}{2},x+frac{1}{2}) | (y+frac{1}{2},z+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 12 | (g) | (2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | (bar{x}+frac{1}{2},0,frac{1}{2}) | (x+frac{1}{2},0,frac{1}{2}) | ||||||
| (frac{1}{2},bar{x}+frac{1}{2},0) | (frac{1}{2},x+frac{1}{2},0) | (0,frac{1}{2},bar{x}+frac{1}{2}) | (0,frac{1}{2},x+frac{1}{2}) | ||||||
| 12 | (f) | (2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | (bar{x}+frac{1}{2},frac{1}{2},frac{1}{2}) | (x+frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| (frac{1}{2},bar{x}+frac{1}{2},frac{1}{2}) | (frac{1}{2},x+frac{1}{2},frac{1}{2}) | (frac{1}{2},frac{1}{2},bar{x}+frac{1}{2}) | (frac{1}{2},frac{1}{2},x+frac{1}{2}) | ||||||
| 8 | (e) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (bar{x}+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | ||||||
| 6 | (d) | (222,.,.) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | (frac{1}{2},0,0) | |||
| (0,frac{1}{2},0) | (0,0,frac{1}{2}) | ||||||||
| 4 | (c) | (.,bar{3},.) | (frac{3}{4},frac{3}{4},frac{3}{4}) | (frac{1}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{1}{4}) | |||
| 4 | (b) | (.,bar{3},.) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{3}{4}) | |||
| 2 | (a) | (2,3,.) | (0,0,0) | (frac{1}{2},frac{1}{2},frac{1}{2}) | |||||
| 496 | 201 | (P 2/n bar{3}) | ((0,0,0)+) | ||||||
| 24 | (h) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y}+frac{1}{2},z) | (bar{x}+frac{1}{2},y,bar{z}+frac{1}{2}) | (x,bar{y}+frac{1}{2},bar{z}+frac{1}{2}) | |||
| (z,x,y) | (z,bar{x}+frac{1}{2},bar{y}+frac{1}{2}) | (bar{z}+frac{1}{2},bar{x}+frac{1}{2},y) | (bar{z}+frac{1}{2},x,bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y}+frac{1}{2},z,bar{x}+frac{1}{2}) | (y,bar{z}+frac{1}{2},bar{x}+frac{1}{2}) | (bar{y}+frac{1}{2},bar{z}+frac{1}{2},x) | ||||||
| (bar{x},bar{y},bar{z}) | (x+frac{1}{2},y+frac{1}{2},bar{z}) | (x+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},z+frac{1}{2}) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x+frac{1}{2},y+frac{1}{2}) | (z+frac{1}{2},x+frac{1}{2},bar{y}) | (z+frac{1}{2},bar{x},y+frac{1}{2}) | ||||||
| (bar{y},bar{z},bar{x}) | (y+frac{1}{2},bar{z},x+frac{1}{2}) | (bar{y},z+frac{1}{2},x+frac{1}{2}) | (y+frac{1}{2},z+frac{1}{2},bar{x}) | ||||||
| 12 | (g) | (2,.,.) | (x,frac{3}{4},frac{1}{4}) | (bar{x}+frac{1}{2},frac{3}{4},frac{1}{4}) | (frac{1}{4},x,frac{3}{4}) | (frac{1}{4},bar{x}+frac{1}{2},frac{3}{4}) | |||
| (frac{3}{4},frac{1}{4},x) | (frac{3}{4},frac{1}{4},bar{x}+frac{1}{2}) | (bar{x},frac{1}{4},frac{3}{4}) | (x+frac{1}{2},frac{1}{4},frac{3}{4}) | ||||||
| (frac{3}{4},bar{x},frac{1}{4}) | (frac{3}{4},x+frac{1}{2},frac{1}{4}) | (frac{1}{4},frac{3}{4},bar{x}) | (frac{1}{4},frac{3}{4},x+frac{1}{2}) | ||||||
| 12 | (f) | (2,.,.) | (x,frac{1}{4},frac{1}{4}) | (bar{x}+frac{1}{2},frac{1}{4},frac{1}{4}) | (frac{1}{4},x,frac{1}{4}) | (frac{1}{4},bar{x}+frac{1}{2},frac{1}{4}) | |||
| (frac{1}{4},frac{1}{4},x) | (frac{1}{4},frac{1}{4},bar{x}+frac{1}{2}) | (bar{x},frac{3}{4},frac{3}{4}) | (x+frac{1}{2},frac{3}{4},frac{3}{4}) | ||||||
| (frac{3}{4},bar{x},frac{3}{4}) | (frac{3}{4},x+frac{1}{2},frac{3}{4}) | (frac{3}{4},frac{3}{4},bar{x}) | (frac{3}{4},frac{3}{4},x+frac{1}{2}) | ||||||
| 8 | (e) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},x) | (bar{x}+frac{1}{2},x,bar{x}+frac{1}{2}) | (x,bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | |||
| (bar{x},bar{x},bar{x}) | (x+frac{1}{2},x+frac{1}{2},bar{x}) | (x+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},x+frac{1}{2}) | ||||||
| 6 | (d) | (222,.,.) | (frac{1}{4},frac{3}{4},frac{3}{4}) | (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{1}{4}) | |||
| (frac{1}{4},frac{3}{4},frac{1}{4}) | (frac{1}{4},frac{1}{4},frac{3}{4}) | ||||||||
| 4 | (c) | (.,bar{3},.) | (frac{1}{2},frac{1}{2},frac{1}{2}) | (0,0,frac{1}{2}) | (0,frac{1}{2},0) | (frac{1}{2},0,0) | |||
| 4 | (b) | (.,bar{3},.) | (0,0,0) | (frac{1}{2},frac{1}{2},0) | (frac{1}{2},0,frac{1}{2}) | (0,frac{1}{2},frac{1}{2}) | |||
| 2 | (a) | (2,3,.) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{3}{4}) | |||||
| 497 | 202 | (F 2/m bar{3}) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 96 | (i) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (bar{x},bar{y},bar{z}) | (x,y,bar{z}) | (x,bar{y},z) | (bar{x},y,z) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x,y) | (z,x,bar{y}) | (z,bar{x},y) | ||||||
| (bar{y},bar{z},bar{x}) | (y,bar{z},x) | (bar{y},z,x) | (y,z,bar{x}) | ||||||
| 48 | (h) | (m,.,.) | (0,y,z) | (0,bar{y},z) | (0,y,bar{z}) | (0,bar{y},bar{z}) | |||
| (z,0,y) | (z,0,bar{y}) | (bar{z},0,y) | (bar{z},0,bar{y}) | ||||||
| (y,z,0) | (bar{y},z,0) | (y,bar{z},0) | (bar{y},bar{z},0) | ||||||
| 48 | (g) | (2,.,.) | (x,frac{1}{4},frac{1}{4}) | (bar{x},frac{3}{4},frac{1}{4}) | (frac{1}{4},x,frac{1}{4}) | (frac{1}{4},bar{x},frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},x) | (frac{3}{4},frac{1}{4},bar{x}) | (bar{x},frac{3}{4},frac{3}{4}) | (x,frac{1}{4},frac{3}{4}) | ||||||
| (frac{3}{4},bar{x},frac{3}{4}) | (frac{3}{4},x,frac{1}{4}) | (frac{3}{4},frac{3}{4},bar{x}) | (frac{1}{4},frac{3}{4},x) | ||||||
| 32 | (f) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (bar{x},bar{x},bar{x}) | (x,x,bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| 24 | (e) | (mm2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 24 | (d) | (2/m..) | (0,frac{1}{4},frac{1}{4}) | (0,frac{3}{4},frac{1}{4}) | (frac{1}{4},0,frac{1}{4}) | (frac{1}{4},0,frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},0) | (frac{3}{4},frac{1}{4},0) | ||||||||
| 8 | (c) | (2,3,.) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{3}{4}) | |||||
| 4 | (b) | (m,bar{3},.) | (frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| 4 | (a) | (m,bar{3},.) | (0,0,0) | ||||||
| 498 | 203 | (F 2/d bar{3}) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 96 | (g) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (bar{x}+frac{1}{4},bar{y}+frac{1}{4},bar{z}+frac{1}{4}) | (x+frac{1}{4},y+frac{1}{4},bar{z}+frac{1}{4}) | (x+frac{1}{4},bar{y}+frac{1}{4},z+frac{1}{4}) | (bar{x}+frac{1}{4},y+frac{1}{4},z+frac{1}{4}) | ||||||
| (bar{z}+frac{1}{4},bar{x}+frac{1}{4},bar{y}+frac{1}{4}) | (bar{z}+frac{1}{4},x+frac{1}{4},y+frac{1}{4}) | (z+frac{1}{4},x+frac{1}{4},bar{y}+frac{1}{4}) | (z+frac{1}{4},bar{x}+frac{1}{4},y+frac{1}{4}) | ||||||
| (bar{y}+frac{1}{4},bar{z}+frac{1}{4},bar{x}+frac{1}{4}) | (y+frac{1}{4},bar{z}+frac{1}{4},x+frac{1}{4}) | (bar{y}+frac{1}{4},z+frac{1}{4},x+frac{1}{4}) | (y+frac{1}{4},z+frac{1}{4},bar{x}+frac{1}{4}) | ||||||
| 48 | (f) | (2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | (bar{x}+frac{1}{4},frac{1}{4},frac{1}{4}) | (x+frac{1}{4},frac{1}{4},frac{1}{4}) | ||||||
| (frac{1}{4},bar{x}+frac{1}{4},frac{1}{4}) | (frac{1}{4},x+frac{1}{4},frac{1}{4}) | (frac{1}{4},frac{1}{4},bar{x}+frac{1}{4}) | (frac{1}{4},frac{1}{4},x+frac{1}{4}) | ||||||
| 32 | (e) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (bar{x}+frac{1}{4},bar{x}+frac{1}{4},bar{x}+frac{1}{4}) | (x+frac{1}{4},x+frac{1}{4},bar{x}+frac{1}{4}) | (x+frac{1}{4},bar{x}+frac{1}{4},x+frac{1}{4}) | (bar{x}+frac{1}{4},x+frac{1}{4},x+frac{1}{4}) | ||||||
| 16 | (d) | (.,bar{3},.) | (frac{5}{8},frac{5}{8},frac{5}{8}) | (frac{3}{8},frac{3}{8},frac{5}{8}) | (frac{3}{8},frac{5}{8},frac{3}{8}) | (frac{5}{8},frac{3}{8},frac{3}{8}) | |||
| 16 | (c) | (.,bar{3},.) | (frac{1}{8},frac{1}{8},frac{1}{8}) | (frac{7}{8},frac{7}{8},frac{1}{8}) | (frac{7}{8},frac{1}{8},frac{7}{8}) | (frac{1}{8},frac{7}{8},frac{7}{8}) | |||
| 8 | (b) | (2,3,.) | (frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{3}{4},frac{3}{4},frac{3}{4}) | |||||
| 8 | (a) | (2,3,.) | (0,0,0) | (frac{1}{4},frac{1}{4},frac{1}{4}) | |||||
| 499 | 203 | (F 2/d bar{3}) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 96 | (g) | (1) | (x,y,z) | (bar{x}+frac{1}{4},bar{y}+frac{1}{4},z) | (bar{x}+frac{1}{4},y,bar{z}+frac{1}{4}) | (x,bar{y}+frac{1}{4},bar{z}+frac{1}{4}) | |||
| (z,x,y) | (z,bar{x}+frac{1}{4},bar{y}+frac{1}{4}) | (bar{z}+frac{1}{4},bar{x}+frac{1}{4},y) | (bar{z}+frac{1}{4},x,bar{y}+frac{1}{4}) | ||||||
| (y,z,x) | (bar{y}+frac{1}{4},z,bar{x}+frac{1}{4}) | (y,bar{z}+frac{1}{4},bar{x}+frac{1}{4}) | (bar{y}+frac{1}{4},bar{z}+frac{1}{4},x) | ||||||
| (bar{x},bar{y},bar{z}) | (x+frac{3}{4},y+frac{3}{4},bar{z}) | (x+frac{3}{4},bar{y},z+frac{3}{4}) | (bar{x},y+frac{3}{4},z+frac{3}{4}) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x+frac{3}{4},y+frac{3}{4}) | (z+frac{3}{4},x+frac{3}{4},bar{y}) | (z+frac{3}{4},bar{x},y+frac{3}{4}) | ||||||
| (bar{y},bar{z},bar{x}) | (y+frac{3}{4},bar{z},x+frac{3}{4}) | (bar{y},z+frac{3}{4},x+frac{3}{4}) | (y+frac{3}{4},z+frac{3}{4},bar{x}) | ||||||
| 48 | (f) | (2,.,.) | (x,frac{1}{8},frac{1}{8}) | (bar{x}+frac{1}{4},frac{1}{8},frac{1}{8}) | (frac{1}{8},x,frac{1}{8}) | (frac{1}{8},bar{x}+frac{1}{4},frac{1}{8}) | |||
| (frac{1}{8},frac{1}{8},x) | (frac{1}{8},frac{1}{8},bar{x}+frac{1}{4}) | (bar{x},frac{7}{8},frac{7}{8}) | (x+frac{3}{4},frac{7}{8},frac{7}{8}) | ||||||
| (frac{7}{8},bar{x},frac{7}{8}) | (frac{7}{8},x+frac{3}{4},frac{7}{8}) | (frac{7}{8},frac{7}{8},bar{x}) | (frac{7}{8},frac{7}{8},x+frac{3}{4}) | ||||||
| 32 | (e) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{4},bar{x}+frac{1}{4},x) | (bar{x}+frac{1}{4},x,bar{x}+frac{1}{4}) | (x,bar{x}+frac{1}{4},bar{x}+frac{1}{4}) | |||
| (bar{x},bar{x},bar{x}) | (x+frac{3}{4},x+frac{3}{4},bar{x}) | (x+frac{3}{4},bar{x},x+frac{3}{4}) | (bar{x},x+frac{3}{4},x+frac{3}{4}) | ||||||
| 16 | (d) | (.,bar{3},.) | (frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{3}{4},frac{3}{4},frac{1}{2}) | (frac{3}{4},frac{1}{2},frac{3}{4}) | (frac{1}{2},frac{3}{4},frac{3}{4}) | |||
| 16 | (c) | (.,bar{3},.) | (0,0,0) | (frac{1}{4},frac{1}{4},0) | (frac{1}{4},0,frac{1}{4}) | (0,frac{1}{4},frac{1}{4}) | |||
| 8 | (b) | (2,3,.) | (frac{5}{8},frac{5}{8},frac{5}{8}) | (frac{3}{8},frac{3}{8},frac{3}{8}) | |||||
| 8 | (a) | (2,3,.) | (frac{1}{8},frac{1}{8},frac{1}{8}) | (frac{7}{8},frac{7}{8},frac{7}{8}) | |||||
| 500 | 204 | (I 2/m bar{3}) | ((0,0,0)+) | ( (frac{1}{2},frac{1}{2},frac{1}{2})+ ) | |||||
| 48 | (h) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (bar{x},bar{y},bar{z}) | (x,y,bar{z}) | (x,bar{y},z) | (bar{x},y,z) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x,y) | (z,x,bar{y}) | (z,bar{x},y) | ||||||
| (bar{y},bar{z},bar{x}) | (y,bar{z},x) | (bar{y},z,x) | (y,z,bar{x}) | ||||||
| 24 | (g) | (m,.,.) | (0,y,z) | (0,bar{y},z) | (0,y,bar{z}) | (0,bar{y},bar{z}) | |||
| (z,0,y) | (z,0,bar{y}) | (bar{z},0,y) | (bar{z},0,bar{y}) | ||||||
| (y,z,0) | (bar{y},z,0) | (y,bar{z},0) | (bar{y},bar{z},0) | ||||||
| 16 | (f) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (bar{x},bar{x},bar{x}) | (x,x,bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| 12 | (e) | (mm2,.,.) | (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | |||
| (0,frac{1}{2},x) | (0,frac{1}{2},bar{x}) | ||||||||
| 12 | (d) | (mm2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 8 | (c) | (.,bar{3},.) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{3}{4}) | |||
| 6 | (b) | (mmm,.,.) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | ||||
| 2 | (a) | (m,bar{3},.) | (0,0,0) | ||||||
| 501 | 205 | (P 2_1/a bar{3} ) | ((0,0,0)+) | ||||||
| 24 | (d) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},bar{z}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x}+frac{1}{2},bar{y}) | (bar{z}+frac{1}{2},bar{x},y+frac{1}{2}) | (bar{z},x+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y},z+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},bar{x}) | (bar{y}+frac{1}{2},bar{z},x+frac{1}{2}) | ||||||
| (bar{x},bar{y},bar{z}) | (x+frac{1}{2},y,bar{z}+frac{1}{2}) | (x,bar{y}+frac{1}{2},z+frac{1}{2}) | (bar{x}+frac{1}{2},y+frac{1}{2},z) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z}+frac{1}{2},x+frac{1}{2},y) | (z+frac{1}{2},x,bar{y}+frac{1}{2}) | (z,bar{x}+frac{1}{2},y+frac{1}{2}) | ||||||
| (bar{y},bar{z},bar{x}) | (y,bar{z}+frac{1}{2},x+frac{1}{2}) | (bar{y}+frac{1}{2},z+frac{1}{2},x) | (y+frac{1}{2},z,bar{x}+frac{1}{2}) | ||||||
| 8 | (c) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}) | |||
| (bar{x},bar{x},bar{x}) | (x+frac{1}{2},x,bar{x}+frac{1}{2}) | (x,bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},x) | ||||||
| 4 | (b) | (.,bar{3},.) | (frac{1}{2},frac{1}{2},frac{1}{2}) | (0,frac{1}{2},0) | (frac{1}{2},0,0) | (0,0,frac{1}{2}) | |||
| 4 | (a) | (.,bar{3},.) | (0,0,0) | (frac{1}{2},0,frac{1}{2}) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | |||
| 502 | 206 | (I 2_1/a bar{3} ) | ((0,0,0)+) | ( (frac{1}{2},frac{1}{2},frac{1}{2})+ ) | |||||
| 48 | (e) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},bar{z}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x}+frac{1}{2},bar{y}) | (bar{z}+frac{1}{2},bar{x},y+frac{1}{2}) | (bar{z},x+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y},z+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},bar{x}) | (bar{y}+frac{1}{2},bar{z},x+frac{1}{2}) | ||||||
| (bar{x},bar{y},bar{z}) | (x+frac{1}{2},y,bar{z}+frac{1}{2}) | (x,bar{y}+frac{1}{2},z+frac{1}{2}) | (bar{x}+frac{1}{2},y+frac{1}{2},z) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z}+frac{1}{2},x+frac{1}{2},y) | (z+frac{1}{2},x,bar{y}+frac{1}{2}) | (z,bar{x}+frac{1}{2},y+frac{1}{2}) | ||||||
| (bar{y},bar{z},bar{x}) | (y,bar{z}+frac{1}{2},x+frac{1}{2}) | (bar{y}+frac{1}{2},z+frac{1}{2},x) | (y+frac{1}{2},z,bar{x}+frac{1}{2}) | ||||||
| 24 | (d) | (2,.,.) | (x,0,frac{1}{4}) | (bar{x}+frac{1}{2},0,frac{3}{4}) | (frac{1}{4},x,0) | (frac{3}{4},bar{x}+frac{1}{2},0) | |||
| (0,frac{1}{4},x) | (0,frac{3}{4},bar{x}+frac{1}{2}) | (bar{x},0,frac{3}{4}) | (x+frac{1}{2},0,frac{1}{4}) | ||||||
| (frac{3}{4},bar{x},0) | (frac{1}{4},x+frac{1}{2},0) | (0,frac{3}{4},bar{x}) | (0,frac{1}{4},x+frac{1}{2}) | ||||||
| 16 | (c) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}) | |||
| (bar{x},bar{x},bar{x}) | (x+frac{1}{2},x,bar{x}+frac{1}{2}) | (x,bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},x) | ||||||
| 8 | (b) | (.,bar{3},.) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{1}{4},frac{3}{4},frac{3}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{3}{4}) | |||
| 8 | (a) | (.,bar{3},.) | (0,0,0) | (frac{1}{2},0,frac{1}{2}) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | |||
| 503 | 207 | (P 4 3 2) | ((0,0,0)+) | ||||||
| 24 | (k) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y,x,bar{z}) | (bar{y},bar{x},bar{z}) | (y,bar{x},z) | (bar{y},x,z) | ||||||
| (x,z,bar{y}) | (bar{x},z,y) | (bar{x},bar{z},bar{y}) | (x,bar{z},y) | ||||||
| (z,y,bar{x}) | (z,bar{y},x) | (bar{z},y,x) | (bar{z},bar{y},bar{x}) | ||||||
| 12 | (j) | (.,.,2) | (frac{1}{2},y,y) | (frac{1}{2},bar{y},y) | (frac{1}{2},y,bar{y}) | (frac{1}{2},bar{y},bar{y}) | |||
| (y,frac{1}{2},y) | (y,frac{1}{2},bar{y}) | (bar{y},frac{1}{2},y) | (bar{y},frac{1}{2},bar{y}) | ||||||
| (y,y,frac{1}{2}) | (bar{y},y,frac{1}{2}) | (y,bar{y},frac{1}{2}) | (bar{y},bar{y},frac{1}{2}) | ||||||
| 12 | (i) | (.,.,2) | (0,y,y) | (0,bar{y},y) | (0,y,bar{y}) | (0,bar{y},bar{y}) | |||
| (y,0,y) | (y,0,bar{y}) | (bar{y},0,y) | (bar{y},0,bar{y}) | ||||||
| (y,y,0) | (bar{y},y,0) | (y,bar{y},0) | (bar{y},bar{y},0) | ||||||
| 12 | (h) | (2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | ||||||
| (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (0,frac{1}{2},bar{x}) | (0,frac{1}{2},x) | ||||||
| 8 | (g) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x,x,bar{x}) | (bar{x},bar{x},bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| 6 | (f) | (4,.,.) | (x,frac{1}{2},frac{1}{2}) | (bar{x},frac{1}{2},frac{1}{2}) | (frac{1}{2},x,frac{1}{2}) | (frac{1}{2},bar{x},frac{1}{2}) | |||
| (frac{1}{2},frac{1}{2},x) | (frac{1}{2},frac{1}{2},bar{x}) | ||||||||
| 6 | (e) | (4,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 3 | (d) | (42,.,2) | (frac{1}{2},0,0) | (0,frac{1}{2},0) | (0,0,frac{1}{2}) | ||||
| 3 | (c) | (42,.,2) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | ||||
| 1 | (b) | (4,3,2) | (frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| 1 | (a) | (4,3,2) | (0,0,0) | ||||||
| 504 | 208 | (P 4_2 3 2) | ((0,0,0)+) | ||||||
| 24 | (m) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y+frac{1}{2},x+frac{1}{2},bar{z}+frac{1}{2}) | (bar{y}+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | (y+frac{1}{2},bar{x}+frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | ||||||
| (x+frac{1}{2},z+frac{1}{2},bar{y}+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x}+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{2},y+frac{1}{2}) | ||||||
| (z+frac{1}{2},y+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 12 | (l) | (.,.,2) | (frac{1}{4},y,y+frac{1}{2}) | (frac{3}{4},bar{y},y+frac{1}{2}) | (frac{3}{4},y,bar{y}+frac{1}{2}) | (frac{1}{4},bar{y},bar{y}+frac{1}{2}) | |||
| (y+frac{1}{2},frac{1}{4},y) | (y+frac{1}{2},frac{3}{4},bar{y}) | (bar{y}+frac{1}{2},frac{3}{4},y) | (bar{y}+frac{1}{2},frac{1}{4},bar{y}) | ||||||
| (y,y+frac{1}{2},frac{1}{4}) | (bar{y},y+frac{1}{2},frac{3}{4}) | (y,bar{y}+frac{1}{2},frac{3}{4}) | (bar{y},bar{y}+frac{1}{2},frac{1}{4}) | ||||||
| 12 | (k) | (.,.,2) | (frac{1}{4},y,bar{y}+frac{1}{2}) | (frac{3}{4},bar{y},bar{y}+frac{1}{2}) | (frac{3}{4},y,y+frac{1}{2}) | (frac{1}{4},bar{y},y+frac{1}{2}) | |||
| (bar{y}+frac{1}{2},frac{1}{4},y) | (bar{y}+frac{1}{2},frac{3}{4},bar{y}) | (y+frac{1}{2},frac{3}{4},y) | (y+frac{1}{2},frac{1}{4},bar{y}) | ||||||
| (y,bar{y}+frac{1}{2},frac{1}{4}) | (bar{y},bar{y}+frac{1}{2},frac{3}{4}) | (y,y+frac{1}{2},frac{3}{4}) | (bar{y},y+frac{1}{2},frac{1}{4}) | ||||||
| 12 | (j) | (2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | (0,x+frac{1}{2},frac{1}{2}) | (0,bar{x}+frac{1}{2},frac{1}{2}) | ||||||
| (x+frac{1}{2},frac{1}{2},0) | (bar{x}+frac{1}{2},frac{1}{2},0) | (frac{1}{2},0,bar{x}+frac{1}{2}) | (frac{1}{2},0,x+frac{1}{2}) | ||||||
| 12 | (i) | (2,.,.) | (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | |||
| (0,frac{1}{2},x) | (0,frac{1}{2},bar{x}) | (frac{1}{2},x+frac{1}{2},0) | (frac{1}{2},bar{x}+frac{1}{2},0) | ||||||
| (x+frac{1}{2},0,frac{1}{2}) | (bar{x}+frac{1}{2},0,frac{1}{2}) | (0,frac{1}{2},bar{x}+frac{1}{2}) | (0,frac{1}{2},x+frac{1}{2}) | ||||||
| 12 | (h) | (2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | (frac{1}{2},x+frac{1}{2},frac{1}{2}) | (frac{1}{2},bar{x}+frac{1}{2},frac{1}{2}) | ||||||
| (x+frac{1}{2},frac{1}{2},frac{1}{2}) | (bar{x}+frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{1}{2},frac{1}{2},bar{x}+frac{1}{2}) | (frac{1}{2},frac{1}{2},x+frac{1}{2}) | ||||||
| 8 | (g) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | ||||||
| 6 | (f) | (2,.,22) | (frac{1}{4},frac{1}{2},0) | (frac{3}{4},frac{1}{2},0) | (0,frac{1}{4},frac{1}{2}) | (0,frac{3}{4},frac{1}{2}) | |||
| (frac{1}{2},0,frac{1}{4}) | (frac{1}{2},0,frac{3}{4}) | ||||||||
| 6 | (e) | (2,.,22) | (frac{1}{4},0,frac{1}{2}) | (frac{3}{4},0,frac{1}{2}) | (frac{1}{2},frac{1}{4},0) | (frac{1}{2},frac{3}{4},0) | |||
| (0,frac{1}{2},frac{1}{4}) | (0,frac{1}{2},frac{3}{4}) | ||||||||
| 6 | (d) | (222,.,.) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | (0,frac{1}{2},0) | |||
| (frac{1}{2},0,0) | (0,0,frac{1}{2}) | ||||||||
| 4 | (c) | (.,3,2) | (frac{3}{4},frac{3}{4},frac{3}{4}) | (frac{1}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{1}{4}) | |||
| 4 | (b) | (.,3,2) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{3}{4}) | |||
| 2 | (a) | (2,3,.) | (0,0,0) | (frac{1}{2},frac{1}{2},frac{1}{2}) | |||||
| 505 | 209 | (F 4 3 2) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 96 | (j) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y,x,bar{z}) | (bar{y},bar{x},bar{z}) | (y,bar{x},z) | (bar{y},x,z) | ||||||
| (x,z,bar{y}) | (bar{x},z,y) | (bar{x},bar{z},bar{y}) | (x,bar{z},y) | ||||||
| (z,y,bar{x}) | (z,bar{y},x) | (bar{z},y,x) | (bar{z},bar{y},bar{x}) | ||||||
| 48 | (i) | (2,.,.) | (x,frac{1}{4},frac{1}{4}) | (bar{x},frac{3}{4},frac{1}{4}) | (frac{1}{4},x,frac{1}{4}) | (frac{1}{4},bar{x},frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},x) | (frac{3}{4},frac{1}{4},bar{x}) | (frac{1}{4},x,frac{3}{4}) | (frac{3}{4},bar{x},frac{3}{4}) | ||||||
| (x,frac{1}{4},frac{3}{4}) | (bar{x},frac{1}{4},frac{1}{4}) | (frac{1}{4},frac{1}{4},bar{x}) | (frac{1}{4},frac{3}{4},x) | ||||||
| 48 | (h) | (.,.,2) | (frac{1}{2},y,y) | (frac{1}{2},bar{y},y) | (frac{1}{2},y,bar{y}) | (frac{1}{2},bar{y},bar{y}) | |||
| (y,frac{1}{2},y) | (y,frac{1}{2},bar{y}) | (bar{y},frac{1}{2},y) | (bar{y},frac{1}{2},bar{y}) | ||||||
| (y,y,frac{1}{2}) | (bar{y},y,frac{1}{2}) | (y,bar{y},frac{1}{2}) | (bar{y},bar{y},frac{1}{2}) | ||||||
| 48 | (g) | (.,.,2) | (0,y,y) | (0,bar{y},y) | (0,y,bar{y}) | (0,bar{y},bar{y}) | |||
| (y,0,y) | (y,0,bar{y}) | (bar{y},0,y) | (bar{y},0,bar{y}) | ||||||
| (y,y,0) | (bar{y},y,0) | (y,bar{y},0) | (bar{y},bar{y},0) | ||||||
| 32 | (f) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x,x,bar{x}) | (bar{x},bar{x},bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| 24 | (e) | (4,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 24 | (d) | (2,.,22) | (0,frac{1}{4},frac{1}{4}) | (0,frac{3}{4},frac{1}{4}) | (frac{1}{4},0,frac{1}{4}) | (frac{1}{4},0,frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},0) | (frac{3}{4},frac{1}{4},0) | ||||||||
| 8 | (c) | (2,3,.) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{1}{4},frac{1}{4},frac{3}{4}) | |||||
| 4 | (b) | (4,3,2) | (frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| 4 | (a) | (4,3,2) | (0,0,0) | ||||||
| 506 | 210 | (F 4_1 3 2) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 96 | (h) | (x,y,z) | (bar{x},bar{y}+frac{1}{2},z+frac{1}{2}) | (bar{x}+frac{1}{2},y+frac{1}{2},bar{z}) | (x+frac{1}{2},bar{y},bar{z}+frac{1}{2}) | ||||
| (z,x,y) | (z+frac{1}{2},bar{x},bar{y}+frac{1}{2}) | (bar{z},bar{x}+frac{1}{2},y+frac{1}{2}) | (bar{z}+frac{1}{2},x+frac{1}{2},bar{y}) | ||||||
| (y,z,x) | (bar{y}+frac{1}{2},z+frac{1}{2},bar{x}) | (y+frac{1}{2},bar{z},bar{x}+frac{1}{2}) | (bar{y},bar{z}+frac{1}{2},x+frac{1}{2}) | ||||||
| (y+frac{3}{4},x+frac{1}{4},bar{z}+frac{3}{4}) | (bar{y}+frac{1}{4},bar{x}+frac{1}{4},bar{z}+frac{1}{4}) | (y+frac{1}{4},bar{x}+frac{3}{4},z+frac{3}{4}) | (bar{y}+frac{3}{4},x+frac{3}{4},z+frac{1}{4}) | ||||||
| (x+frac{3}{4},z+frac{1}{4},bar{y}+frac{3}{4}) | (bar{x}+frac{3}{4},z+frac{3}{4},y+frac{1}{4}) | (bar{x}+frac{1}{4},bar{z}+frac{1}{4},bar{y}+frac{1}{4}) | (x+frac{1}{4},bar{z}+frac{3}{4},y+frac{3}{4}) | ||||||
| (z+frac{3}{4},y+frac{1}{4},bar{x}+frac{3}{4}) | (z+frac{1}{4},bar{y}+frac{3}{4},x+frac{3}{4}) | (bar{z}+frac{3}{4},y+frac{3}{4},x+frac{1}{4}) | (bar{z}+frac{1}{4},bar{y}+frac{1}{4},bar{x}+frac{1}{4}) | ||||||
| 48 | (g) | (.,.,2) | (frac{1}{8},y,bar{y}+frac{1}{4}) | (frac{7}{8},bar{y}+frac{1}{2},bar{y}+frac{3}{4}) | (frac{3}{8},y+frac{1}{2},y+frac{3}{4}) | (frac{5}{8},bar{y},y+frac{1}{4}) | |||
| (bar{y}+frac{1}{4},frac{1}{8},y) | (bar{y}+frac{3}{4},frac{7}{8},bar{y}+frac{1}{2}) | (y+frac{3}{4},frac{3}{8},y+frac{1}{2}) | (y+frac{1}{4},frac{5}{8},bar{y}) | ||||||
| (y,bar{y}+frac{1}{4},frac{1}{8}) | (bar{y}+frac{1}{2},bar{y}+frac{3}{4},frac{7}{8}) | (y+frac{1}{2},y+frac{3}{4},frac{3}{8}) | (bar{y},y+frac{1}{4},frac{5}{8}) | ||||||
| 48 | (f) | (2,.,.) | (x,0,0) | (bar{x},frac{1}{2},frac{1}{2}) | (0,x,0) | (frac{1}{2},bar{x},frac{1}{2}) | |||
| (0,0,x) | (frac{1}{2},frac{1}{2},bar{x}) | (frac{3}{4},x+frac{1}{4},frac{3}{4}) | (frac{1}{4},bar{x}+frac{1}{4},frac{1}{4}) | ||||||
| (x+frac{3}{4},frac{1}{4},frac{3}{4}) | (bar{x}+frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},bar{x}+frac{3}{4}) | (frac{1}{4},frac{3}{4},x+frac{3}{4}) | ||||||
| 32 | (e) | (.,3,.) | (x,x,x) | (bar{x},bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},bar{x}) | (x+frac{1}{2},bar{x},bar{x}+frac{1}{2}) | |||
| (x+frac{3}{4},x+frac{1}{4},bar{x}+frac{3}{4}) | (bar{x}+frac{1}{4},bar{x}+frac{1}{4},bar{x}+frac{1}{4}) | (x+frac{1}{4},bar{x}+frac{3}{4},x+frac{3}{4}) | (bar{x}+frac{3}{4},x+frac{3}{4},x+frac{1}{4}) | ||||||
| 16 | (d) | (.,3,2) | (frac{5}{8},frac{5}{8},frac{5}{8}) | (frac{3}{8},frac{7}{8},frac{1}{8}) | (frac{7}{8},frac{1}{8},frac{3}{8}) | (frac{1}{8},frac{3}{8},frac{7}{8}) | |||
| 16 | (c) | (.,3,2) | (frac{1}{8},frac{1}{8},frac{1}{8}) | (frac{7}{8},frac{3}{8},frac{5}{8}) | (frac{3}{8},frac{5}{8},frac{7}{8}) | (frac{5}{8},frac{7}{8},frac{3}{8}) | |||
| 8 | (b) | (2,3,.) | (frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{1}{4},frac{3}{4},frac{1}{4}) | |||||
| 8 | (a) | (2,3,.) | (0,0,0) | (frac{3}{4},frac{1}{4},frac{3}{4}) | |||||
| 507 | 211 | (I 4 3 2) | ((0,0,0)+) | ( (frac{1}{2},frac{1}{2},frac{1}{2})+ ) | |||||
| 48 | (j) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y,x,bar{z}) | (bar{y},bar{x},bar{z}) | (y,bar{x},z) | (bar{y},x,z) | ||||||
| (x,z,bar{y}) | (bar{x},z,y) | (bar{x},bar{z},bar{y}) | (x,bar{z},y) | ||||||
| (z,y,bar{x}) | (z,bar{y},x) | (bar{z},y,x) | (bar{z},bar{y},bar{x}) | ||||||
| 24 | (i) | (.,.,2) | (frac{1}{4},y,bar{y}+frac{1}{2}) | (frac{3}{4},bar{y},bar{y}+frac{1}{2}) | (frac{3}{4},y,y+frac{1}{2}) | (frac{1}{4},bar{y},y+frac{1}{2}) | |||
| (bar{y}+frac{1}{2},frac{1}{4},y) | (bar{y}+frac{1}{2},frac{3}{4},bar{y}) | (y+frac{1}{2},frac{3}{4},y) | (y+frac{1}{2},frac{1}{4},bar{y}) | ||||||
| (y,bar{y}+frac{1}{2},frac{1}{4}) | (bar{y},bar{y}+frac{1}{2},frac{3}{4}) | (y,y+frac{1}{2},frac{3}{4}) | (bar{y},y+frac{1}{2},frac{1}{4}) | ||||||
| 24 | (h) | (.,.,2) | (0,y,y) | (0,bar{y},y) | (0,y,bar{y}) | (0,bar{y},bar{y}) | |||
| (y,0,y) | (y,0,bar{y}) | (bar{y},0,y) | (bar{y},0,bar{y}) | ||||||
| (y,y,0) | (bar{y},y,0) | (y,bar{y},0) | (bar{y},bar{y},0) | ||||||
| 24 | (g) | (2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | ||||||
| (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (0,frac{1}{2},bar{x}) | (0,frac{1}{2},x) | ||||||
| 16 | (f) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x,x,bar{x}) | (bar{x},bar{x},bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| 12 | (e) | (4,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 12 | (d) | (2,.,22) | (frac{1}{4},frac{1}{2},0) | (frac{3}{4},frac{1}{2},0) | (0,frac{1}{4},frac{1}{2}) | (0,frac{3}{4},frac{1}{2}) | |||
| (frac{1}{2},0,frac{1}{4}) | (frac{1}{2},0,frac{3}{4}) | ||||||||
| 8 | (c) | (.,3,2) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{3}{4}) | |||
| 6 | (b) | (42,.,2) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | ||||
| 2 | (a) | (4,3,2) | (0,0,0) | ||||||
| 508 | 212 | (P 4_3 3 2) | ((0,0,0)+) | ||||||
| 24 | (e) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},bar{z}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x}+frac{1}{2},bar{y}) | (bar{z}+frac{1}{2},bar{x},y+frac{1}{2}) | (bar{z},x+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y},z+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},bar{x}) | (bar{y}+frac{1}{2},bar{z},x+frac{1}{2}) | ||||||
| (y+frac{1}{4},x+frac{3}{4},bar{z}+frac{3}{4}) | (bar{y}+frac{1}{4},bar{x}+frac{1}{4},bar{z}+frac{1}{4}) | (y+frac{3}{4},bar{x}+frac{3}{4},z+frac{1}{4}) | (bar{y}+frac{3}{4},x+frac{1}{4},z+frac{3}{4}) | ||||||
| (x+frac{1}{4},z+frac{3}{4},bar{y}+frac{3}{4}) | (bar{x}+frac{3}{4},z+frac{1}{4},y+frac{3}{4}) | (bar{x}+frac{1}{4},bar{z}+frac{1}{4},bar{y}+frac{1}{4}) | (x+frac{3}{4},bar{z}+frac{3}{4},y+frac{1}{4}) | ||||||
| (z+frac{1}{4},y+frac{3}{4},bar{x}+frac{3}{4}) | (z+frac{3}{4},bar{y}+frac{3}{4},x+frac{1}{4}) | (bar{z}+frac{3}{4},y+frac{1}{4},x+frac{3}{4}) | (bar{z}+frac{1}{4},bar{y}+frac{1}{4},bar{x}+frac{1}{4}) | ||||||
| 12 | (d) | (.,.,2) | (frac{1}{8},y,bar{y}+frac{1}{4}) | (frac{3}{8},bar{y},bar{y}+frac{3}{4}) | (frac{7}{8},y+frac{1}{2},y+frac{1}{4}) | (frac{5}{8},bar{y}+frac{1}{2},y+frac{3}{4}) | |||
| (bar{y}+frac{1}{4},frac{1}{8},y) | (bar{y}+frac{3}{4},frac{3}{8},bar{y}) | (y+frac{1}{4},frac{7}{8},y+frac{1}{2}) | (y+frac{3}{4},frac{5}{8},bar{y}+frac{1}{2}) | ||||||
| (y,bar{y}+frac{1}{4},frac{1}{8}) | (bar{y},bar{y}+frac{3}{4},frac{3}{8}) | (y+frac{1}{2},y+frac{1}{4},frac{7}{8}) | (bar{y}+frac{1}{2},y+frac{3}{4},frac{5}{8}) | ||||||
| 8 | (c) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}) | |||
| (x+frac{1}{4},x+frac{3}{4},bar{x}+frac{3}{4}) | (bar{x}+frac{1}{4},bar{x}+frac{1}{4},bar{x}+frac{1}{4}) | (x+frac{3}{4},bar{x}+frac{3}{4},x+frac{1}{4}) | (bar{x}+frac{3}{4},x+frac{1}{4},x+frac{3}{4}) | ||||||
| 4 | (b) | (.,3,2) | (frac{5}{8},frac{5}{8},frac{5}{8}) | (frac{7}{8},frac{3}{8},frac{1}{8}) | (frac{3}{8},frac{1}{8},frac{7}{8}) | (frac{1}{8},frac{7}{8},frac{3}{8}) | |||
| 4 | (a) | (.,3,2) | (frac{1}{8},frac{1}{8},frac{1}{8}) | (frac{3}{8},frac{7}{8},frac{5}{8}) | (frac{7}{8},frac{5}{8},frac{3}{8}) | (frac{5}{8},frac{3}{8},frac{7}{8}) | |||
| 509 | 213 | (P 4_1 3 2) | ((0,0,0)+) | ||||||
| 24 | (e) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},bar{z}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x}+frac{1}{2},bar{y}) | (bar{z}+frac{1}{2},bar{x},y+frac{1}{2}) | (bar{z},x+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y},z+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},bar{x}) | (bar{y}+frac{1}{2},bar{z},x+frac{1}{2}) | ||||||
| (y+frac{3}{4},x+frac{1}{4},bar{z}+frac{1}{4}) | (bar{y}+frac{3}{4},bar{x}+frac{3}{4},bar{z}+frac{3}{4}) | (y+frac{1}{4},bar{x}+frac{1}{4},z+frac{3}{4}) | (bar{y}+frac{1}{4},x+frac{3}{4},z+frac{1}{4}) | ||||||
| (x+frac{3}{4},z+frac{1}{4},bar{y}+frac{1}{4}) | (bar{x}+frac{1}{4},z+frac{3}{4},y+frac{1}{4}) | (bar{x}+frac{3}{4},bar{z}+frac{3}{4},bar{y}+frac{3}{4}) | (x+frac{1}{4},bar{z}+frac{1}{4},y+frac{3}{4}) | ||||||
| (z+frac{3}{4},y+frac{1}{4},bar{x}+frac{1}{4}) | (z+frac{1}{4},bar{y}+frac{1}{4},x+frac{3}{4}) | (bar{z}+frac{1}{4},y+frac{3}{4},x+frac{1}{4}) | (bar{z}+frac{3}{4},bar{y}+frac{3}{4},bar{x}+frac{3}{4}) | ||||||
| 12 | (d) | (.,.,2) | (frac{1}{8},y,y+frac{1}{4}) | (frac{3}{8},bar{y},y+frac{3}{4}) | (frac{7}{8},y+frac{1}{2},bar{y}+frac{1}{4}) | (frac{5}{8},bar{y}+frac{1}{2},bar{y}+frac{3}{4}) | |||
| (y+frac{1}{4},frac{1}{8},y) | (y+frac{3}{4},frac{3}{8},bar{y}) | (bar{y}+frac{1}{4},frac{7}{8},y+frac{1}{2}) | (bar{y}+frac{3}{4},frac{5}{8},bar{y}+frac{1}{2}) | ||||||
| (y,y+frac{1}{4},frac{1}{8}) | (bar{y},y+frac{3}{4},frac{3}{8}) | (y+frac{1}{2},bar{y}+frac{1}{4},frac{7}{8}) | (bar{y}+frac{1}{2},bar{y}+frac{3}{4},frac{5}{8}) | ||||||
| 8 | (c) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}) | |||
| (x+frac{3}{4},x+frac{1}{4},bar{x}+frac{1}{4}) | (bar{x}+frac{3}{4},bar{x}+frac{3}{4},bar{x}+frac{3}{4}) | (x+frac{1}{4},bar{x}+frac{1}{4},x+frac{3}{4}) | (bar{x}+frac{1}{4},x+frac{3}{4},x+frac{1}{4}) | ||||||
| 4 | (b) | (.,3,2) | (frac{7}{8},frac{7}{8},frac{7}{8}) | (frac{5}{8},frac{1}{8},frac{3}{8}) | (frac{1}{8},frac{3}{8},frac{5}{8}) | (frac{3}{8},frac{5}{8},frac{1}{8}) | |||
| 4 | (a) | (.,3,2) | (frac{3}{8},frac{3}{8},frac{3}{8}) | (frac{1}{8},frac{5}{8},frac{7}{8}) | (frac{5}{8},frac{7}{8},frac{1}{8}) | (frac{7}{8},frac{1}{8},frac{5}{8}) | |||
| 510 | 214 | (I 4_1 3 2) | ((0,0,0)+) | ( (frac{1}{2},frac{1}{2},frac{1}{2})+ ) | |||||
| 48 | (i) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},bar{z}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x}+frac{1}{2},bar{y}) | (bar{z}+frac{1}{2},bar{x},y+frac{1}{2}) | (bar{z},x+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y},z+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},bar{x}) | (bar{y}+frac{1}{2},bar{z},x+frac{1}{2}) | ||||||
| (y+frac{3}{4},x+frac{1}{4},bar{z}+frac{1}{4}) | (bar{y}+frac{3}{4},bar{x}+frac{3}{4},bar{z}+frac{3}{4}) | (y+frac{1}{4},bar{x}+frac{1}{4},z+frac{3}{4}) | (bar{y}+frac{1}{4},x+frac{3}{4},z+frac{1}{4}) | ||||||
| (x+frac{3}{4},z+frac{1}{4},bar{y}+frac{1}{4}) | (bar{x}+frac{1}{4},z+frac{3}{4},y+frac{1}{4}) | (bar{x}+frac{3}{4},bar{z}+frac{3}{4},bar{y}+frac{3}{4}) | (x+frac{1}{4},bar{z}+frac{1}{4},y+frac{3}{4}) | ||||||
| (z+frac{3}{4},y+frac{1}{4},bar{x}+frac{1}{4}) | (z+frac{1}{4},bar{y}+frac{1}{4},x+frac{3}{4}) | (bar{z}+frac{1}{4},y+frac{3}{4},x+frac{1}{4}) | (bar{z}+frac{3}{4},bar{y}+frac{3}{4},bar{x}+frac{3}{4}) | ||||||
| 24 | (h) | (.,.,2) | (frac{1}{8},y,bar{y}+frac{1}{4}) | (frac{3}{8},bar{y},bar{y}+frac{3}{4}) | (frac{7}{8},y+frac{1}{2},y+frac{1}{4}) | (frac{5}{8},bar{y}+frac{1}{2},y+frac{3}{4}) | |||
| (bar{y}+frac{1}{4},frac{1}{8},y) | (bar{y}+frac{3}{4},frac{3}{8},bar{y}) | (y+frac{1}{4},frac{7}{8},y+frac{1}{2}) | (y+frac{3}{4},frac{5}{8},bar{y}+frac{1}{2}) | ||||||
| (y,bar{y}+frac{1}{4},frac{1}{8}) | (bar{y},bar{y}+frac{3}{4},frac{3}{8}) | (y+frac{1}{2},y+frac{1}{4},frac{7}{8}) | (bar{y}+frac{1}{2},y+frac{3}{4},frac{5}{8}) | ||||||
| 24 | (g) | (.,.,2) | (frac{1}{8},y,y+frac{1}{4}) | (frac{3}{8},bar{y},y+frac{3}{4}) | (frac{7}{8},y+frac{1}{2},bar{y}+frac{1}{4}) | (frac{5}{8},bar{y}+frac{1}{2},bar{y}+frac{3}{4}) | |||
| (y+frac{1}{4},frac{1}{8},y) | (y+frac{3}{4},frac{3}{8},bar{y}) | (bar{y}+frac{1}{4},frac{7}{8},y+frac{1}{2}) | (bar{y}+frac{3}{4},frac{5}{8},bar{y}+frac{1}{2}) | ||||||
| (y,y+frac{1}{4},frac{1}{8}) | (bar{y},y+frac{3}{4},frac{3}{8}) | (y+frac{1}{2},bar{y}+frac{1}{4},frac{7}{8}) | (bar{y}+frac{1}{2},bar{y}+frac{3}{4},frac{5}{8}) | ||||||
| 24 | (f) | (2,.,.) | (x,0,frac{1}{4}) | (bar{x}+frac{1}{2},0,frac{3}{4}) | (frac{1}{4},x,0) | (frac{3}{4},bar{x}+frac{1}{2},0) | |||
| (0,frac{1}{4},x) | (0,frac{3}{4},bar{x}+frac{1}{2}) | (frac{3}{4},x+frac{1}{4},0) | (frac{3}{4},bar{x}+frac{3}{4},frac{1}{2}) | ||||||
| (x+frac{3}{4},frac{1}{2},frac{1}{4}) | (bar{x}+frac{1}{4},0,frac{1}{4}) | (0,frac{1}{4},bar{x}+frac{1}{4}) | (frac{1}{2},frac{1}{4},x+frac{3}{4}) | ||||||
| 16 | (e) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}) | |||
| (x+frac{3}{4},x+frac{1}{4},bar{x}+frac{1}{4}) | (bar{x}+frac{3}{4},bar{x}+frac{3}{4},bar{x}+frac{3}{4}) | (x+frac{1}{4},bar{x}+frac{1}{4},x+frac{3}{4}) | (bar{x}+frac{1}{4},x+frac{3}{4},x+frac{1}{4}) | ||||||
| 12 | (d) | (2,.,22) | (frac{5}{8},0,frac{1}{4}) | (frac{7}{8},0,frac{3}{4}) | (frac{1}{4},frac{5}{8},0) | (frac{3}{4},frac{7}{8},0) | |||
| (0,frac{1}{4},frac{5}{8}) | (0,frac{3}{4},frac{7}{8}) | ||||||||
| 12 | (c) | (2,.,22) | (frac{1}{8},0,frac{1}{4}) | (frac{3}{8},0,frac{3}{4}) | (frac{1}{4},frac{1}{8},0) | (frac{3}{4},frac{3}{8},0) | |||
| (0,frac{1}{4},frac{1}{8}) | (0,frac{3}{4},frac{3}{8}) | ||||||||
| 8 | (b) | (.,3,2) | (frac{7}{8},frac{7}{8},frac{7}{8}) | (frac{5}{8},frac{1}{8},frac{3}{8}) | (frac{1}{8},frac{3}{8},frac{5}{8}) | (frac{3}{8},frac{5}{8},frac{1}{8}) | |||
| 8 | (a) | (.,3,2) | (frac{1}{8},frac{1}{8},frac{1}{8}) | (frac{3}{8},frac{7}{8},frac{5}{8}) | (frac{7}{8},frac{5}{8},frac{3}{8}) | (frac{5}{8},frac{3}{8},frac{7}{8}) | |||
| 511 | 215 | (P bar{4} 3 m) | ((0,0,0)+) | ||||||
| 24 | (j) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y,x,z) | (bar{y},bar{x},z) | (y,bar{x},bar{z}) | (bar{y},x,bar{z}) | ||||||
| (x,z,y) | (bar{x},z,bar{y}) | (bar{x},bar{z},y) | (x,bar{z},bar{y}) | ||||||
| (z,y,x) | (z,bar{y},bar{x}) | (bar{z},y,bar{x}) | (bar{z},bar{y},x) | ||||||
| 12 | (i) | (.,.,m) | (x,x,z) | (bar{x},bar{x},z) | (bar{x},x,bar{z}) | (x,bar{x},bar{z}) | |||
| (z,x,x) | (z,bar{x},bar{x}) | (bar{z},bar{x},x) | (bar{z},x,bar{x}) | ||||||
| (x,z,x) | (bar{x},z,bar{x}) | (x,bar{z},bar{x}) | (bar{x},bar{z},x) | ||||||
| 12 | (h) | (2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | ||||||
| (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (0,frac{1}{2},x) | (0,frac{1}{2},bar{x}) | ||||||
| 6 | (g) | (2,.,mm) | (x,frac{1}{2},frac{1}{2}) | (bar{x},frac{1}{2},frac{1}{2}) | (frac{1}{2},x,frac{1}{2}) | (frac{1}{2},bar{x},frac{1}{2}) | |||
| (frac{1}{2},frac{1}{2},x) | (frac{1}{2},frac{1}{2},bar{x}) | ||||||||
| 6 | (f) | (2,.,mm) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 4 | (e) | (.,3,m) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| 3 | (d) | (bar{4}2,.,m) | (frac{1}{2},0,0) | (0,frac{1}{2},0) | (0,0,frac{1}{2}) | ||||
| 3 | (c) | (bar{4}2,.,m) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | ||||
| 1 | (b) | (bar{4},3,m) | (frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| 1 | (a) | (bar{4},3,m) | (0,0,0) | ||||||
| 512 | 216 | (F bar{4} 3 m) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 96 | (i) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y,x,z) | (bar{y},bar{x},z) | (y,bar{x},bar{z}) | (bar{y},x,bar{z}) | ||||||
| (x,z,y) | (bar{x},z,bar{y}) | (bar{x},bar{z},y) | (x,bar{z},bar{y}) | ||||||
| (z,y,x) | (z,bar{y},bar{x}) | (bar{z},y,bar{x}) | (bar{z},bar{y},x) | ||||||
| 48 | (h) | (.,.,m) | (x,x,z) | (bar{x},bar{x},z) | (bar{x},x,bar{z}) | (x,bar{x},bar{z}) | |||
| (z,x,x) | (z,bar{x},bar{x}) | (bar{z},bar{x},x) | (bar{z},x,bar{x}) | ||||||
| (x,z,x) | (bar{x},z,bar{x}) | (x,bar{z},bar{x}) | (bar{x},bar{z},x) | ||||||
| 24 | (g) | (2,.,mm) | (x,frac{1}{4},frac{1}{4}) | (bar{x},frac{3}{4},frac{1}{4}) | (frac{1}{4},x,frac{1}{4}) | (frac{1}{4},bar{x},frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},x) | (frac{3}{4},frac{1}{4},bar{x}) | ||||||||
| 24 | (f) | (2,.,mm) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 16 | (e) | (.,3,m) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| 4 | (d) | (bar{4},3,m) | (frac{3}{4},frac{3}{4},frac{3}{4}) | ||||||
| 4 | (c) | (bar{4},3,m) | (frac{1}{4},frac{1}{4},frac{1}{4}) | ||||||
| 4 | (b) | (bar{4},3,m) | (frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| 4 | (a) | (bar{4},3,m) | (0,0,0) | ||||||
| 513 | 217 | (I bar{4} 3 m) | ((0,0,0)+) | ( (frac{1}{2},frac{1}{2},frac{1}{2})+ ) | |||||
| 48 | (h) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y,x,z) | (bar{y},bar{x},z) | (y,bar{x},bar{z}) | (bar{y},x,bar{z}) | ||||||
| (x,z,y) | (bar{x},z,bar{y}) | (bar{x},bar{z},y) | (x,bar{z},bar{y}) | ||||||
| (z,y,x) | (z,bar{y},bar{x}) | (bar{z},y,bar{x}) | (bar{z},bar{y},x) | ||||||
| 24 | (g) | (.,.,m) | (x,x,z) | (bar{x},bar{x},z) | (bar{x},x,bar{z}) | (x,bar{x},bar{z}) | |||
| (z,x,x) | (z,bar{x},bar{x}) | (bar{z},bar{x},x) | (bar{z},x,bar{x}) | ||||||
| (x,z,x) | (bar{x},z,bar{x}) | (x,bar{z},bar{x}) | (bar{x},bar{z},x) | ||||||
| 24 | (f) | (2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | ||||||
| (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (0,frac{1}{2},x) | (0,frac{1}{2},bar{x}) | ||||||
| 12 | (e) | (2,.,mm) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 12 | (d) | (bar{4},.,.) | (frac{1}{4},frac{1}{2},0) | (frac{3}{4},frac{1}{2},0) | (0,frac{1}{4},frac{1}{2}) | (0,frac{3}{4},frac{1}{2}) | |||
| (frac{1}{2},0,frac{1}{4}) | (frac{1}{2},0,frac{3}{4}) | ||||||||
| 8 | (c) | (.,3,m) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| 6 | (b) | (bar{4}2,.,m) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | ||||
| 2 | (a) | (bar{4},3,m) | (0,0,0) | ||||||
| 514 | 218 | (P bar{4} 3 n) | ((0,0,0)+) | ||||||
| 24 | (i) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},bar{x}+frac{1}{2},z+frac{1}{2}) | (y+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | (bar{y}+frac{1}{2},x+frac{1}{2},bar{z}+frac{1}{2}) | ||||||
| (x+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{1}{2},bar{y}+frac{1}{2}) | (bar{x}+frac{1}{2},bar{z}+frac{1}{2},y+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (z+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | (bar{z}+frac{1}{2},y+frac{1}{2},bar{x}+frac{1}{2}) | (bar{z}+frac{1}{2},bar{y}+frac{1}{2},x+frac{1}{2}) | ||||||
| 12 | (h) | (2,.,.) | (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | |||
| (0,frac{1}{2},x) | (0,frac{1}{2},bar{x}) | (frac{1}{2},x+frac{1}{2},0) | (frac{1}{2},bar{x}+frac{1}{2},0) | ||||||
| (x+frac{1}{2},0,frac{1}{2}) | (bar{x}+frac{1}{2},0,frac{1}{2}) | (0,frac{1}{2},x+frac{1}{2}) | (0,frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 12 | (g) | (2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | (0,x+frac{1}{2},frac{1}{2}) | (0,bar{x}+frac{1}{2},frac{1}{2}) | ||||||
| (x+frac{1}{2},frac{1}{2},0) | (bar{x}+frac{1}{2},frac{1}{2},0) | (frac{1}{2},0,x+frac{1}{2}) | (frac{1}{2},0,bar{x}+frac{1}{2}) | ||||||
| 12 | (f) | (2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | (frac{1}{2},x+frac{1}{2},frac{1}{2}) | (frac{1}{2},bar{x}+frac{1}{2},frac{1}{2}) | ||||||
| (x+frac{1}{2},frac{1}{2},frac{1}{2}) | (bar{x}+frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{1}{2},frac{1}{2},x+frac{1}{2}) | (frac{1}{2},frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 8 | (e) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 6 | (d) | (bar{4},.,.) | (frac{1}{4},0,frac{1}{2}) | (frac{3}{4},0,frac{1}{2}) | (frac{1}{2},frac{1}{4},0) | (frac{1}{2},frac{3}{4},0) | |||
| (0,frac{1}{2},frac{1}{4}) | (0,frac{1}{2},frac{3}{4}) | ||||||||
| 6 | (c) | (bar{4},.,.) | (frac{1}{4},frac{1}{2},0) | (frac{3}{4},frac{1}{2},0) | (0,frac{1}{4},frac{1}{2}) | (0,frac{3}{4},frac{1}{2}) | |||
| (frac{1}{2},0,frac{1}{4}) | (frac{1}{2},0,frac{3}{4}) | ||||||||
| 6 | (b) | (222,.,.) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | (0,frac{1}{2},0) | |||
| (frac{1}{2},0,0) | (0,0,frac{1}{2}) | ||||||||
| 2 | (a) | (2,3,.) | (0,0,0) | (frac{1}{2},frac{1}{2},frac{1}{2}) | |||||
| 515 | 219 | (F bar{4} 3 c) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 96 | (h) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},bar{x}+frac{1}{2},z+frac{1}{2}) | (y+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | (bar{y}+frac{1}{2},x+frac{1}{2},bar{z}+frac{1}{2}) | ||||||
| (x+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{1}{2},bar{y}+frac{1}{2}) | (bar{x}+frac{1}{2},bar{z}+frac{1}{2},y+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (z+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | (bar{z}+frac{1}{2},y+frac{1}{2},bar{x}+frac{1}{2}) | (bar{z}+frac{1}{2},bar{y}+frac{1}{2},x+frac{1}{2}) | ||||||
| 48 | (g) | (2,.,.) | (x,frac{1}{4},frac{1}{4}) | (bar{x},frac{3}{4},frac{1}{4}) | (frac{1}{4},x,frac{1}{4}) | (frac{1}{4},bar{x},frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},x) | (frac{3}{4},frac{1}{4},bar{x}) | (frac{3}{4},x+frac{1}{2},frac{3}{4}) | (frac{1}{4},bar{x}+frac{1}{2},frac{3}{4}) | ||||||
| (x+frac{1}{2},frac{3}{4},frac{3}{4}) | (bar{x}+frac{1}{2},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},x+frac{1}{2}) | (frac{3}{4},frac{1}{4},bar{x}+frac{1}{2}) | ||||||
| 48 | (f) | (2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | (frac{1}{2},x+frac{1}{2},frac{1}{2}) | (frac{1}{2},bar{x}+frac{1}{2},frac{1}{2}) | ||||||
| (x+frac{1}{2},frac{1}{2},frac{1}{2}) | (bar{x}+frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{1}{2},frac{1}{2},x+frac{1}{2}) | (frac{1}{2},frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 32 | (e) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 24 | (d) | (bar{4},.,.) | (frac{1}{4},0,0) | (frac{3}{4},0,0) | (0,frac{1}{4},0) | (0,frac{3}{4},0) | |||
| (0,0,frac{1}{4}) | (0,0,frac{3}{4}) | ||||||||
| 24 | (c) | (bar{4},.,.) | (0,frac{1}{4},frac{1}{4}) | (0,frac{3}{4},frac{1}{4}) | (frac{1}{4},0,frac{1}{4}) | (frac{1}{4},0,frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},0) | (frac{3}{4},frac{1}{4},0) | ||||||||
| 8 | (b) | (2,3,.) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{3}{4}) | |||||
| 8 | (a) | (2,3,.) | (0,0,0) | (frac{1}{2},frac{1}{2},frac{1}{2}) | |||||
| 516 | 220 | (I bar{4} 3 d) | ((0,0,0)+) | ( (frac{1}{2},frac{1}{2},frac{1}{2})+ ) | |||||
| 48 | (e) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},bar{z}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x}+frac{1}{2},bar{y}) | (bar{z}+frac{1}{2},bar{x},y+frac{1}{2}) | (bar{z},x+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y},z+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},bar{x}) | (bar{y}+frac{1}{2},bar{z},x+frac{1}{2}) | ||||||
| (y+frac{1}{4},x+frac{1}{4},z+frac{1}{4}) | (bar{y}+frac{1}{4},bar{x}+frac{3}{4},z+frac{3}{4}) | (y+frac{3}{4},bar{x}+frac{1}{4},bar{z}+frac{3}{4}) | (bar{y}+frac{3}{4},x+frac{3}{4},bar{z}+frac{1}{4}) | ||||||
| (x+frac{1}{4},z+frac{1}{4},y+frac{1}{4}) | (bar{x}+frac{3}{4},z+frac{3}{4},bar{y}+frac{1}{4}) | (bar{x}+frac{1}{4},bar{z}+frac{3}{4},y+frac{3}{4}) | (x+frac{3}{4},bar{z}+frac{1}{4},bar{y}+frac{3}{4}) | ||||||
| (z+frac{1}{4},y+frac{1}{4},x+frac{1}{4}) | (z+frac{3}{4},bar{y}+frac{1}{4},bar{x}+frac{3}{4}) | (bar{z}+frac{3}{4},y+frac{3}{4},bar{x}+frac{1}{4}) | (bar{z}+frac{1}{4},bar{y}+frac{3}{4},x+frac{3}{4}) | ||||||
| 24 | (d) | (2,.,.) | (x,0,frac{1}{4}) | (bar{x}+frac{1}{2},0,frac{3}{4}) | (frac{1}{4},x,0) | (frac{3}{4},bar{x}+frac{1}{2},0) | |||
| (0,frac{1}{4},x) | (0,frac{3}{4},bar{x}+frac{1}{2}) | (frac{1}{4},x+frac{1}{4},frac{1}{2}) | (frac{1}{4},bar{x}+frac{3}{4},0) | ||||||
| (x+frac{1}{4},frac{1}{2},frac{1}{4}) | (bar{x}+frac{3}{4},0,frac{1}{4}) | (frac{1}{2},frac{1}{4},x+frac{1}{4}) | (0,frac{1}{4},bar{x}+frac{3}{4}) | ||||||
| 16 | (c) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}) | |||
| (x+frac{1}{4},x+frac{1}{4},x+frac{1}{4}) | (bar{x}+frac{1}{4},bar{x}+frac{3}{4},x+frac{3}{4}) | (x+frac{3}{4},bar{x}+frac{1}{4},bar{x}+frac{3}{4}) | (bar{x}+frac{3}{4},x+frac{3}{4},bar{x}+frac{1}{4}) | ||||||
| 12 | (b) | (bar{4},.,.) | (frac{7}{8},0,frac{1}{4}) | (frac{5}{8},0,frac{3}{4}) | (frac{1}{4},frac{7}{8},0) | (frac{3}{4},frac{5}{8},0) | |||
| (0,frac{1}{4},frac{7}{8}) | (0,frac{3}{4},frac{5}{8}) | ||||||||
| 12 | (a) | (bar{4},.,.) | (frac{3}{8},0,frac{1}{4}) | (frac{1}{8},0,frac{3}{4}) | (frac{1}{4},frac{3}{8},0) | (frac{3}{4},frac{1}{8},0) | |||
| (0,frac{1}{4},frac{3}{8}) | (0,frac{3}{4},frac{1}{8}) | ||||||||
| 517 | 221 | (P 4/m bar{3} 2/m) | ((0,0,0)+) | ||||||
| 48 | (n) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y,x,bar{z}) | (bar{y},bar{x},bar{z}) | (y,bar{x},z) | (bar{y},x,z) | ||||||
| (x,z,bar{y}) | (bar{x},z,y) | (bar{x},bar{z},bar{y}) | (x,bar{z},y) | ||||||
| (z,y,bar{x}) | (z,bar{y},x) | (bar{z},y,x) | (bar{z},bar{y},bar{x}) | ||||||
| (bar{x},bar{y},bar{z}) | (x,y,bar{z}) | (x,bar{y},z) | (bar{x},y,z) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x,y) | (z,x,bar{y}) | (z,bar{x},y) | ||||||
| (bar{y},bar{z},bar{x}) | (y,bar{z},x) | (bar{y},z,x) | (y,z,bar{x}) | ||||||
| (bar{y},bar{x},z) | (y,x,z) | (bar{y},x,bar{z}) | (y,bar{x},bar{z}) | ||||||
| (bar{x},bar{z},y) | (x,bar{z},bar{y}) | (x,z,y) | (bar{x},z,bar{y}) | ||||||
| (bar{z},bar{y},x) | (bar{z},y,bar{x}) | (z,bar{y},bar{x}) | (z,y,x) | ||||||
| 24 | (m) | (.,.,m) | (x,x,z) | (bar{x},bar{x},z) | (bar{x},x,bar{z}) | (x,bar{x},bar{z}) | |||
| (z,x,x) | (z,bar{x},bar{x}) | (bar{z},bar{x},x) | (bar{z},x,bar{x}) | ||||||
| (x,z,x) | (bar{x},z,bar{x}) | (x,bar{z},bar{x}) | (bar{x},bar{z},x) | ||||||
| (x,x,bar{z}) | (bar{x},bar{x},bar{z}) | (x,bar{x},z) | (bar{x},x,z) | ||||||
| (x,z,bar{x}) | (bar{x},z,x) | (bar{x},bar{z},bar{x}) | (x,bar{z},x) | ||||||
| (z,x,bar{x}) | (z,bar{x},x) | (bar{z},x,x) | (bar{z},bar{x},bar{x}) | ||||||
| 24 | (l) | (m,.,.) | (frac{1}{2},y,z) | (frac{1}{2},bar{y},z) | (frac{1}{2},y,bar{z}) | (frac{1}{2},bar{y},bar{z}) | |||
| (z,frac{1}{2},y) | (z,frac{1}{2},bar{y}) | (bar{z},frac{1}{2},y) | (bar{z},frac{1}{2},bar{y}) | ||||||
| (y,z,frac{1}{2}) | (bar{y},z,frac{1}{2}) | (y,bar{z},frac{1}{2}) | (bar{y},bar{z},frac{1}{2}) | ||||||
| (y,frac{1}{2},bar{z}) | (bar{y},frac{1}{2},bar{z}) | (y,frac{1}{2},z) | (bar{y},frac{1}{2},z) | ||||||
| (frac{1}{2},z,bar{y}) | (frac{1}{2},z,y) | (frac{1}{2},bar{z},bar{y}) | (frac{1}{2},bar{z},y) | ||||||
| (z,y,frac{1}{2}) | (z,bar{y},frac{1}{2}) | (bar{z},y,frac{1}{2}) | (bar{z},bar{y},frac{1}{2}) | ||||||
| 24 | (k) | (m,.,.) | (0,y,z) | (0,bar{y},z) | (0,y,bar{z}) | (0,bar{y},bar{z}) | |||
| (z,0,y) | (z,0,bar{y}) | (bar{z},0,y) | (bar{z},0,bar{y}) | ||||||
| (y,z,0) | (bar{y},z,0) | (y,bar{z},0) | (bar{y},bar{z},0) | ||||||
| (y,0,bar{z}) | (bar{y},0,bar{z}) | (y,0,z) | (bar{y},0,z) | ||||||
| (0,z,bar{y}) | (0,z,y) | (0,bar{z},bar{y}) | (0,bar{z},y) | ||||||
| (z,y,0) | (z,bar{y},0) | (bar{z},y,0) | (bar{z},bar{y},0) | ||||||
| 12 | (j) | (m,.,m2) | (frac{1}{2},y,y) | (frac{1}{2},bar{y},y) | (frac{1}{2},y,bar{y}) | (frac{1}{2},bar{y},bar{y}) | |||
| (y,frac{1}{2},y) | (y,frac{1}{2},bar{y}) | (bar{y},frac{1}{2},y) | (bar{y},frac{1}{2},bar{y}) | ||||||
| (y,y,frac{1}{2}) | (bar{y},y,frac{1}{2}) | (y,bar{y},frac{1}{2}) | (bar{y},bar{y},frac{1}{2}) | ||||||
| 12 | (i) | (m,.,m2) | (0,y,y) | (0,bar{y},y) | (0,y,bar{y}) | (0,bar{y},bar{y}) | |||
| (y,0,y) | (y,0,bar{y}) | (bar{y},0,y) | (bar{y},0,bar{y}) | ||||||
| (y,y,0) | (bar{y},y,0) | (y,bar{y},0) | (bar{y},bar{y},0) | ||||||
| 12 | (h) | (mm2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | ||||||
| (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (0,frac{1}{2},bar{x}) | (0,frac{1}{2},x) | ||||||
| 8 | (g) | (.,3,m) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x,x,bar{x}) | (bar{x},bar{x},bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| 6 | (f) | (4m,.,m) | (x,frac{1}{2},frac{1}{2}) | (bar{x},frac{1}{2},frac{1}{2}) | (frac{1}{2},x,frac{1}{2}) | (frac{1}{2},bar{x},frac{1}{2}) | |||
| (frac{1}{2},frac{1}{2},x) | (frac{1}{2},frac{1}{2},bar{x}) | ||||||||
| 6 | (e) | (4m,.,m) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 3 | (d) | (4/mm,.,m) | (frac{1}{2},0,0) | (0,frac{1}{2},0) | (0,0,frac{1}{2}) | ||||
| 3 | (c) | (4/mm,.,m) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | ||||
| 1 | (b) | (m,bar{3},m) | (frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| 1 | (a) | (m,bar{3},m) | (0,0,0) | ||||||
| 518 | 222 | (P 4/n bar{3} 2/n) | ((0,0,0)+) | ||||||
| 48 | (i) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y,x,bar{z}) | (bar{y},bar{x},bar{z}) | (y,bar{x},z) | (bar{y},x,z) | ||||||
| (x,z,bar{y}) | (bar{x},z,y) | (bar{x},bar{z},bar{y}) | (x,bar{z},y) | ||||||
| (z,y,bar{x}) | (z,bar{y},x) | (bar{z},y,x) | (bar{z},bar{y},bar{x}) | ||||||
| (bar{x}+frac{1}{2},bar{y}+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},z+frac{1}{2}) | (bar{x}+frac{1}{2},y+frac{1}{2},z+frac{1}{2}) | ||||||
| (bar{z}+frac{1}{2},bar{x}+frac{1}{2},bar{y}+frac{1}{2}) | (bar{z}+frac{1}{2},x+frac{1}{2},y+frac{1}{2}) | (z+frac{1}{2},x+frac{1}{2},bar{y}+frac{1}{2}) | (z+frac{1}{2},bar{x}+frac{1}{2},y+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{2},bar{z}+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},x+frac{1}{2}) | (bar{y}+frac{1}{2},z+frac{1}{2},x+frac{1}{2}) | (y+frac{1}{2},z+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{2},bar{x}+frac{1}{2},z+frac{1}{2}) | (y+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},x+frac{1}{2},bar{z}+frac{1}{2}) | (y+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | ||||||
| (bar{x}+frac{1}{2},bar{z}+frac{1}{2},y+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (x+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (bar{z}+frac{1}{2},bar{y}+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},y+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | ||||||
| 24 | (h) | (.,.,2) | (0,y,y) | (0,bar{y},y) | (0,y,bar{y}) | (0,bar{y},bar{y}) | |||
| (y,0,y) | (y,0,bar{y}) | (bar{y},0,y) | (bar{y},0,bar{y}) | ||||||
| (y,y,0) | (bar{y},y,0) | (y,bar{y},0) | (bar{y},bar{y},0) | ||||||
| (frac{1}{2},bar{y}+frac{1}{2},bar{y}+frac{1}{2}) | (frac{1}{2},y+frac{1}{2},bar{y}+frac{1}{2}) | (frac{1}{2},bar{y}+frac{1}{2},y+frac{1}{2}) | (frac{1}{2},y+frac{1}{2},y+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{2},frac{1}{2},bar{y}+frac{1}{2}) | (bar{y}+frac{1}{2},frac{1}{2},y+frac{1}{2}) | (y+frac{1}{2},frac{1}{2},bar{y}+frac{1}{2}) | (y+frac{1}{2},frac{1}{2},y+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{2},bar{y}+frac{1}{2},frac{1}{2}) | (y+frac{1}{2},bar{y}+frac{1}{2},frac{1}{2}) | (bar{y}+frac{1}{2},y+frac{1}{2},frac{1}{2}) | (y+frac{1}{2},y+frac{1}{2},frac{1}{2}) | ||||||
| 24 | (g) | (2,.,.) | (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | |||
| (0,frac{1}{2},x) | (0,frac{1}{2},bar{x}) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | ||||||
| (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (frac{1}{2},0,bar{x}) | (frac{1}{2},0,x) | ||||||
| (bar{x}+frac{1}{2},frac{1}{2},0) | (x+frac{1}{2},frac{1}{2},0) | (0,bar{x}+frac{1}{2},frac{1}{2}) | (0,x+frac{1}{2},frac{1}{2}) | ||||||
| (frac{1}{2},0,bar{x}+frac{1}{2}) | (frac{1}{2},0,x+frac{1}{2}) | (frac{1}{2},bar{x}+frac{1}{2},0) | (frac{1}{2},x+frac{1}{2},0) | ||||||
| (bar{x}+frac{1}{2},0,frac{1}{2}) | (x+frac{1}{2},0,frac{1}{2}) | (0,frac{1}{2},x+frac{1}{2}) | (0,frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 16 | (f) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x,x,bar{x}) | (bar{x},bar{x},bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| (bar{x}+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | ||||||
| (bar{x}+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (x+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 12 | (e) | (4,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | (bar{x}+frac{1}{2},frac{1}{2},frac{1}{2}) | (x+frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| (frac{1}{2},bar{x}+frac{1}{2},frac{1}{2}) | (frac{1}{2},x+frac{1}{2},frac{1}{2}) | (frac{1}{2},frac{1}{2},bar{x}+frac{1}{2}) | (frac{1}{2},frac{1}{2},x+frac{1}{2}) | ||||||
| 12 | (d) | (bar{4},.,.) | (frac{1}{4},0,frac{1}{2}) | (frac{3}{4},0,frac{1}{2}) | (frac{1}{2},frac{1}{4},0) | (frac{1}{2},frac{3}{4},0) | |||
| (0,frac{1}{2},frac{1}{4}) | (0,frac{1}{2},frac{3}{4}) | (0,frac{1}{4},frac{1}{2}) | (0,frac{3}{4},frac{1}{2}) | ||||||
| (frac{1}{4},frac{1}{2},0) | (frac{3}{4},frac{1}{2},0) | (frac{1}{2},0,frac{3}{4}) | (frac{1}{2},0,frac{1}{4}) | ||||||
| 8 | (c) | (.,bar{3},.) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},frac{3}{4}) | (frac{3}{4},frac{3}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{1}{4}) | ||||||
| 6 | (b) | (42,.,2) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | (frac{1}{2},0,0) | |||
| (0,frac{1}{2},0) | (0,0,frac{1}{2}) | ||||||||
| 2 | (a) | (4,3,2) | (0,0,0) | (frac{1}{2},frac{1}{2},frac{1}{2}) | |||||
| 519 | 222 | (P 4/n bar{3} 2/n) | ((0,0,0)+) | ||||||
| 48 | (i) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y}+frac{1}{2},z) | (bar{x}+frac{1}{2},y,bar{z}+frac{1}{2}) | (x,bar{y}+frac{1}{2},bar{z}+frac{1}{2}) | |||
| (z,x,y) | (z,bar{x}+frac{1}{2},bar{y}+frac{1}{2}) | (bar{z}+frac{1}{2},bar{x}+frac{1}{2},y) | (bar{z}+frac{1}{2},x,bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y}+frac{1}{2},z,bar{x}+frac{1}{2}) | (y,bar{z}+frac{1}{2},bar{x}+frac{1}{2}) | (bar{y}+frac{1}{2},bar{z}+frac{1}{2},x) | ||||||
| (y,x,bar{z}+frac{1}{2}) | (bar{y}+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | (y,bar{x}+frac{1}{2},z) | (bar{y}+frac{1}{2},x,z) | ||||||
| (x,z,bar{y}+frac{1}{2}) | (bar{x}+frac{1}{2},z,y) | (bar{x}+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (x,bar{z}+frac{1}{2},y) | ||||||
| (z,y,bar{x}+frac{1}{2}) | (z,bar{y}+frac{1}{2},x) | (bar{z}+frac{1}{2},y,x) | (bar{z}+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| (bar{x},bar{y},bar{z}) | (x+frac{1}{2},y+frac{1}{2},bar{z}) | (x+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},z+frac{1}{2}) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x+frac{1}{2},y+frac{1}{2}) | (z+frac{1}{2},x+frac{1}{2},bar{y}) | (z+frac{1}{2},bar{x},y+frac{1}{2}) | ||||||
| (bar{y},bar{z},bar{x}) | (y+frac{1}{2},bar{z},x+frac{1}{2}) | (bar{y},z+frac{1}{2},x+frac{1}{2}) | (y+frac{1}{2},z+frac{1}{2},bar{x}) | ||||||
| (bar{y},bar{x},z+frac{1}{2}) | (y+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | (bar{y},x+frac{1}{2},bar{z}) | (y+frac{1}{2},bar{x},bar{z}) | ||||||
| (bar{x},bar{z},y+frac{1}{2}) | (x+frac{1}{2},bar{z},bar{y}) | (x+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x},z+frac{1}{2},bar{y}) | ||||||
| (bar{z},bar{y},x+frac{1}{2}) | (bar{z},y+frac{1}{2},bar{x}) | (z+frac{1}{2},bar{y},bar{x}) | (z+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | ||||||
| 24 | (h) | (.,.,2) | (frac{1}{4},y,y) | (frac{1}{4},bar{y}+frac{1}{2},y) | (frac{1}{4},y,bar{y}+frac{1}{2}) | (frac{1}{4},bar{y}+frac{1}{2},bar{y}+frac{1}{2}) | |||
| (y,frac{1}{4},y) | (y,frac{1}{4},bar{y}+frac{1}{2}) | (bar{y}+frac{1}{2},frac{1}{4},y) | (bar{y}+frac{1}{2},frac{1}{4},bar{y}+frac{1}{2}) | ||||||
| (y,y,frac{1}{4}) | (bar{y}+frac{1}{2},y,frac{1}{4}) | (y,bar{y}+frac{1}{2},frac{1}{4}) | (bar{y}+frac{1}{2},bar{y}+frac{1}{2},frac{1}{4}) | ||||||
| (frac{3}{4},bar{y},bar{y}) | (frac{3}{4},y+frac{1}{2},bar{y}) | (frac{3}{4},bar{y},y+frac{1}{2}) | (frac{3}{4},y+frac{1}{2},y+frac{1}{2}) | ||||||
| (bar{y},frac{3}{4},bar{y}) | (bar{y},frac{3}{4},y+frac{1}{2}) | (y+frac{1}{2},frac{3}{4},bar{y}) | (y+frac{1}{2},frac{3}{4},y+frac{1}{2}) | ||||||
| (bar{y},bar{y},frac{3}{4}) | (y+frac{1}{2},bar{y},frac{3}{4}) | (bar{y},y+frac{1}{2},frac{3}{4}) | (y+frac{1}{2},y+frac{1}{2},frac{3}{4}) | ||||||
| 24 | (g) | (2,.,.) | (x,frac{3}{4},frac{1}{4}) | (bar{x}+frac{1}{2},frac{3}{4},frac{1}{4}) | (frac{1}{4},x,frac{3}{4}) | (frac{1}{4},bar{x}+frac{1}{2},frac{3}{4}) | |||
| (frac{3}{4},frac{1}{4},x) | (frac{3}{4},frac{1}{4},bar{x}+frac{1}{2}) | (frac{3}{4},x,frac{1}{4}) | (frac{3}{4},bar{x}+frac{1}{2},frac{1}{4}) | ||||||
| (x,frac{1}{4},frac{3}{4}) | (bar{x}+frac{1}{2},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},bar{x}+frac{1}{2}) | (frac{1}{4},frac{3}{4},x) | ||||||
| (bar{x},frac{1}{4},frac{3}{4}) | (x+frac{1}{2},frac{1}{4},frac{3}{4}) | (frac{3}{4},bar{x},frac{1}{4}) | (frac{3}{4},x+frac{1}{2},frac{1}{4}) | ||||||
| (frac{1}{4},frac{3}{4},bar{x}) | (frac{1}{4},frac{3}{4},x+frac{1}{2}) | (frac{1}{4},bar{x},frac{3}{4}) | (frac{1}{4},x+frac{1}{2},frac{3}{4}) | ||||||
| (bar{x},frac{3}{4},frac{1}{4}) | (x+frac{1}{2},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},x+frac{1}{2}) | (frac{3}{4},frac{1}{4},bar{x}) | ||||||
| 16 | (f) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},x) | (bar{x}+frac{1}{2},x,bar{x}+frac{1}{2}) | (x,bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | |||
| (x,x,bar{x}+frac{1}{2}) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | (x,bar{x}+frac{1}{2},x) | (bar{x}+frac{1}{2},x,x) | ||||||
| (bar{x},bar{x},bar{x}) | (x+frac{1}{2},x+frac{1}{2},bar{x}) | (x+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},x+frac{1}{2}) | ||||||
| (bar{x},bar{x},x+frac{1}{2}) | (x+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | (bar{x},x+frac{1}{2},bar{x}) | (x+frac{1}{2},bar{x},bar{x}) | ||||||
| 12 | (e) | (4,.,.) | (x,frac{1}{4},frac{1}{4}) | (bar{x}+frac{1}{2},frac{1}{4},frac{1}{4}) | (frac{1}{4},x,frac{1}{4}) | (frac{1}{4},bar{x}+frac{1}{2},frac{1}{4}) | |||
| (frac{1}{4},frac{1}{4},x) | (frac{1}{4},frac{1}{4},bar{x}+frac{1}{2}) | (bar{x},frac{3}{4},frac{3}{4}) | (x+frac{1}{2},frac{3}{4},frac{3}{4}) | ||||||
| (frac{3}{4},bar{x},frac{3}{4}) | (frac{3}{4},x+frac{1}{2},frac{3}{4}) | (frac{3}{4},frac{3}{4},bar{x}) | (frac{3}{4},frac{3}{4},x+frac{1}{2}) | ||||||
| 12 | (d) | (bar{4},.,.) | (0,frac{3}{4},frac{1}{4}) | (frac{1}{2},frac{3}{4},frac{1}{4}) | (frac{1}{4},0,frac{3}{4}) | (frac{1}{4},frac{1}{2},frac{3}{4}) | |||
| (frac{3}{4},frac{1}{4},0) | (frac{3}{4},frac{1}{4},frac{1}{2}) | (frac{3}{4},0,frac{1}{4}) | (frac{3}{4},frac{1}{2},frac{1}{4}) | ||||||
| (0,frac{1}{4},frac{3}{4}) | (frac{1}{2},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{1}{2}) | (frac{1}{4},frac{3}{4},0) | ||||||
| 8 | (c) | (.,bar{3},.) | (0,0,0) | (frac{1}{2},frac{1}{2},0) | (frac{1}{2},0,frac{1}{2}) | (0,frac{1}{2},frac{1}{2}) | |||
| (0,0,frac{1}{2}) | (frac{1}{2},frac{1}{2},frac{1}{2}) | (0,frac{1}{2},0) | (frac{1}{2},0,0) | ||||||
| 6 | (b) | (42,.,2) | (frac{3}{4},frac{1}{4},frac{1}{4}) | (frac{1}{4},frac{3}{4},frac{1}{4}) | (frac{1}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{3}{4}) | |||
| (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | ||||||||
| 2 | (a) | (4,3,2) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{3}{4}) | |||||
| 520 | 223 | (P 4_2/m bar{3} 2/n) | ((0,0,0)+) | ||||||
| 48 | (l) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y+frac{1}{2},x+frac{1}{2},bar{z}+frac{1}{2}) | (bar{y}+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | (y+frac{1}{2},bar{x}+frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | ||||||
| (x+frac{1}{2},z+frac{1}{2},bar{y}+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x}+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{2},y+frac{1}{2}) | ||||||
| (z+frac{1}{2},y+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| (bar{x},bar{y},bar{z}) | (x,y,bar{z}) | (x,bar{y},z) | (bar{x},y,z) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x,y) | (z,x,bar{y}) | (z,bar{x},y) | ||||||
| (bar{y},bar{z},bar{x}) | (y,bar{z},x) | (bar{y},z,x) | (y,z,bar{x}) | ||||||
| (bar{y}+frac{1}{2},bar{x}+frac{1}{2},z+frac{1}{2}) | (y+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},x+frac{1}{2},bar{z}+frac{1}{2}) | (y+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | ||||||
| (bar{x}+frac{1}{2},bar{z}+frac{1}{2},y+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (x+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (bar{z}+frac{1}{2},bar{y}+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},y+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | ||||||
| 24 | (k) | (m,.,.) | (0,y,z) | (0,bar{y},z) | (0,y,bar{z}) | (0,bar{y},bar{z}) | |||
| (z,0,y) | (z,0,bar{y}) | (bar{z},0,y) | (bar{z},0,bar{y}) | ||||||
| (y,z,0) | (bar{y},z,0) | (y,bar{z},0) | (bar{y},bar{z},0) | ||||||
| (y+frac{1}{2},frac{1}{2},bar{z}+frac{1}{2}) | (bar{y}+frac{1}{2},frac{1}{2},bar{z}+frac{1}{2}) | (y+frac{1}{2},frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},frac{1}{2},z+frac{1}{2}) | ||||||
| (frac{1}{2},z+frac{1}{2},bar{y}+frac{1}{2}) | (frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (frac{1}{2},bar{z}+frac{1}{2},y+frac{1}{2}) | ||||||
| (z+frac{1}{2},y+frac{1}{2},frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},frac{1}{2}) | (bar{z}+frac{1}{2},y+frac{1}{2},frac{1}{2}) | (bar{z}+frac{1}{2},bar{y}+frac{1}{2},frac{1}{2}) | ||||||
| 24 | (j) | (.,.,2) | (frac{1}{4},y,y+frac{1}{2}) | (frac{3}{4},bar{y},y+frac{1}{2}) | (frac{3}{4},y,bar{y}+frac{1}{2}) | (frac{1}{4},bar{y},bar{y}+frac{1}{2}) | |||
| (y+frac{1}{2},frac{1}{4},y) | (y+frac{1}{2},frac{3}{4},bar{y}) | (bar{y}+frac{1}{2},frac{3}{4},y) | (bar{y}+frac{1}{2},frac{1}{4},bar{y}) | ||||||
| (y,y+frac{1}{2},frac{1}{4}) | (bar{y},y+frac{1}{2},frac{3}{4}) | (y,bar{y}+frac{1}{2},frac{3}{4}) | (bar{y},bar{y}+frac{1}{2},frac{1}{4}) | ||||||
| (frac{3}{4},bar{y},bar{y}+frac{1}{2}) | (frac{1}{4},y,bar{y}+frac{1}{2}) | (frac{1}{4},bar{y},y+frac{1}{2}) | (frac{3}{4},y,y+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{2},frac{3}{4},bar{y}) | (bar{y}+frac{1}{2},frac{1}{4},y) | (y+frac{1}{2},frac{1}{4},bar{y}) | (y+frac{1}{2},frac{3}{4},y) | ||||||
| (bar{y},bar{y}+frac{1}{2},frac{3}{4}) | (y,bar{y}+frac{1}{2},frac{1}{4}) | (bar{y},y+frac{1}{2},frac{1}{4}) | (y,y+frac{1}{2},frac{3}{4}) | ||||||
| 16 | (i) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | ||||||
| (bar{x},bar{x},bar{x}) | (x,x,bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| (bar{x}+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (x+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 12 | (h) | (mm2,.,.) | (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | |||
| (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | (0,x+frac{1}{2},frac{1}{2}) | (0,bar{x}+frac{1}{2},frac{1}{2}) | ||||||
| (x+frac{1}{2},frac{1}{2},0) | (bar{x}+frac{1}{2},frac{1}{2},0) | (frac{1}{2},0,bar{x}+frac{1}{2}) | (frac{1}{2},0,x+frac{1}{2}) | ||||||
| 12 | (g) | (mm2,.,.) | (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | |||
| (0,frac{1}{2},x) | (0,frac{1}{2},bar{x}) | (frac{1}{2},x+frac{1}{2},0) | (frac{1}{2},bar{x}+frac{1}{2},0) | ||||||
| (x+frac{1}{2},0,frac{1}{2}) | (bar{x}+frac{1}{2},0,frac{1}{2}) | (0,frac{1}{2},bar{x}+frac{1}{2}) | (0,frac{1}{2},x+frac{1}{2}) | ||||||
| 12 | (f) | (mm2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | (frac{1}{2},x+frac{1}{2},frac{1}{2}) | (frac{1}{2},bar{x}+frac{1}{2},frac{1}{2}) | ||||||
| (x+frac{1}{2},frac{1}{2},frac{1}{2}) | (bar{x}+frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{1}{2},frac{1}{2},bar{x}+frac{1}{2}) | (frac{1}{2},frac{1}{2},x+frac{1}{2}) | ||||||
| 8 | (e) | (.,3,2) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{3}{4}) | |||
| (frac{3}{4},frac{3}{4},frac{3}{4}) | (frac{1}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{1}{4}) | ||||||
| 6 | (d) | (bar{4}m,.,2) | (frac{1}{4},frac{1}{2},0) | (frac{3}{4},frac{1}{2},0) | (0,frac{1}{4},frac{1}{2}) | (0,frac{3}{4},frac{1}{2}) | |||
| (frac{1}{2},0,frac{1}{4}) | (frac{1}{2},0,frac{3}{4}) | ||||||||
| 6 | (c) | (bar{4}m,.,2) | (frac{1}{4},0,frac{1}{2}) | (frac{3}{4},0,frac{1}{2}) | (frac{1}{2},frac{1}{4},0) | (frac{1}{2},frac{3}{4},0) | |||
| (0,frac{1}{2},frac{1}{4}) | (0,frac{1}{2},frac{3}{4}) | ||||||||
| 6 | (b) | (mmm,.,.) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | (0,frac{1}{2},0) | |||
| (frac{1}{2},0,0) | (0,0,frac{1}{2}) | ||||||||
| 2 | (a) | (m,bar{3},.) | (0,0,0) | (frac{1}{2},frac{1}{2},frac{1}{2}) | |||||
| 521 | 224 | (P 4_2/n bar{3} 2/m) | ((0,0,0)+) | ||||||
| 48 | (l) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y+frac{1}{2},x+frac{1}{2},bar{z}+frac{1}{2}) | (bar{y}+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | (y+frac{1}{2},bar{x}+frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | ||||||
| (x+frac{1}{2},z+frac{1}{2},bar{y}+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x}+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{2},y+frac{1}{2}) | ||||||
| (z+frac{1}{2},y+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| (bar{x}+frac{1}{2},bar{y}+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},z+frac{1}{2}) | (bar{x}+frac{1}{2},y+frac{1}{2},z+frac{1}{2}) | ||||||
| (bar{z}+frac{1}{2},bar{x}+frac{1}{2},bar{y}+frac{1}{2}) | (bar{z}+frac{1}{2},x+frac{1}{2},y+frac{1}{2}) | (z+frac{1}{2},x+frac{1}{2},bar{y}+frac{1}{2}) | (z+frac{1}{2},bar{x}+frac{1}{2},y+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{2},bar{z}+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},x+frac{1}{2}) | (bar{y}+frac{1}{2},z+frac{1}{2},x+frac{1}{2}) | (y+frac{1}{2},z+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| (bar{y},bar{x},z) | (y,x,z) | (bar{y},x,bar{z}) | (y,bar{x},bar{z}) | ||||||
| (bar{x},bar{z},y) | (x,bar{z},bar{y}) | (x,z,y) | (bar{x},z,bar{y}) | ||||||
| (bar{z},bar{y},x) | (bar{z},y,bar{x}) | (z,bar{y},bar{x}) | (z,y,x) | ||||||
| 24 | (k) | (.,.,m) | (x,x,z) | (bar{x},bar{x},z) | (bar{x},x,bar{z}) | (x,bar{x},bar{z}) | |||
| (z,x,x) | (z,bar{x},bar{x}) | (bar{z},bar{x},x) | (bar{z},x,bar{x}) | ||||||
| (x,z,x) | (bar{x},z,bar{x}) | (x,bar{z},bar{x}) | (bar{x},bar{z},x) | ||||||
| (x+frac{1}{2},x+frac{1}{2},bar{z}+frac{1}{2}) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},z+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | ||||||
| (x+frac{1}{2},z+frac{1}{2},bar{x}+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},bar{z}+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{2},x+frac{1}{2}) | ||||||
| (z+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 24 | (j) | (.,.,2) | (frac{1}{4},y,y+frac{1}{2}) | (frac{3}{4},bar{y},y+frac{1}{2}) | (frac{3}{4},y,bar{y}+frac{1}{2}) | (frac{1}{4},bar{y},bar{y}+frac{1}{2}) | |||
| (y+frac{1}{2},frac{1}{4},y) | (y+frac{1}{2},frac{3}{4},bar{y}) | (bar{y}+frac{1}{2},frac{3}{4},y) | (bar{y}+frac{1}{2},frac{1}{4},bar{y}) | ||||||
| (y,y+frac{1}{2},frac{1}{4}) | (bar{y},y+frac{1}{2},frac{3}{4}) | (y,bar{y}+frac{1}{2},frac{3}{4}) | (bar{y},bar{y}+frac{1}{2},frac{1}{4}) | ||||||
| (frac{1}{4},bar{y}+frac{1}{2},bar{y}) | (frac{3}{4},y+frac{1}{2},bar{y}) | (frac{3}{4},bar{y}+frac{1}{2},y) | (frac{1}{4},y+frac{1}{2},y) | ||||||
| (bar{y},frac{1}{4},bar{y}+frac{1}{2}) | (bar{y},frac{3}{4},y+frac{1}{2}) | (y,frac{3}{4},bar{y}+frac{1}{2}) | (y,frac{1}{4},y+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{2},bar{y},frac{1}{4}) | (y+frac{1}{2},bar{y},frac{3}{4}) | (bar{y}+frac{1}{2},y,frac{3}{4}) | (y+frac{1}{2},y,frac{1}{4}) | ||||||
| 24 | (i) | (.,.,2) | (frac{1}{4},y,bar{y}+frac{1}{2}) | (frac{3}{4},bar{y},bar{y}+frac{1}{2}) | (frac{3}{4},y,y+frac{1}{2}) | (frac{1}{4},bar{y},y+frac{1}{2}) | |||
| (bar{y}+frac{1}{2},frac{1}{4},y) | (bar{y}+frac{1}{2},frac{3}{4},bar{y}) | (y+frac{1}{2},frac{3}{4},y) | (y+frac{1}{2},frac{1}{4},bar{y}) | ||||||
| (y,bar{y}+frac{1}{2},frac{1}{4}) | (bar{y},bar{y}+frac{1}{2},frac{3}{4}) | (y,y+frac{1}{2},frac{3}{4}) | (bar{y},y+frac{1}{2},frac{1}{4}) | ||||||
| (frac{1}{4},bar{y}+frac{1}{2},y) | (frac{3}{4},y+frac{1}{2},y) | (frac{3}{4},bar{y}+frac{1}{2},bar{y}) | (frac{1}{4},y+frac{1}{2},bar{y}) | ||||||
| (y,frac{1}{4},bar{y}+frac{1}{2}) | (y,frac{3}{4},y+frac{1}{2}) | (bar{y},frac{3}{4},bar{y}+frac{1}{2}) | (bar{y},frac{1}{4},y+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{2},y,frac{1}{4}) | (y+frac{1}{2},y,frac{3}{4}) | (bar{y}+frac{1}{2},bar{y},frac{3}{4}) | (y+frac{1}{2},bar{y},frac{1}{4}) | ||||||
| 24 | (h) | (2,.,.) | (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | |||
| (0,frac{1}{2},x) | (0,frac{1}{2},bar{x}) | (frac{1}{2},x+frac{1}{2},0) | (frac{1}{2},bar{x}+frac{1}{2},0) | ||||||
| (x+frac{1}{2},0,frac{1}{2}) | (bar{x}+frac{1}{2},0,frac{1}{2}) | (0,frac{1}{2},bar{x}+frac{1}{2}) | (0,frac{1}{2},x+frac{1}{2}) | ||||||
| (bar{x}+frac{1}{2},frac{1}{2},0) | (x+frac{1}{2},frac{1}{2},0) | (0,bar{x}+frac{1}{2},frac{1}{2}) | (0,x+frac{1}{2},frac{1}{2}) | ||||||
| (frac{1}{2},0,bar{x}+frac{1}{2}) | (frac{1}{2},0,x+frac{1}{2}) | (0,bar{x},frac{1}{2}) | (0,x,frac{1}{2}) | ||||||
| (bar{x},frac{1}{2},0) | (x,frac{1}{2},0) | (frac{1}{2},0,x) | (frac{1}{2},0,bar{x}) | ||||||
| 12 | (g) | (2,.,mm) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | (frac{1}{2},x+frac{1}{2},frac{1}{2}) | (frac{1}{2},bar{x}+frac{1}{2},frac{1}{2}) | ||||||
| (x+frac{1}{2},frac{1}{2},frac{1}{2}) | (bar{x}+frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{1}{2},frac{1}{2},bar{x}+frac{1}{2}) | (frac{1}{2},frac{1}{2},x+frac{1}{2}) | ||||||
| 12 | (f) | (2,.,22) | (frac{1}{4},0,frac{1}{2}) | (frac{3}{4},0,frac{1}{2}) | (frac{1}{2},frac{1}{4},0) | (frac{1}{2},frac{3}{4},0) | |||
| (0,frac{1}{2},frac{1}{4}) | (0,frac{1}{2},frac{3}{4}) | (frac{1}{4},frac{1}{2},0) | (frac{3}{4},frac{1}{2},0) | ||||||
| (0,frac{1}{4},frac{1}{2}) | (0,frac{3}{4},frac{1}{2}) | (frac{1}{2},0,frac{1}{4}) | (frac{1}{2},0,frac{3}{4}) | ||||||
| 8 | (e) | (.,3,m) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | ||||||
| 6 | (d) | (bar{4}2,.,m) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | (0,frac{1}{2},0) | |||
| (frac{1}{2},0,0) | (0,0,frac{1}{2}) | ||||||||
| 4 | (c) | (.,bar{3},m) | (frac{3}{4},frac{3}{4},frac{3}{4}) | (frac{1}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{1}{4}) | |||
| 4 | (b) | (.,bar{3},m) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{3}{4}) | |||
| 2 | (a) | (bar{4},3,m) | (0,0,0) | (frac{1}{2},frac{1}{2},frac{1}{2}) | |||||
| 522 | 224 | (P 4_2/n bar{3} 2/m) | ((0,0,0)+) | ||||||
| 48 | (l) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y}+frac{1}{2},z) | (bar{x}+frac{1}{2},y,bar{z}+frac{1}{2}) | (x,bar{y}+frac{1}{2},bar{z}+frac{1}{2}) | |||
| (z,x,y) | (z,bar{x}+frac{1}{2},bar{y}+frac{1}{2}) | (bar{z}+frac{1}{2},bar{x}+frac{1}{2},y) | (bar{z}+frac{1}{2},x,bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y}+frac{1}{2},z,bar{x}+frac{1}{2}) | (y,bar{z}+frac{1}{2},bar{x}+frac{1}{2}) | (bar{y}+frac{1}{2},bar{z}+frac{1}{2},x) | ||||||
| (y+frac{1}{2},x+frac{1}{2},bar{z}) | (bar{y},bar{x},bar{z}) | (y+frac{1}{2},bar{x},z+frac{1}{2}) | (bar{y},x+frac{1}{2},z+frac{1}{2}) | ||||||
| (x+frac{1}{2},z+frac{1}{2},bar{y}) | (bar{x},z+frac{1}{2},y+frac{1}{2}) | (bar{x},bar{z},bar{y}) | (x+frac{1}{2},bar{z},y+frac{1}{2}) | ||||||
| (z+frac{1}{2},y+frac{1}{2},bar{x}) | (z+frac{1}{2},bar{y},x+frac{1}{2}) | (bar{z},y+frac{1}{2},x+frac{1}{2}) | (bar{z},bar{y},bar{x}) | ||||||
| (bar{x},bar{y},bar{z}) | (x+frac{1}{2},y+frac{1}{2},bar{z}) | (x+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},z+frac{1}{2}) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x+frac{1}{2},y+frac{1}{2}) | (z+frac{1}{2},x+frac{1}{2},bar{y}) | (z+frac{1}{2},bar{x},y+frac{1}{2}) | ||||||
| (bar{y},bar{z},bar{x}) | (y+frac{1}{2},bar{z},x+frac{1}{2}) | (bar{y},z+frac{1}{2},x+frac{1}{2}) | (y+frac{1}{2},z+frac{1}{2},bar{x}) | ||||||
| (bar{y}+frac{1}{2},bar{x}+frac{1}{2},z) | (y,x,z) | (bar{y}+frac{1}{2},x,bar{z}+frac{1}{2}) | (y,bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | ||||||
| (bar{x}+frac{1}{2},bar{z}+frac{1}{2},y) | (x,bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (x,z,y) | (bar{x}+frac{1}{2},z,bar{y}+frac{1}{2}) | ||||||
| (bar{z}+frac{1}{2},bar{y}+frac{1}{2},x) | (bar{z}+frac{1}{2},y,bar{x}+frac{1}{2}) | (z,bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | (z,y,x) | ||||||
| 24 | (k) | (.,.,m) | (x,x,z) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},z) | (bar{x}+frac{1}{2},x,bar{z}+frac{1}{2}) | (x,bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | |||
| (z,x,x) | (z,bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | (bar{z}+frac{1}{2},bar{x}+frac{1}{2},x) | (bar{z}+frac{1}{2},x,bar{x}+frac{1}{2}) | ||||||
| (x,z,x) | (bar{x}+frac{1}{2},z,bar{x}+frac{1}{2}) | (x,bar{z}+frac{1}{2},bar{x}+frac{1}{2}) | (bar{x}+frac{1}{2},bar{z}+frac{1}{2},x) | ||||||
| (x+frac{1}{2},x+frac{1}{2},bar{z}) | (bar{x},bar{x},bar{z}) | (x+frac{1}{2},bar{x},z+frac{1}{2}) | (bar{x},x+frac{1}{2},z+frac{1}{2}) | ||||||
| (x+frac{1}{2},z+frac{1}{2},bar{x}) | (bar{x},z+frac{1}{2},x+frac{1}{2}) | (bar{x},bar{z},bar{x}) | (x+frac{1}{2},bar{z},x+frac{1}{2}) | ||||||
| (z+frac{1}{2},x+frac{1}{2},bar{x}) | (z+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{z},x+frac{1}{2},x+frac{1}{2}) | (bar{z},bar{x},bar{x}) | ||||||
| 24 | (j) | (.,.,2) | (frac{1}{2},y,bar{y}) | (0,bar{y}+frac{1}{2},bar{y}) | (0,y,y+frac{1}{2}) | (frac{1}{2},bar{y}+frac{1}{2},y+frac{1}{2}) | |||
| (bar{y},frac{1}{2},y) | (bar{y},0,bar{y}+frac{1}{2}) | (y+frac{1}{2},0,y) | (y+frac{1}{2},frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,bar{y},frac{1}{2}) | (bar{y}+frac{1}{2},bar{y},0) | (y,y+frac{1}{2},0) | (bar{y}+frac{1}{2},y+frac{1}{2},frac{1}{2}) | ||||||
| (frac{1}{2},bar{y},y) | (0,y+frac{1}{2},y) | (0,bar{y},bar{y}+frac{1}{2}) | (frac{1}{2},y+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,frac{1}{2},bar{y}) | (y,0,y+frac{1}{2}) | (bar{y}+frac{1}{2},0,bar{y}) | (bar{y}+frac{1}{2},frac{1}{2},y+frac{1}{2}) | ||||||
| (bar{y},y,frac{1}{2}) | (y+frac{1}{2},y,0) | (bar{y},bar{y}+frac{1}{2},0) | (y+frac{1}{2},bar{y}+frac{1}{2},frac{1}{2}) | ||||||
| 24 | (i) | (.,.,2) | (frac{1}{2},y,y+frac{1}{2}) | (0,bar{y}+frac{1}{2},y+frac{1}{2}) | (0,y,bar{y}) | (frac{1}{2},bar{y}+frac{1}{2},bar{y}) | |||
| (y+frac{1}{2},frac{1}{2},y) | (y+frac{1}{2},0,bar{y}+frac{1}{2}) | (bar{y},0,y) | (bar{y},frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,y+frac{1}{2},frac{1}{2}) | (bar{y}+frac{1}{2},y+frac{1}{2},0) | (y,bar{y},0) | (bar{y}+frac{1}{2},bar{y},frac{1}{2}) | ||||||
| (frac{1}{2},bar{y},bar{y}+frac{1}{2}) | (0,y+frac{1}{2},bar{y}+frac{1}{2}) | (0,bar{y},y) | (frac{1}{2},y+frac{1}{2},y) | ||||||
| (bar{y}+frac{1}{2},frac{1}{2},bar{y}) | (bar{y}+frac{1}{2},0,y+frac{1}{2}) | (y,0,bar{y}) | (y,frac{1}{2},y+frac{1}{2}) | ||||||
| (bar{y},bar{y}+frac{1}{2},frac{1}{2}) | (y+frac{1}{2},bar{y}+frac{1}{2},0) | (bar{y},y,0) | (y+frac{1}{2},y,frac{1}{2}) | ||||||
| 24 | (h) | (2,.,.) | (x,frac{1}{4},frac{3}{4}) | (bar{x}+frac{1}{2},frac{1}{4},frac{3}{4}) | (frac{3}{4},x,frac{1}{4}) | (frac{3}{4},bar{x}+frac{1}{2},frac{1}{4}) | |||
| (frac{1}{4},frac{3}{4},x) | (frac{1}{4},frac{3}{4},bar{x}+frac{1}{2}) | (frac{3}{4},x+frac{1}{2},frac{1}{4}) | (frac{3}{4},bar{x},frac{1}{4}) | ||||||
| (x+frac{1}{2},frac{1}{4},frac{3}{4}) | (bar{x},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},bar{x}) | (frac{1}{4},frac{3}{4},x+frac{1}{2}) | ||||||
| (bar{x},frac{3}{4},frac{1}{4}) | (x+frac{1}{2},frac{3}{4},frac{1}{4}) | (frac{1}{4},bar{x},frac{3}{4}) | (frac{1}{4},x+frac{1}{2},frac{3}{4}) | ||||||
| (frac{3}{4},frac{1}{4},bar{x}) | (frac{3}{4},frac{1}{4},x+frac{1}{2}) | (frac{1}{4},bar{x}+frac{1}{2},frac{3}{4}) | (frac{1}{4},x,frac{3}{4}) | ||||||
| (bar{x}+frac{1}{2},frac{3}{4},frac{1}{4}) | (x,frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},x) | (frac{3}{4},frac{1}{4},bar{x}+frac{1}{2}) | ||||||
| 12 | (g) | (2,.,mm) | (x,frac{1}{4},frac{1}{4}) | (bar{x}+frac{1}{2},frac{1}{4},frac{1}{4}) | (frac{1}{4},x,frac{1}{4}) | (frac{1}{4},bar{x}+frac{1}{2},frac{1}{4}) | |||
| (frac{1}{4},frac{1}{4},x) | (frac{1}{4},frac{1}{4},bar{x}+frac{1}{2}) | (frac{3}{4},x+frac{1}{2},frac{3}{4}) | (frac{3}{4},bar{x},frac{3}{4}) | ||||||
| (x+frac{1}{2},frac{3}{4},frac{3}{4}) | (bar{x},frac{3}{4},frac{3}{4}) | (frac{3}{4},frac{3}{4},bar{x}) | (frac{3}{4},frac{3}{4},x+frac{1}{2}) | ||||||
| 12 | (f) | (2,.,22) | (frac{1}{2},frac{1}{4},frac{3}{4}) | (0,frac{1}{4},frac{3}{4}) | (frac{3}{4},frac{1}{2},frac{1}{4}) | (frac{3}{4},0,frac{1}{4}) | |||
| (frac{1}{4},frac{3}{4},frac{1}{2}) | (frac{1}{4},frac{3}{4},0) | (frac{1}{2},frac{3}{4},frac{1}{4}) | (0,frac{3}{4},frac{1}{4}) | ||||||
| (frac{1}{4},frac{1}{2},frac{3}{4}) | (frac{1}{4},0,frac{3}{4}) | (frac{3}{4},frac{1}{4},frac{1}{2}) | (frac{3}{4},frac{1}{4},0) | ||||||
| 8 | (e) | (.,3,m) | (x,x,x) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},x) | (bar{x}+frac{1}{2},x,bar{x}+frac{1}{2}) | (x,bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | |||
| (x+frac{1}{2},x+frac{1}{2},bar{x}) | (bar{x},bar{x},bar{x}) | (x+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},x+frac{1}{2}) | ||||||
| 6 | (d) | (bar{4}2,.,m) | (frac{1}{4},frac{3}{4},frac{3}{4}) | (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{1}{4},frac{3}{4},frac{1}{4}) | |||
| (frac{3}{4},frac{1}{4},frac{1}{4}) | (frac{1}{4},frac{1}{4},frac{3}{4}) | ||||||||
| 4 | (c) | (.,bar{3},m) | (frac{1}{2},frac{1}{2},frac{1}{2}) | (0,0,frac{1}{2}) | (0,frac{1}{2},0) | (frac{1}{2},0,0) | |||
| 4 | (b) | (.,bar{3},m) | (0,0,0) | (frac{1}{2},frac{1}{2},0) | (frac{1}{2},0,frac{1}{2}) | (0,frac{1}{2},frac{1}{2}) | |||
| 2 | (a) | (bar{4},3,m) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{3}{4}) | |||||
| 523 | 225 | (F 4/m bar{3} 2/m) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 192 | (l) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y,x,bar{z}) | (bar{y},bar{x},bar{z}) | (y,bar{x},z) | (bar{y},x,z) | ||||||
| (x,z,bar{y}) | (bar{x},z,y) | (bar{x},bar{z},bar{y}) | (x,bar{z},y) | ||||||
| (z,y,bar{x}) | (z,bar{y},x) | (bar{z},y,x) | (bar{z},bar{y},bar{x}) | ||||||
| (bar{x},bar{y},bar{z}) | (x,y,bar{z}) | (x,bar{y},z) | (bar{x},y,z) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x,y) | (z,x,bar{y}) | (z,bar{x},y) | ||||||
| (bar{y},bar{z},bar{x}) | (y,bar{z},x) | (bar{y},z,x) | (y,z,bar{x}) | ||||||
| (bar{y},bar{x},z) | (y,x,z) | (bar{y},x,bar{z}) | (y,bar{x},bar{z}) | ||||||
| (bar{x},bar{z},y) | (x,bar{z},bar{y}) | (x,z,y) | (bar{x},z,bar{y}) | ||||||
| (bar{z},bar{y},x) | (bar{z},y,bar{x}) | (z,bar{y},bar{x}) | (z,y,x) | ||||||
| 96 | (k) | (.,.,m) | (x,x,z) | (bar{x},bar{x},z) | (bar{x},x,bar{z}) | (x,bar{x},bar{z}) | |||
| (z,x,x) | (z,bar{x},bar{x}) | (bar{z},bar{x},x) | (bar{z},x,bar{x}) | ||||||
| (x,z,x) | (bar{x},z,bar{x}) | (x,bar{z},bar{x}) | (bar{x},bar{z},x) | ||||||
| (x,x,bar{z}) | (bar{x},bar{x},bar{z}) | (x,bar{x},z) | (bar{x},x,z) | ||||||
| (x,z,bar{x}) | (bar{x},z,x) | (bar{x},bar{z},bar{x}) | (x,bar{z},x) | ||||||
| (z,x,bar{x}) | (z,bar{x},x) | (bar{z},x,x) | (bar{z},bar{x},bar{x}) | ||||||
| 96 | (j) | (m,.,.) | (0,y,z) | (0,bar{y},z) | (0,y,bar{z}) | (0,bar{y},bar{z}) | |||
| (z,0,y) | (z,0,bar{y}) | (bar{z},0,y) | (bar{z},0,bar{y}) | ||||||
| (y,z,0) | (bar{y},z,0) | (y,bar{z},0) | (bar{y},bar{z},0) | ||||||
| (y,0,bar{z}) | (bar{y},0,bar{z}) | (y,0,z) | (bar{y},0,z) | ||||||
| (0,z,bar{y}) | (0,z,y) | (0,bar{z},bar{y}) | (0,bar{z},y) | ||||||
| (z,y,0) | (z,bar{y},0) | (bar{z},y,0) | (bar{z},bar{y},0) | ||||||
| 48 | (i) | (m,.,m2) | (frac{1}{2},y,y) | (frac{1}{2},bar{y},y) | (frac{1}{2},y,bar{y}) | (frac{1}{2},bar{y},bar{y}) | |||
| (y,frac{1}{2},y) | (y,frac{1}{2},bar{y}) | (bar{y},frac{1}{2},y) | (bar{y},frac{1}{2},bar{y}) | ||||||
| (y,y,frac{1}{2}) | (bar{y},y,frac{1}{2}) | (y,bar{y},frac{1}{2}) | (bar{y},bar{y},frac{1}{2}) | ||||||
| 48 | (h) | (m,.,m2) | (0,y,y) | (0,bar{y},y) | (0,y,bar{y}) | (0,bar{y},bar{y}) | |||
| (y,0,y) | (y,0,bar{y}) | (bar{y},0,y) | (bar{y},0,bar{y}) | ||||||
| (y,y,0) | (bar{y},y,0) | (y,bar{y},0) | (bar{y},bar{y},0) | ||||||
| 48 | (g) | (2,.,mm) | (x,frac{1}{4},frac{1}{4}) | (bar{x},frac{3}{4},frac{1}{4}) | (frac{1}{4},x,frac{1}{4}) | (frac{1}{4},bar{x},frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},x) | (frac{3}{4},frac{1}{4},bar{x}) | (frac{1}{4},x,frac{3}{4}) | (frac{3}{4},bar{x},frac{3}{4}) | ||||||
| (x,frac{1}{4},frac{3}{4}) | (bar{x},frac{1}{4},frac{1}{4}) | (frac{1}{4},frac{1}{4},bar{x}) | (frac{1}{4},frac{3}{4},x) | ||||||
| 32 | (f) | (.,3,m) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x,x,bar{x}) | (bar{x},bar{x},bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| 24 | (e) | (4m,.,m) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 24 | (d) | (m,.,mm) | (0,frac{1}{4},frac{1}{4}) | (0,frac{3}{4},frac{1}{4}) | (frac{1}{4},0,frac{1}{4}) | (frac{1}{4},0,frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},0) | (frac{3}{4},frac{1}{4},0) | ||||||||
| 8 | (c) | (bar{4},3,m) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{1}{4},frac{1}{4},frac{3}{4}) | |||||
| 4 | (b) | (m,bar{3},m) | (frac{1}{2},frac{1}{2},frac{1}{2}) | ||||||
| 4 | (a) | (m,bar{3},m) | (0,0,0) | ||||||
| 524 | 226 | (F 4/m bar{3} 2/c) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 192 | (j) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y+frac{1}{2},x+frac{1}{2},bar{z}+frac{1}{2}) | (bar{y}+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | (y+frac{1}{2},bar{x}+frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | ||||||
| (x+frac{1}{2},z+frac{1}{2},bar{y}+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x}+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{2},y+frac{1}{2}) | ||||||
| (z+frac{1}{2},y+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| (bar{x},bar{y},bar{z}) | (x,y,bar{z}) | (x,bar{y},z) | (bar{x},y,z) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x,y) | (z,x,bar{y}) | (z,bar{x},y) | ||||||
| (bar{y},bar{z},bar{x}) | (y,bar{z},x) | (bar{y},z,x) | (y,z,bar{x}) | ||||||
| (bar{y}+frac{1}{2},bar{x}+frac{1}{2},z+frac{1}{2}) | (y+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},x+frac{1}{2},bar{z}+frac{1}{2}) | (y+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | ||||||
| (bar{x}+frac{1}{2},bar{z}+frac{1}{2},y+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (x+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (bar{z}+frac{1}{2},bar{y}+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},y+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | ||||||
| 96 | (i) | (m,.,.) | (0,y,z) | (0,bar{y},z) | (0,y,bar{z}) | (0,bar{y},bar{z}) | |||
| (z,0,y) | (z,0,bar{y}) | (bar{z},0,y) | (bar{z},0,bar{y}) | ||||||
| (y,z,0) | (bar{y},z,0) | (y,bar{z},0) | (bar{y},bar{z},0) | ||||||
| (y+frac{1}{2},frac{1}{2},bar{z}+frac{1}{2}) | (bar{y}+frac{1}{2},frac{1}{2},bar{z}+frac{1}{2}) | (y+frac{1}{2},frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},frac{1}{2},z+frac{1}{2}) | ||||||
| (frac{1}{2},z+frac{1}{2},bar{y}+frac{1}{2}) | (frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (frac{1}{2},bar{z}+frac{1}{2},y+frac{1}{2}) | ||||||
| (z+frac{1}{2},y+frac{1}{2},frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},frac{1}{2}) | (bar{z}+frac{1}{2},y+frac{1}{2},frac{1}{2}) | (bar{z}+frac{1}{2},bar{y}+frac{1}{2},frac{1}{2}) | ||||||
| 96 | (h) | (.,.,2) | (frac{1}{4},y,y) | (frac{3}{4},bar{y},y) | (frac{3}{4},y,bar{y}) | (frac{1}{4},bar{y},bar{y}) | |||
| (y,frac{1}{4},y) | (y,frac{3}{4},bar{y}) | (bar{y},frac{3}{4},y) | (bar{y},frac{1}{4},bar{y}) | ||||||
| (y,y,frac{1}{4}) | (bar{y},y,frac{3}{4}) | (y,bar{y},frac{3}{4}) | (bar{y},bar{y},frac{1}{4}) | ||||||
| (frac{3}{4},bar{y},bar{y}) | (frac{1}{4},y,bar{y}) | (frac{1}{4},bar{y},y) | (frac{3}{4},y,y) | ||||||
| (bar{y},frac{3}{4},bar{y}) | (bar{y},frac{1}{4},y) | (y,frac{1}{4},bar{y}) | (y,frac{3}{4},y) | ||||||
| (bar{y},bar{y},frac{3}{4}) | (y,bar{y},frac{1}{4}) | (bar{y},y,frac{1}{4}) | (y,y,frac{3}{4}) | ||||||
| 64 | (g) | (.,3,.) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | ||||||
| (bar{x},bar{x},bar{x}) | (x,x,bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| (bar{x}+frac{1}{2},bar{x}+frac{1}{2},x+frac{1}{2}) | (x+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| 48 | (f) | (4,.,.) | (x,frac{1}{4},frac{1}{4}) | (bar{x},frac{3}{4},frac{1}{4}) | (frac{1}{4},x,frac{1}{4}) | (frac{1}{4},bar{x},frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},x) | (frac{3}{4},frac{1}{4},bar{x}) | (bar{x},frac{3}{4},frac{3}{4}) | (x,frac{1}{4},frac{3}{4}) | ||||||
| (frac{3}{4},bar{x},frac{3}{4}) | (frac{3}{4},x,frac{1}{4}) | (frac{3}{4},frac{3}{4},bar{x}) | (frac{1}{4},frac{3}{4},x) | ||||||
| 48 | (e) | (mm2,.,.) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | (frac{1}{2},x+frac{1}{2},frac{1}{2}) | (frac{1}{2},bar{x}+frac{1}{2},frac{1}{2}) | ||||||
| (x+frac{1}{2},frac{1}{2},frac{1}{2}) | (bar{x}+frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{1}{2},frac{1}{2},bar{x}+frac{1}{2}) | (frac{1}{2},frac{1}{2},x+frac{1}{2}) | ||||||
| 24 | (d) | (4/m..) | (0,frac{1}{4},frac{1}{4}) | (0,frac{3}{4},frac{1}{4}) | (frac{1}{4},0,frac{1}{4}) | (frac{1}{4},0,frac{3}{4}) | |||
| (frac{1}{4},frac{1}{4},0) | (frac{3}{4},frac{1}{4},0) | ||||||||
| 24 | (c) | (bar{4}m,.,2) | (frac{1}{4},0,0) | (frac{3}{4},0,0) | (0,frac{1}{4},0) | (0,frac{3}{4},0) | |||
| (0,0,frac{1}{4}) | (0,0,frac{3}{4}) | ||||||||
| 8 | (b) | (m,bar{3},.) | (0,0,0) | (frac{1}{2},frac{1}{2},frac{1}{2}) | |||||
| 8 | (a) | (4,3,2) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{3}{4}) | |||||
| 525 | 227 | (F 4_1/d bar{3} 2/m) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 192 | (i) | (1) | (x,y,z) | (bar{x},bar{y}+frac{1}{2},z+frac{1}{2}) | (bar{x}+frac{1}{2},y+frac{1}{2},bar{z}) | (x+frac{1}{2},bar{y},bar{z}+frac{1}{2}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x},bar{y}+frac{1}{2}) | (bar{z},bar{x}+frac{1}{2},y+frac{1}{2}) | (bar{z}+frac{1}{2},x+frac{1}{2},bar{y}) | ||||||
| (y,z,x) | (bar{y}+frac{1}{2},z+frac{1}{2},bar{x}) | (y+frac{1}{2},bar{z},bar{x}+frac{1}{2}) | (bar{y},bar{z}+frac{1}{2},x+frac{1}{2}) | ||||||
| (y+frac{3}{4},x+frac{1}{4},bar{z}+frac{3}{4}) | (bar{y}+frac{1}{4},bar{x}+frac{1}{4},bar{z}+frac{1}{4}) | (y+frac{1}{4},bar{x}+frac{3}{4},z+frac{3}{4}) | (bar{y}+frac{3}{4},x+frac{3}{4},z+frac{1}{4}) | ||||||
| (x+frac{3}{4},z+frac{1}{4},bar{y}+frac{3}{4}) | (bar{x}+frac{3}{4},z+frac{3}{4},y+frac{1}{4}) | (bar{x}+frac{1}{4},bar{z}+frac{1}{4},bar{y}+frac{1}{4}) | (x+frac{1}{4},bar{z}+frac{3}{4},y+frac{3}{4}) | ||||||
| (z+frac{3}{4},y+frac{1}{4},bar{x}+frac{3}{4}) | (z+frac{1}{4},bar{y}+frac{3}{4},x+frac{3}{4}) | (bar{z}+frac{3}{4},y+frac{3}{4},x+frac{1}{4}) | (bar{z}+frac{1}{4},bar{y}+frac{1}{4},bar{x}+frac{1}{4}) | ||||||
| (bar{x}+frac{1}{4},bar{y}+frac{1}{4},bar{z}+frac{1}{4}) | (x+frac{1}{4},y+frac{3}{4},bar{z}+frac{3}{4}) | (x+frac{3}{4},bar{y}+frac{3}{4},z+frac{1}{4}) | (bar{x}+frac{3}{4},y+frac{1}{4},z+frac{3}{4}) | ||||||
| (bar{z}+frac{1}{4},bar{x}+frac{1}{4},bar{y}+frac{1}{4}) | (bar{z}+frac{3}{4},x+frac{1}{4},y+frac{3}{4}) | (z+frac{1}{4},x+frac{3}{4},bar{y}+frac{3}{4}) | (z+frac{3}{4},bar{x}+frac{3}{4},y+frac{1}{4}) | ||||||
| (bar{y}+frac{1}{4},bar{z}+frac{1}{4},bar{x}+frac{1}{4}) | (y+frac{3}{4},bar{z}+frac{3}{4},x+frac{1}{4}) | (bar{y}+frac{3}{4},z+frac{1}{4},x+frac{3}{4}) | (y+frac{1}{4},z+frac{3}{4},bar{x}+frac{3}{4}) | ||||||
| (bar{y}+frac{1}{2},bar{x},z+frac{1}{2}) | (y,x,z) | (bar{y},x+frac{1}{2},bar{z}+frac{1}{2}) | (y+frac{1}{2},bar{x}+frac{1}{2},bar{z}) | ||||||
| (bar{x}+frac{1}{2},bar{z},y+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{2},bar{y}) | (x,z,y) | (bar{x},z+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (bar{z}+frac{1}{2},bar{y},x+frac{1}{2}) | (bar{z},y+frac{1}{2},bar{x}+frac{1}{2}) | (z+frac{1}{2},bar{y}+frac{1}{2},bar{x}) | (z,y,x) | ||||||
| 96 | (h) | (.,.,2) | (frac{1}{8},y,bar{y}+frac{1}{4}) | (frac{7}{8},bar{y}+frac{1}{2},bar{y}+frac{3}{4}) | (frac{3}{8},y+frac{1}{2},y+frac{3}{4}) | (frac{5}{8},bar{y},y+frac{1}{4}) | |||
| (bar{y}+frac{1}{4},frac{1}{8},y) | (bar{y}+frac{3}{4},frac{7}{8},bar{y}+frac{1}{2}) | (y+frac{3}{4},frac{3}{8},y+frac{1}{2}) | (y+frac{1}{4},frac{5}{8},bar{y}) | ||||||
| (y,bar{y}+frac{1}{4},frac{1}{8}) | (bar{y}+frac{1}{2},bar{y}+frac{3}{4},frac{7}{8}) | (y+frac{1}{2},y+frac{3}{4},frac{3}{8}) | (bar{y},y+frac{1}{4},frac{5}{8}) | ||||||
| (frac{1}{8},bar{y}+frac{1}{4},y) | (frac{3}{8},y+frac{3}{4},y+frac{1}{2}) | (frac{7}{8},bar{y}+frac{3}{4},bar{y}+frac{1}{2}) | (frac{5}{8},y+frac{1}{4},bar{y}) | ||||||
| (y,frac{1}{8},bar{y}+frac{1}{4}) | (y+frac{1}{2},frac{3}{8},y+frac{3}{4}) | (bar{y}+frac{1}{2},frac{7}{8},bar{y}+frac{3}{4}) | (bar{y},frac{5}{8},y+frac{1}{4}) | ||||||
| (bar{y}+frac{1}{4},y,frac{1}{8}) | (y+frac{3}{4},y+frac{1}{2},frac{3}{8}) | (bar{y}+frac{3}{4},bar{y}+frac{1}{2},frac{7}{8}) | (y+frac{1}{4},bar{y},frac{5}{8}) | ||||||
| 96 | (g) | (.,.,m) | (x,x,z) | (bar{x},bar{x}+frac{1}{2},z+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},bar{z}) | (x+frac{1}{2},bar{x},bar{z}+frac{1}{2}) | |||
| (z,x,x) | (z+frac{1}{2},bar{x},bar{x}+frac{1}{2}) | (bar{z},bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{z}+frac{1}{2},x+frac{1}{2},bar{x}) | ||||||
| (x,z,x) | (bar{x}+frac{1}{2},z+frac{1}{2},bar{x}) | (x+frac{1}{2},bar{z},bar{x}+frac{1}{2}) | (bar{x},bar{z}+frac{1}{2},x+frac{1}{2}) | ||||||
| (x+frac{3}{4},x+frac{1}{4},bar{z}+frac{3}{4}) | (bar{x}+frac{1}{4},bar{x}+frac{1}{4},bar{z}+frac{1}{4}) | (x+frac{1}{4},bar{x}+frac{3}{4},z+frac{3}{4}) | (bar{x}+frac{3}{4},x+frac{3}{4},z+frac{1}{4}) | ||||||
| (x+frac{3}{4},z+frac{1}{4},bar{x}+frac{3}{4}) | (bar{x}+frac{3}{4},z+frac{3}{4},x+frac{1}{4}) | (bar{x}+frac{1}{4},bar{z}+frac{1}{4},bar{x}+frac{1}{4}) | (x+frac{1}{4},bar{z}+frac{3}{4},x+frac{3}{4}) | ||||||
| (z+frac{3}{4},x+frac{1}{4},bar{x}+frac{3}{4}) | (z+frac{1}{4},bar{x}+frac{3}{4},x+frac{3}{4}) | (bar{z}+frac{3}{4},x+frac{3}{4},x+frac{1}{4}) | (bar{z}+frac{1}{4},bar{x}+frac{1}{4},bar{x}+frac{1}{4}) | ||||||
| 48 | (f) | (2,.,mm) | (x,0,0) | (bar{x},frac{1}{2},frac{1}{2}) | (0,x,0) | (frac{1}{2},bar{x},frac{1}{2}) | |||
| (0,0,x) | (frac{1}{2},frac{1}{2},bar{x}) | (frac{3}{4},x+frac{1}{4},frac{3}{4}) | (frac{1}{4},bar{x}+frac{1}{4},frac{1}{4}) | ||||||
| (x+frac{3}{4},frac{1}{4},frac{3}{4}) | (bar{x}+frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},bar{x}+frac{3}{4}) | (frac{1}{4},frac{3}{4},x+frac{3}{4}) | ||||||
| 32 | (e) | (.,3,m) | (x,x,x) | (bar{x},bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},bar{x}) | (x+frac{1}{2},bar{x},bar{x}+frac{1}{2}) | |||
| (x+frac{3}{4},x+frac{1}{4},bar{x}+frac{3}{4}) | (bar{x}+frac{1}{4},bar{x}+frac{1}{4},bar{x}+frac{1}{4}) | (x+frac{1}{4},bar{x}+frac{3}{4},x+frac{3}{4}) | (bar{x}+frac{3}{4},x+frac{3}{4},x+frac{1}{4}) | ||||||
| 16 | (d) | (.,bar{3},m) | (frac{5}{8},frac{5}{8},frac{5}{8}) | (frac{3}{8},frac{7}{8},frac{1}{8}) | (frac{7}{8},frac{1}{8},frac{3}{8}) | (frac{1}{8},frac{3}{8},frac{7}{8}) | |||
| 16 | (c) | (.,bar{3},m) | (frac{1}{8},frac{1}{8},frac{1}{8}) | (frac{7}{8},frac{3}{8},frac{5}{8}) | (frac{3}{8},frac{5}{8},frac{7}{8}) | (frac{5}{8},frac{7}{8},frac{3}{8}) | |||
| 8 | (b) | (bar{4},3,m) | (frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{1}{4},frac{3}{4},frac{1}{4}) | |||||
| 8 | (a) | (bar{4},3,m) | (0,0,0) | (frac{3}{4},frac{1}{4},frac{3}{4}) | |||||
| 526 | 227 | (F 4_1/d bar{3} 2/m) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 192 | (i) | (1) | (x,y,z) | (bar{x}+frac{3}{4},bar{y}+frac{1}{4},z+frac{1}{2}) | (bar{x}+frac{1}{4},y+frac{1}{2},bar{z}+frac{3}{4}) | (x+frac{1}{2},bar{y}+frac{3}{4},bar{z}+frac{1}{4}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x}+frac{3}{4},bar{y}+frac{1}{4}) | (bar{z}+frac{3}{4},bar{x}+frac{1}{4},y+frac{1}{2}) | (bar{z}+frac{1}{4},x+frac{1}{2},bar{y}+frac{3}{4}) | ||||||
| (y,z,x) | (bar{y}+frac{1}{4},z+frac{1}{2},bar{x}+frac{3}{4}) | (y+frac{1}{2},bar{z}+frac{3}{4},bar{x}+frac{1}{4}) | (bar{y}+frac{3}{4},bar{z}+frac{1}{4},x+frac{1}{2}) | ||||||
| (y+frac{3}{4},x+frac{1}{4},bar{z}+frac{1}{2}) | (bar{y},bar{x},bar{z}) | (y+frac{1}{4},bar{x}+frac{1}{2},z+frac{3}{4}) | (bar{y}+frac{1}{2},x+frac{3}{4},z+frac{1}{4}) | ||||||
| (x+frac{3}{4},z+frac{1}{4},bar{y}+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{3}{4},y+frac{1}{4}) | (bar{x},bar{z},bar{y}) | (x+frac{1}{4},bar{z}+frac{1}{2},y+frac{3}{4}) | ||||||
| (z+frac{3}{4},y+frac{1}{4},bar{x}+frac{1}{2}) | (z+frac{1}{4},bar{y}+frac{1}{2},x+frac{3}{4}) | (bar{z}+frac{1}{2},y+frac{3}{4},x+frac{1}{4}) | (bar{z},bar{y},bar{x}) | ||||||
| (bar{x},bar{y},bar{z}) | (x+frac{1}{4},y+frac{3}{4},bar{z}+frac{1}{2}) | (x+frac{3}{4},bar{y}+frac{1}{2},z+frac{1}{4}) | (bar{x}+frac{1}{2},y+frac{1}{4},z+frac{3}{4}) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z}+frac{1}{2},x+frac{1}{4},y+frac{3}{4}) | (z+frac{1}{4},x+frac{3}{4},bar{y}+frac{1}{2}) | (z+frac{3}{4},bar{x}+frac{1}{2},y+frac{1}{4}) | ||||||
| (bar{y},bar{z},bar{x}) | (y+frac{3}{4},bar{z}+frac{1}{2},x+frac{1}{4}) | (bar{y}+frac{1}{2},z+frac{1}{4},x+frac{3}{4}) | (y+frac{1}{4},z+frac{3}{4},bar{x}+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{4},bar{x}+frac{3}{4},z+frac{1}{2}) | (y,x,z) | (bar{y}+frac{3}{4},x+frac{1}{2},bar{z}+frac{1}{4}) | (y+frac{1}{2},bar{x}+frac{1}{4},bar{z}+frac{3}{4}) | ||||||
| (bar{x}+frac{1}{4},bar{z}+frac{3}{4},y+frac{1}{2}) | (x+frac{1}{2},bar{z}+frac{1}{4},bar{y}+frac{3}{4}) | (x,z,y) | (bar{x}+frac{3}{4},z+frac{1}{2},bar{y}+frac{1}{4}) | ||||||
| (bar{z}+frac{1}{4},bar{y}+frac{3}{4},x+frac{1}{2}) | (bar{z}+frac{3}{4},y+frac{1}{2},bar{x}+frac{1}{4}) | (z+frac{1}{2},bar{y}+frac{1}{4},bar{x}+frac{3}{4}) | (z,y,x) | ||||||
| 96 | (h) | (.,.,2) | (0,y,bar{y}) | (frac{3}{4},bar{y}+frac{1}{4},bar{y}+frac{1}{2}) | (frac{1}{4},y+frac{1}{2},y+frac{3}{4}) | (frac{1}{2},bar{y}+frac{3}{4},y+frac{1}{4}) | |||
| (bar{y},0,y) | (bar{y}+frac{1}{2},frac{3}{4},bar{y}+frac{1}{4}) | (y+frac{3}{4},frac{1}{4},y+frac{1}{2}) | (y+frac{1}{4},frac{1}{2},bar{y}+frac{3}{4}) | ||||||
| (y,bar{y},0) | (bar{y}+frac{1}{4},bar{y}+frac{1}{2},frac{3}{4}) | (y+frac{1}{2},y+frac{3}{4},frac{1}{4}) | (bar{y}+frac{3}{4},y+frac{1}{4},frac{1}{2}) | ||||||
| (0,bar{y},y) | (frac{1}{4},y+frac{3}{4},y+frac{1}{2}) | (frac{3}{4},bar{y}+frac{1}{2},bar{y}+frac{1}{4}) | (frac{1}{2},y+frac{1}{4},bar{y}+frac{3}{4}) | ||||||
| (y,0,bar{y}) | (y+frac{1}{2},frac{1}{4},y+frac{3}{4}) | (bar{y}+frac{1}{4},frac{3}{4},bar{y}+frac{1}{2}) | (bar{y}+frac{3}{4},frac{1}{2},y+frac{1}{4}) | ||||||
| (bar{y},y,0) | (y+frac{3}{4},y+frac{1}{2},frac{1}{4}) | (bar{y}+frac{1}{2},bar{y}+frac{1}{4},frac{3}{4}) | (y+frac{1}{4},bar{y}+frac{3}{4},frac{1}{2}) | ||||||
| 96 | (g) | (.,.,m) | (x,x,z) | (bar{x}+frac{3}{4},bar{x}+frac{1}{4},z+frac{1}{2}) | (bar{x}+frac{1}{4},x+frac{1}{2},bar{z}+frac{3}{4}) | (x+frac{1}{2},bar{x}+frac{3}{4},bar{z}+frac{1}{4}) | |||
| (z,x,x) | (z+frac{1}{2},bar{x}+frac{3}{4},bar{x}+frac{1}{4}) | (bar{z}+frac{3}{4},bar{x}+frac{1}{4},x+frac{1}{2}) | (bar{z}+frac{1}{4},x+frac{1}{2},bar{x}+frac{3}{4}) | ||||||
| (x,z,x) | (bar{x}+frac{1}{4},z+frac{1}{2},bar{x}+frac{3}{4}) | (x+frac{1}{2},bar{z}+frac{3}{4},bar{x}+frac{1}{4}) | (bar{x}+frac{3}{4},bar{z}+frac{1}{4},x+frac{1}{2}) | ||||||
| (x+frac{3}{4},x+frac{1}{4},bar{z}+frac{1}{2}) | (bar{x},bar{x},bar{z}) | (x+frac{1}{4},bar{x}+frac{1}{2},z+frac{3}{4}) | (bar{x}+frac{1}{2},x+frac{3}{4},z+frac{1}{4}) | ||||||
| (x+frac{3}{4},z+frac{1}{4},bar{x}+frac{1}{2}) | (bar{x}+frac{1}{2},z+frac{3}{4},x+frac{1}{4}) | (bar{x},bar{z},bar{x}) | (x+frac{1}{4},bar{z}+frac{1}{2},x+frac{3}{4}) | ||||||
| (z+frac{3}{4},x+frac{1}{4},bar{x}+frac{1}{2}) | (z+frac{1}{4},bar{x}+frac{1}{2},x+frac{3}{4}) | (bar{z}+frac{1}{2},x+frac{3}{4},x+frac{1}{4}) | (bar{z},bar{x},bar{x}) | ||||||
| 48 | (f) | (2,.,mm) | (x,frac{1}{8},frac{1}{8}) | (bar{x}+frac{3}{4},frac{1}{8},frac{5}{8}) | (frac{1}{8},x,frac{1}{8}) | (frac{5}{8},bar{x}+frac{3}{4},frac{1}{8}) | |||
| (frac{1}{8},frac{1}{8},x) | (frac{1}{8},frac{5}{8},bar{x}+frac{3}{4}) | (frac{7}{8},x+frac{1}{4},frac{3}{8}) | (frac{7}{8},bar{x},frac{7}{8}) | ||||||
| (x+frac{3}{4},frac{3}{8},frac{3}{8}) | (bar{x}+frac{1}{2},frac{7}{8},frac{3}{8}) | (frac{7}{8},frac{3}{8},bar{x}+frac{1}{2}) | (frac{3}{8},frac{3}{8},x+frac{3}{4}) | ||||||
| 32 | (e) | (.,3,m) | (x,x,x) | (bar{x}+frac{3}{4},bar{x}+frac{1}{4},x+frac{1}{2}) | (bar{x}+frac{1}{4},x+frac{1}{2},bar{x}+frac{3}{4}) | (x+frac{1}{2},bar{x}+frac{3}{4},bar{x}+frac{1}{4}) | |||
| (x+frac{3}{4},x+frac{1}{4},bar{x}+frac{1}{2}) | (bar{x},bar{x},bar{x}) | (x+frac{1}{4},bar{x}+frac{1}{2},x+frac{3}{4}) | (bar{x}+frac{1}{2},x+frac{3}{4},x+frac{1}{4}) | ||||||
| 16 | (d) | (.,bar{3},m) | (frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{1}{4},frac{3}{4},0) | (frac{3}{4},0,frac{1}{4}) | (0,frac{1}{4},frac{3}{4}) | |||
| 16 | (c) | (.,bar{3},m) | (0,0,0) | (frac{3}{4},frac{1}{4},frac{1}{2}) | (frac{1}{4},frac{1}{2},frac{3}{4}) | (frac{1}{2},frac{3}{4},frac{1}{4}) | |||
| 8 | (b) | (bar{4},3,m) | (frac{3}{8},frac{3}{8},frac{3}{8}) | (frac{1}{8},frac{5}{8},frac{1}{8}) | |||||
| 8 | (a) | (bar{4},3,m) | (frac{1}{8},frac{1}{8},frac{1}{8}) | (frac{7}{8},frac{3}{8},frac{3}{8}) | |||||
| 527 | 228 | (F 4_1/d bar{3} 2/c) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 192 | (h) | (1) | (x,y,z) | (bar{x},bar{y}+frac{1}{2},z+frac{1}{2}) | (bar{x}+frac{1}{2},y+frac{1}{2},bar{z}) | (x+frac{1}{2},bar{y},bar{z}+frac{1}{2}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x},bar{y}+frac{1}{2}) | (bar{z},bar{x}+frac{1}{2},y+frac{1}{2}) | (bar{z}+frac{1}{2},x+frac{1}{2},bar{y}) | ||||||
| (y,z,x) | (bar{y}+frac{1}{2},z+frac{1}{2},bar{x}) | (y+frac{1}{2},bar{z},bar{x}+frac{1}{2}) | (bar{y},bar{z}+frac{1}{2},x+frac{1}{2}) | ||||||
| (y+frac{3}{4},x+frac{1}{4},bar{z}+frac{3}{4}) | (bar{y}+frac{1}{4},bar{x}+frac{1}{4},bar{z}+frac{1}{4}) | (y+frac{1}{4},bar{x}+frac{3}{4},z+frac{3}{4}) | (bar{y}+frac{3}{4},x+frac{3}{4},z+frac{1}{4}) | ||||||
| (x+frac{3}{4},z+frac{1}{4},bar{y}+frac{3}{4}) | (bar{x}+frac{3}{4},z+frac{3}{4},y+frac{1}{4}) | (bar{x}+frac{1}{4},bar{z}+frac{1}{4},bar{y}+frac{1}{4}) | (x+frac{1}{4},bar{z}+frac{3}{4},y+frac{3}{4}) | ||||||
| (z+frac{3}{4},y+frac{1}{4},bar{x}+frac{3}{4}) | (z+frac{1}{4},bar{y}+frac{3}{4},x+frac{3}{4}) | (bar{z}+frac{3}{4},y+frac{3}{4},x+frac{1}{4}) | (bar{z}+frac{1}{4},bar{y}+frac{1}{4},bar{x}+frac{1}{4}) | ||||||
| (bar{x}+frac{3}{4},bar{y}+frac{3}{4},bar{z}+frac{3}{4}) | (x+frac{3}{4},y+frac{1}{4},bar{z}+frac{1}{4}) | (x+frac{1}{4},bar{y}+frac{1}{4},z+frac{3}{4}) | (bar{x}+frac{1}{4},y+frac{3}{4},z+frac{1}{4}) | ||||||
| (bar{z}+frac{3}{4},bar{x}+frac{3}{4},bar{y}+frac{3}{4}) | (bar{z}+frac{1}{4},x+frac{3}{4},y+frac{1}{4}) | (z+frac{3}{4},x+frac{1}{4},bar{y}+frac{1}{4}) | (z+frac{1}{4},bar{x}+frac{1}{4},y+frac{3}{4}) | ||||||
| (bar{y}+frac{3}{4},bar{z}+frac{3}{4},bar{x}+frac{3}{4}) | (y+frac{1}{4},bar{z}+frac{1}{4},x+frac{3}{4}) | (bar{y}+frac{1}{4},z+frac{3}{4},x+frac{1}{4}) | (y+frac{3}{4},z+frac{1}{4},bar{x}+frac{1}{4}) | ||||||
| (bar{y},bar{x}+frac{1}{2},z) | (y+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{1}{2},x,bar{z}) | (y,bar{x},bar{z}+frac{1}{2}) | ||||||
| (bar{x},bar{z}+frac{1}{2},y) | (x,bar{z},bar{y}+frac{1}{2}) | (x+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x}+frac{1}{2},z,bar{y}) | ||||||
| (bar{z},bar{y}+frac{1}{2},x) | (bar{z}+frac{1}{2},y,bar{x}) | (z,bar{y},bar{x}+frac{1}{2}) | (z+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | ||||||
| 96 | (g) | (.,.,2) | (frac{1}{8},y,bar{y}+frac{1}{4}) | (frac{7}{8},bar{y}+frac{1}{2},bar{y}+frac{3}{4}) | (frac{3}{8},y+frac{1}{2},y+frac{3}{4}) | (frac{5}{8},bar{y},y+frac{1}{4}) | |||
| (bar{y}+frac{1}{4},frac{1}{8},y) | (bar{y}+frac{3}{4},frac{7}{8},bar{y}+frac{1}{2}) | (y+frac{3}{4},frac{3}{8},y+frac{1}{2}) | (y+frac{1}{4},frac{5}{8},bar{y}) | ||||||
| (y,bar{y}+frac{1}{4},frac{1}{8}) | (bar{y}+frac{1}{2},bar{y}+frac{3}{4},frac{7}{8}) | (y+frac{1}{2},y+frac{3}{4},frac{3}{8}) | (bar{y},y+frac{1}{4},frac{5}{8}) | ||||||
| (frac{5}{8},bar{y}+frac{3}{4},y+frac{1}{2}) | (frac{7}{8},y+frac{1}{4},y) | (frac{3}{8},bar{y}+frac{1}{4},bar{y}) | (frac{1}{8},y+frac{3}{4},bar{y}+frac{1}{2}) | ||||||
| (y+frac{1}{2},frac{5}{8},bar{y}+frac{3}{4}) | (y,frac{7}{8},y+frac{1}{4}) | (bar{y},frac{3}{8},bar{y}+frac{1}{4}) | (bar{y}+frac{1}{2},frac{1}{8},y+frac{3}{4}) | ||||||
| (bar{y}+frac{3}{4},y+frac{1}{2},frac{5}{8}) | (y+frac{1}{4},y,frac{7}{8}) | (bar{y}+frac{1}{4},bar{y},frac{3}{8}) | (y+frac{3}{4},bar{y}+frac{1}{2},frac{1}{8}) | ||||||
| 96 | (f) | (2,.,.) | (x,0,0) | (bar{x},frac{1}{2},frac{1}{2}) | (0,x,0) | (frac{1}{2},bar{x},frac{1}{2}) | |||
| (0,0,x) | (frac{1}{2},frac{1}{2},bar{x}) | (frac{3}{4},x+frac{1}{4},frac{3}{4}) | (frac{1}{4},bar{x}+frac{1}{4},frac{1}{4}) | ||||||
| (x+frac{3}{4},frac{1}{4},frac{3}{4}) | (bar{x}+frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},bar{x}+frac{3}{4}) | (frac{1}{4},frac{3}{4},x+frac{3}{4}) | ||||||
| (bar{x}+frac{3}{4},frac{3}{4},frac{3}{4}) | (x+frac{3}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},bar{x}+frac{3}{4},frac{3}{4}) | (frac{1}{4},x+frac{3}{4},frac{1}{4}) | ||||||
| (frac{3}{4},frac{3}{4},bar{x}+frac{3}{4}) | (frac{1}{4},frac{1}{4},x+frac{3}{4}) | (0,bar{x}+frac{1}{2},0) | (frac{1}{2},x+frac{1}{2},frac{1}{2}) | ||||||
| (bar{x},frac{1}{2},0) | (x,0,frac{1}{2}) | (0,frac{1}{2},x) | (frac{1}{2},0,bar{x}) | ||||||
| 64 | (e) | (.,3,.) | (x,x,x) | (bar{x},bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},bar{x}) | (x+frac{1}{2},bar{x},bar{x}+frac{1}{2}) | |||
| (x+frac{3}{4},x+frac{1}{4},bar{x}+frac{3}{4}) | (bar{x}+frac{1}{4},bar{x}+frac{1}{4},bar{x}+frac{1}{4}) | (x+frac{1}{4},bar{x}+frac{3}{4},x+frac{3}{4}) | (bar{x}+frac{3}{4},x+frac{3}{4},x+frac{1}{4}) | ||||||
| (bar{x}+frac{3}{4},bar{x}+frac{3}{4},bar{x}+frac{3}{4}) | (x+frac{3}{4},x+frac{1}{4},bar{x}+frac{1}{4}) | (x+frac{1}{4},bar{x}+frac{1}{4},x+frac{3}{4}) | (bar{x}+frac{1}{4},x+frac{3}{4},x+frac{1}{4}) | ||||||
| (bar{x},bar{x}+frac{1}{2},x) | (x+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x,bar{x}) | (x,bar{x},bar{x}+frac{1}{2}) | ||||||
| 48 | (d) | (bar{4},.,.) | (frac{1}{4},0,0) | (frac{3}{4},frac{1}{2},frac{1}{2}) | (0,frac{1}{4},0) | (frac{1}{2},frac{3}{4},frac{1}{2}) | |||
| (0,0,frac{1}{4}) | (frac{1}{2},frac{1}{2},frac{3}{4}) | (frac{3}{4},frac{1}{2},frac{3}{4}) | (frac{1}{4},0,frac{1}{4}) | ||||||
| (0,frac{1}{4},frac{3}{4}) | (frac{1}{2},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{1}{2}) | (frac{1}{4},frac{3}{4},0) | ||||||
| 32 | (c) | (.,bar{3},.) | (frac{3}{8},frac{3}{8},frac{3}{8}) | (frac{5}{8},frac{1}{8},frac{7}{8}) | (frac{1}{8},frac{7}{8},frac{5}{8}) | (frac{7}{8},frac{5}{8},frac{1}{8}) | |||
| (frac{1}{8},frac{5}{8},frac{3}{8}) | (frac{7}{8},frac{7}{8},frac{7}{8}) | (frac{5}{8},frac{3}{8},frac{1}{8}) | (frac{3}{8},frac{1}{8},frac{5}{8}) | ||||||
| 32 | (b) | (.,3,2) | (frac{1}{8},frac{1}{8},frac{1}{8}) | (frac{7}{8},frac{3}{8},frac{5}{8}) | (frac{3}{8},frac{5}{8},frac{7}{8}) | (frac{5}{8},frac{7}{8},frac{3}{8}) | |||
| (frac{5}{8},frac{5}{8},frac{5}{8}) | (frac{7}{8},frac{3}{8},frac{1}{8}) | (frac{3}{8},frac{1}{8},frac{7}{8}) | (frac{1}{8},frac{7}{8},frac{3}{8}) | ||||||
| 16 | (a) | (2,3,.) | (0,0,0) | (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{3}{4},frac{3}{4},frac{3}{4}) | (0,frac{1}{2},0) | |||
| 528 | 228 | (F 4_1/d bar{3} 2/c) | ((0,0,0)+) | ( (0,frac{1}{2},frac{1}{2})+ ) | ( (frac{1}{2},0,frac{1}{2})+ ) | ( (frac{1}{2},frac{1}{2},0)+ ) | |||
| 192 | (h) | (1) | (x,y,z) | (bar{x}+frac{1}{4},bar{y}+frac{3}{4},z+frac{1}{2}) | (bar{x}+frac{3}{4},y+frac{1}{2},bar{z}+frac{1}{4}) | (x+frac{1}{2},bar{y}+frac{1}{4},bar{z}+frac{3}{4}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x}+frac{1}{4},bar{y}+frac{3}{4}) | (bar{z}+frac{1}{4},bar{x}+frac{3}{4},y+frac{1}{2}) | (bar{z}+frac{3}{4},x+frac{1}{2},bar{y}+frac{1}{4}) | ||||||
| (y,z,x) | (bar{y}+frac{3}{4},z+frac{1}{2},bar{x}+frac{1}{4}) | (y+frac{1}{2},bar{z}+frac{1}{4},bar{x}+frac{3}{4}) | (bar{y}+frac{1}{4},bar{z}+frac{3}{4},x+frac{1}{2}) | ||||||
| (y+frac{3}{4},x+frac{1}{4},bar{z}) | (bar{y}+frac{1}{2},bar{x}+frac{1}{2},bar{z}+frac{1}{2}) | (y+frac{1}{4},bar{x},z+frac{3}{4}) | (bar{y},x+frac{3}{4},z+frac{1}{4}) | ||||||
| (x+frac{3}{4},z+frac{1}{4},bar{y}) | (bar{x},z+frac{3}{4},y+frac{1}{4}) | (bar{x}+frac{1}{2},bar{z}+frac{1}{2},bar{y}+frac{1}{2}) | (x+frac{1}{4},bar{z},y+frac{3}{4}) | ||||||
| (z+frac{3}{4},y+frac{1}{4},bar{x}) | (z+frac{1}{4},bar{y},x+frac{3}{4}) | (bar{z},y+frac{3}{4},x+frac{1}{4}) | (bar{z}+frac{1}{2},bar{y}+frac{1}{2},bar{x}+frac{1}{2}) | ||||||
| (bar{x},bar{y},bar{z}) | (x+frac{3}{4},y+frac{1}{4},bar{z}+frac{1}{2}) | (x+frac{1}{4},bar{y}+frac{1}{2},z+frac{3}{4}) | (bar{x}+frac{1}{2},y+frac{3}{4},z+frac{1}{4}) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z}+frac{1}{2},x+frac{3}{4},y+frac{1}{4}) | (z+frac{3}{4},x+frac{1}{4},bar{y}+frac{1}{2}) | (z+frac{1}{4},bar{x}+frac{1}{2},y+frac{3}{4}) | ||||||
| (bar{y},bar{z},bar{x}) | (y+frac{1}{4},bar{z}+frac{1}{2},x+frac{3}{4}) | (bar{y}+frac{1}{2},z+frac{3}{4},x+frac{1}{4}) | (y+frac{3}{4},z+frac{1}{4},bar{x}+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{4},bar{x}+frac{3}{4},z) | (y+frac{1}{2},x+frac{1}{2},z+frac{1}{2}) | (bar{y}+frac{3}{4},x,bar{z}+frac{1}{4}) | (y,bar{x}+frac{1}{4},bar{z}+frac{3}{4}) | ||||||
| (bar{x}+frac{1}{4},bar{z}+frac{3}{4},y) | (x,bar{z}+frac{1}{4},bar{y}+frac{3}{4}) | (x+frac{1}{2},z+frac{1}{2},y+frac{1}{2}) | (bar{x}+frac{3}{4},z,bar{y}+frac{1}{4}) | ||||||
| (bar{z}+frac{1}{4},bar{y}+frac{3}{4},x) | (bar{z}+frac{3}{4},y,bar{x}+frac{1}{4}) | (z,bar{y}+frac{1}{4},bar{x}+frac{3}{4}) | (z+frac{1}{2},y+frac{1}{2},x+frac{1}{2}) | ||||||
| 96 | (g) | (.,.,2) | (frac{1}{4},y,bar{y}) | (0,bar{y}+frac{3}{4},bar{y}+frac{1}{2}) | (frac{1}{2},y+frac{1}{2},y+frac{1}{4}) | (frac{3}{4},bar{y}+frac{1}{4},y+frac{3}{4}) | |||
| (bar{y},frac{1}{4},y) | (bar{y}+frac{1}{2},0,bar{y}+frac{3}{4}) | (y+frac{1}{4},frac{1}{2},y+frac{1}{2}) | (y+frac{3}{4},frac{3}{4},bar{y}+frac{1}{4}) | ||||||
| (y,bar{y},frac{1}{4}) | (bar{y}+frac{3}{4},bar{y}+frac{1}{2},0) | (y+frac{1}{2},y+frac{1}{4},frac{1}{2}) | (bar{y}+frac{1}{4},y+frac{3}{4},frac{3}{4}) | ||||||
| (frac{3}{4},bar{y},y) | (0,y+frac{1}{4},y+frac{1}{2}) | (frac{1}{2},bar{y}+frac{1}{2},bar{y}+frac{3}{4}) | (frac{1}{4},y+frac{3}{4},bar{y}+frac{1}{4}) | ||||||
| (y,frac{3}{4},bar{y}) | (y+frac{1}{2},0,y+frac{1}{4}) | (bar{y}+frac{3}{4},frac{1}{2},bar{y}+frac{1}{2}) | (bar{y}+frac{1}{4},frac{1}{4},y+frac{3}{4}) | ||||||
| (bar{y},y,frac{3}{4}) | (y+frac{1}{4},y+frac{1}{2},0) | (bar{y}+frac{1}{2},bar{y}+frac{3}{4},frac{1}{2}) | (y+frac{3}{4},bar{y}+frac{1}{4},frac{1}{4}) | ||||||
| 96 | (f) | (2,.,.) | (x,frac{1}{8},frac{1}{8}) | (bar{x}+frac{1}{4},frac{5}{8},frac{5}{8}) | (frac{1}{8},x,frac{1}{8}) | (frac{5}{8},bar{x}+frac{1}{4},frac{5}{8}) | |||
| (frac{1}{8},frac{1}{8},x) | (frac{5}{8},frac{5}{8},bar{x}+frac{1}{4}) | (frac{7}{8},x+frac{1}{4},frac{7}{8}) | (frac{3}{8},bar{x}+frac{1}{2},frac{3}{8}) | ||||||
| (x+frac{3}{4},frac{3}{8},frac{7}{8}) | (bar{x},frac{7}{8},frac{3}{8}) | (frac{7}{8},frac{3}{8},bar{x}) | (frac{3}{8},frac{7}{8},x+frac{3}{4}) | ||||||
| (bar{x},frac{7}{8},frac{7}{8}) | (x+frac{3}{4},frac{3}{8},frac{3}{8}) | (frac{7}{8},bar{x},frac{7}{8}) | (frac{3}{8},x+frac{3}{4},frac{3}{8}) | ||||||
| (frac{7}{8},frac{7}{8},bar{x}) | (frac{3}{8},frac{3}{8},x+frac{3}{4}) | (frac{1}{8},bar{x}+frac{3}{4},frac{1}{8}) | (frac{5}{8},x+frac{1}{2},frac{5}{8}) | ||||||
| (bar{x}+frac{1}{4},frac{5}{8},frac{1}{8}) | (x,frac{1}{8},frac{5}{8}) | (frac{1}{8},frac{5}{8},x) | (frac{5}{8},frac{1}{8},bar{x}+frac{1}{4}) | ||||||
| 64 | (e) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{4},bar{x}+frac{3}{4},x+frac{1}{2}) | (bar{x}+frac{3}{4},x+frac{1}{2},bar{x}+frac{1}{4}) | (x+frac{1}{2},bar{x}+frac{1}{4},bar{x}+frac{3}{4}) | |||
| (x+frac{3}{4},x+frac{1}{4},bar{x}) | (bar{x}+frac{1}{2},bar{x}+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{4},bar{x},x+frac{3}{4}) | (bar{x},x+frac{3}{4},x+frac{1}{4}) | ||||||
| (bar{x},bar{x},bar{x}) | (x+frac{3}{4},x+frac{1}{4},bar{x}+frac{1}{2}) | (x+frac{1}{4},bar{x}+frac{1}{2},x+frac{3}{4}) | (bar{x}+frac{1}{2},x+frac{3}{4},x+frac{1}{4}) | ||||||
| (bar{x}+frac{1}{4},bar{x}+frac{3}{4},x) | (x+frac{1}{2},x+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{3}{4},x,bar{x}+frac{1}{4}) | (x,bar{x}+frac{1}{4},bar{x}+frac{3}{4}) | ||||||
| 48 | (d) | (bar{4},.,.) | (frac{7}{8},frac{1}{8},frac{1}{8}) | (frac{3}{8},frac{5}{8},frac{5}{8}) | (frac{1}{8},frac{7}{8},frac{1}{8}) | (frac{5}{8},frac{3}{8},frac{5}{8}) | |||
| (frac{1}{8},frac{1}{8},frac{7}{8}) | (frac{5}{8},frac{5}{8},frac{3}{8}) | (frac{7}{8},frac{1}{8},frac{7}{8}) | (frac{3}{8},frac{5}{8},frac{3}{8}) | ||||||
| (frac{5}{8},frac{3}{8},frac{7}{8}) | (frac{1}{8},frac{7}{8},frac{3}{8}) | (frac{7}{8},frac{3}{8},frac{1}{8}) | (frac{3}{8},frac{7}{8},frac{5}{8}) | ||||||
| 32 | (c) | (.,bar{3},.) | (0,0,0) | (frac{1}{4},frac{3}{4},frac{1}{2}) | (frac{3}{4},frac{1}{2},frac{1}{4}) | (frac{1}{2},frac{1}{4},frac{3}{4}) | |||
| (frac{3}{4},frac{1}{4},0) | (frac{1}{2},frac{1}{2},frac{1}{2}) | (frac{1}{4},0,frac{3}{4}) | (0,frac{3}{4},frac{1}{4}) | ||||||
| 32 | (b) | (.,3,2) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (0,frac{1}{2},frac{3}{4}) | (frac{1}{2},frac{3}{4},0) | (frac{3}{4},0,frac{1}{2}) | |||
| (frac{3}{4},frac{3}{4},frac{3}{4}) | (0,frac{1}{2},frac{1}{4}) | (frac{1}{2},frac{1}{4},0) | (frac{1}{4},0,frac{1}{2}) | ||||||
| 16 | (a) | (2,3,.) | (frac{1}{8},frac{1}{8},frac{1}{8}) | (frac{7}{8},frac{3}{8},frac{7}{8}) | (frac{7}{8},frac{7}{8},frac{7}{8}) | (frac{1}{8},frac{5}{8},frac{1}{8}) | |||
| 529 | 229 | (I 4/m bar{3} 2/m) | ((0,0,0)+) | ( (frac{1}{2},frac{1}{2},frac{1}{2})+ ) | |||||
| 96 | (l) | (1) | (x,y,z) | (bar{x},bar{y},z) | (bar{x},y,bar{z}) | (x,bar{y},bar{z}) | |||
| (z,x,y) | (z,bar{x},bar{y}) | (bar{z},bar{x},y) | (bar{z},x,bar{y}) | ||||||
| (y,z,x) | (bar{y},z,bar{x}) | (y,bar{z},bar{x}) | (bar{y},bar{z},x) | ||||||
| (y,x,bar{z}) | (bar{y},bar{x},bar{z}) | (y,bar{x},z) | (bar{y},x,z) | ||||||
| (x,z,bar{y}) | (bar{x},z,y) | (bar{x},bar{z},bar{y}) | (x,bar{z},y) | ||||||
| (z,y,bar{x}) | (z,bar{y},x) | (bar{z},y,x) | (bar{z},bar{y},bar{x}) | ||||||
| (bar{x},bar{y},bar{z}) | (x,y,bar{z}) | (x,bar{y},z) | (bar{x},y,z) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z},x,y) | (z,x,bar{y}) | (z,bar{x},y) | ||||||
| (bar{y},bar{z},bar{x}) | (y,bar{z},x) | (bar{y},z,x) | (y,z,bar{x}) | ||||||
| (bar{y},bar{x},z) | (y,x,z) | (bar{y},x,bar{z}) | (y,bar{x},bar{z}) | ||||||
| (bar{x},bar{z},y) | (x,bar{z},bar{y}) | (x,z,y) | (bar{x},z,bar{y}) | ||||||
| (bar{z},bar{y},x) | (bar{z},y,bar{x}) | (z,bar{y},bar{x}) | (z,y,x) | ||||||
| 48 | (k) | (.,.,m) | (x,x,z) | (bar{x},bar{x},z) | (bar{x},x,bar{z}) | (x,bar{x},bar{z}) | |||
| (z,x,x) | (z,bar{x},bar{x}) | (bar{z},bar{x},x) | (bar{z},x,bar{x}) | ||||||
| (x,z,x) | (bar{x},z,bar{x}) | (x,bar{z},bar{x}) | (bar{x},bar{z},x) | ||||||
| (x,x,bar{z}) | (bar{x},bar{x},bar{z}) | (x,bar{x},z) | (bar{x},x,z) | ||||||
| (x,z,bar{x}) | (bar{x},z,x) | (bar{x},bar{z},bar{x}) | (x,bar{z},x) | ||||||
| (z,x,bar{x}) | (z,bar{x},x) | (bar{z},x,x) | (bar{z},bar{x},bar{x}) | ||||||
| 48 | (j) | (m,.,.) | (0,y,z) | (0,bar{y},z) | (0,y,bar{z}) | (0,bar{y},bar{z}) | |||
| (z,0,y) | (z,0,bar{y}) | (bar{z},0,y) | (bar{z},0,bar{y}) | ||||||
| (y,z,0) | (bar{y},z,0) | (y,bar{z},0) | (bar{y},bar{z},0) | ||||||
| (y,0,bar{z}) | (bar{y},0,bar{z}) | (y,0,z) | (bar{y},0,z) | ||||||
| (0,z,bar{y}) | (0,z,y) | (0,bar{z},bar{y}) | (0,bar{z},y) | ||||||
| (z,y,0) | (z,bar{y},0) | (bar{z},y,0) | (bar{z},bar{y},0) | ||||||
| 48 | (i) | (.,.,2) | (frac{1}{4},y,bar{y}+frac{1}{2}) | (frac{3}{4},bar{y},bar{y}+frac{1}{2}) | (frac{3}{4},y,y+frac{1}{2}) | (frac{1}{4},bar{y},y+frac{1}{2}) | |||
| (bar{y}+frac{1}{2},frac{1}{4},y) | (bar{y}+frac{1}{2},frac{3}{4},bar{y}) | (y+frac{1}{2},frac{3}{4},y) | (y+frac{1}{2},frac{1}{4},bar{y}) | ||||||
| (y,bar{y}+frac{1}{2},frac{1}{4}) | (bar{y},bar{y}+frac{1}{2},frac{3}{4}) | (y,y+frac{1}{2},frac{3}{4}) | (bar{y},y+frac{1}{2},frac{1}{4}) | ||||||
| (frac{3}{4},bar{y},y+frac{1}{2}) | (frac{1}{4},y,y+frac{1}{2}) | (frac{1}{4},bar{y},bar{y}+frac{1}{2}) | (frac{3}{4},y,bar{y}+frac{1}{2}) | ||||||
| (y+frac{1}{2},frac{3}{4},bar{y}) | (y+frac{1}{2},frac{1}{4},y) | (bar{y}+frac{1}{2},frac{1}{4},bar{y}) | (bar{y}+frac{1}{2},frac{3}{4},y) | ||||||
| (bar{y},y+frac{1}{2},frac{3}{4}) | (y,y+frac{1}{2},frac{1}{4}) | (bar{y},bar{y}+frac{1}{2},frac{1}{4}) | (y,bar{y}+frac{1}{2},frac{3}{4}) | ||||||
| 24 | (h) | (m,.,m2) | (0,y,y) | (0,bar{y},y) | (0,y,bar{y}) | (0,bar{y},bar{y}) | |||
| (y,0,y) | (y,0,bar{y}) | (bar{y},0,y) | (bar{y},0,bar{y}) | ||||||
| (y,y,0) | (bar{y},y,0) | (y,bar{y},0) | (bar{y},bar{y},0) | ||||||
| 24 | (g) | (mm2,.,.) | (x,0,frac{1}{2}) | (bar{x},0,frac{1}{2}) | (frac{1}{2},x,0) | (frac{1}{2},bar{x},0) | |||
| (0,frac{1}{2},x) | (0,frac{1}{2},bar{x}) | (0,x,frac{1}{2}) | (0,bar{x},frac{1}{2}) | ||||||
| (x,frac{1}{2},0) | (bar{x},frac{1}{2},0) | (frac{1}{2},0,bar{x}) | (frac{1}{2},0,x) | ||||||
| 16 | (f) | (.,3,m) | (x,x,x) | (bar{x},bar{x},x) | (bar{x},x,bar{x}) | (x,bar{x},bar{x}) | |||
| (x,x,bar{x}) | (bar{x},bar{x},bar{x}) | (x,bar{x},x) | (bar{x},x,x) | ||||||
| 12 | (e) | (4m,.,m) | (x,0,0) | (bar{x},0,0) | (0,x,0) | (0,bar{x},0) | |||
| (0,0,x) | (0,0,bar{x}) | ||||||||
| 12 | (d) | (bar{4}m,.,2) | (frac{1}{4},0,frac{1}{2}) | (frac{3}{4},0,frac{1}{2}) | (frac{1}{2},frac{1}{4},0) | (frac{1}{2},frac{3}{4},0) | |||
| (0,frac{1}{2},frac{1}{4}) | (0,frac{1}{2},frac{3}{4}) | ||||||||
| 8 | (c) | (.,bar{3},m) | (frac{1}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{1}{4}) | (frac{3}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{3}{4}) | |||
| 6 | (b) | (4/mm,.,m) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},0,frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | ||||
| 2 | (a) | (m,bar{3},m) | (0,0,0) | ||||||
| 530 | 230 | (I 4_1/a bar{3} 2/d) | ((0,0,0)+) | ( (frac{1}{2},frac{1}{2},frac{1}{2})+ ) | |||||
| 96 | (h) | (1) | (x,y,z) | (bar{x}+frac{1}{2},bar{y},z+frac{1}{2}) | (bar{x},y+frac{1}{2},bar{z}+frac{1}{2}) | (x+frac{1}{2},bar{y}+frac{1}{2},bar{z}) | |||
| (z,x,y) | (z+frac{1}{2},bar{x}+frac{1}{2},bar{y}) | (bar{z}+frac{1}{2},bar{x},y+frac{1}{2}) | (bar{z},x+frac{1}{2},bar{y}+frac{1}{2}) | ||||||
| (y,z,x) | (bar{y},z+frac{1}{2},bar{x}+frac{1}{2}) | (y+frac{1}{2},bar{z}+frac{1}{2},bar{x}) | (bar{y}+frac{1}{2},bar{z},x+frac{1}{2}) | ||||||
| (y+frac{3}{4},x+frac{1}{4},bar{z}+frac{1}{4}) | (bar{y}+frac{3}{4},bar{x}+frac{3}{4},bar{z}+frac{3}{4}) | (y+frac{1}{4},bar{x}+frac{1}{4},z+frac{3}{4}) | (bar{y}+frac{1}{4},x+frac{3}{4},z+frac{1}{4}) | ||||||
| (x+frac{3}{4},z+frac{1}{4},bar{y}+frac{1}{4}) | (bar{x}+frac{1}{4},z+frac{3}{4},y+frac{1}{4}) | (bar{x}+frac{3}{4},bar{z}+frac{3}{4},bar{y}+frac{3}{4}) | (x+frac{1}{4},bar{z}+frac{1}{4},y+frac{3}{4}) | ||||||
| (z+frac{3}{4},y+frac{1}{4},bar{x}+frac{1}{4}) | (z+frac{1}{4},bar{y}+frac{1}{4},x+frac{3}{4}) | (bar{z}+frac{1}{4},y+frac{3}{4},x+frac{1}{4}) | (bar{z}+frac{3}{4},bar{y}+frac{3}{4},bar{x}+frac{3}{4}) | ||||||
| (bar{x},bar{y},bar{z}) | (x+frac{1}{2},y,bar{z}+frac{1}{2}) | (x,bar{y}+frac{1}{2},z+frac{1}{2}) | (bar{x}+frac{1}{2},y+frac{1}{2},z) | ||||||
| (bar{z},bar{x},bar{y}) | (bar{z}+frac{1}{2},x+frac{1}{2},y) | (z+frac{1}{2},x,bar{y}+frac{1}{2}) | (z,bar{x}+frac{1}{2},y+frac{1}{2}) | ||||||
| (bar{y},bar{z},bar{x}) | (y,bar{z}+frac{1}{2},x+frac{1}{2}) | (bar{y}+frac{1}{2},z+frac{1}{2},x) | (y+frac{1}{2},z,bar{x}+frac{1}{2}) | ||||||
| (bar{y}+frac{1}{4},bar{x}+frac{3}{4},z+frac{3}{4}) | (y+frac{1}{4},x+frac{1}{4},z+frac{1}{4}) | (bar{y}+frac{3}{4},x+frac{3}{4},bar{z}+frac{1}{4}) | (y+frac{3}{4},bar{x}+frac{1}{4},bar{z}+frac{3}{4}) | ||||||
| (bar{x}+frac{1}{4},bar{z}+frac{3}{4},y+frac{3}{4}) | (x+frac{3}{4},bar{z}+frac{1}{4},bar{y}+frac{3}{4}) | (x+frac{1}{4},z+frac{1}{4},y+frac{1}{4}) | (bar{x}+frac{3}{4},z+frac{3}{4},bar{y}+frac{1}{4}) | ||||||
| (bar{z}+frac{1}{4},bar{y}+frac{3}{4},x+frac{3}{4}) | (bar{z}+frac{3}{4},y+frac{3}{4},bar{x}+frac{1}{4}) | (z+frac{3}{4},bar{y}+frac{1}{4},bar{x}+frac{3}{4}) | (z+frac{1}{4},y+frac{1}{4},x+frac{1}{4}) | ||||||
| 48 | (g) | (.,.,2) | (frac{1}{8},y,bar{y}+frac{1}{4}) | (frac{3}{8},bar{y},bar{y}+frac{3}{4}) | (frac{7}{8},y+frac{1}{2},y+frac{1}{4}) | (frac{5}{8},bar{y}+frac{1}{2},y+frac{3}{4}) | |||
| (bar{y}+frac{1}{4},frac{1}{8},y) | (bar{y}+frac{3}{4},frac{3}{8},bar{y}) | (y+frac{1}{4},frac{7}{8},y+frac{1}{2}) | (y+frac{3}{4},frac{5}{8},bar{y}+frac{1}{2}) | ||||||
| (y,bar{y}+frac{1}{4},frac{1}{8}) | (bar{y},bar{y}+frac{3}{4},frac{3}{8}) | (y+frac{1}{2},y+frac{1}{4},frac{7}{8}) | (bar{y}+frac{1}{2},y+frac{3}{4},frac{5}{8}) | ||||||
| (frac{7}{8},bar{y},y+frac{3}{4}) | (frac{5}{8},y,y+frac{1}{4}) | (frac{1}{8},bar{y}+frac{1}{2},bar{y}+frac{3}{4}) | (frac{3}{8},y+frac{1}{2},bar{y}+frac{1}{4}) | ||||||
| (y+frac{3}{4},frac{7}{8},bar{y}) | (y+frac{1}{4},frac{5}{8},y) | (bar{y}+frac{3}{4},frac{1}{8},bar{y}+frac{1}{2}) | (bar{y}+frac{1}{4},frac{3}{8},y+frac{1}{2}) | ||||||
| (bar{y},y+frac{3}{4},frac{7}{8}) | (y,y+frac{1}{4},frac{5}{8}) | (bar{y}+frac{1}{2},bar{y}+frac{3}{4},frac{1}{8}) | (y+frac{1}{2},bar{y}+frac{1}{4},frac{3}{8}) | ||||||
| 48 | (f) | (2,.,.) | (x,0,frac{1}{4}) | (bar{x}+frac{1}{2},0,frac{3}{4}) | (frac{1}{4},x,0) | (frac{3}{4},bar{x}+frac{1}{2},0) | |||
| (0,frac{1}{4},x) | (0,frac{3}{4},bar{x}+frac{1}{2}) | (frac{3}{4},x+frac{1}{4},0) | (frac{3}{4},bar{x}+frac{3}{4},frac{1}{2}) | ||||||
| (x+frac{3}{4},frac{1}{2},frac{1}{4}) | (bar{x}+frac{1}{4},0,frac{1}{4}) | (0,frac{1}{4},bar{x}+frac{1}{4}) | (frac{1}{2},frac{1}{4},x+frac{3}{4}) | ||||||
| (bar{x},0,frac{3}{4}) | (x+frac{1}{2},0,frac{1}{4}) | (frac{3}{4},bar{x},0) | (frac{1}{4},x+frac{1}{2},0) | ||||||
| (0,frac{3}{4},bar{x}) | (0,frac{1}{4},x+frac{1}{2}) | (frac{1}{4},bar{x}+frac{3}{4},0) | (frac{1}{4},x+frac{1}{4},frac{1}{2}) | ||||||
| (bar{x}+frac{1}{4},frac{1}{2},frac{3}{4}) | (x+frac{3}{4},0,frac{3}{4}) | (0,frac{3}{4},x+frac{3}{4}) | (frac{1}{2},frac{3}{4},bar{x}+frac{1}{4}) | ||||||
| 32 | (e) | (.,3,.) | (x,x,x) | (bar{x}+frac{1}{2},bar{x},x+frac{1}{2}) | (bar{x},x+frac{1}{2},bar{x}+frac{1}{2}) | (x+frac{1}{2},bar{x}+frac{1}{2},bar{x}) | |||
| (x+frac{3}{4},x+frac{1}{4},bar{x}+frac{1}{4}) | (bar{x}+frac{3}{4},bar{x}+frac{3}{4},bar{x}+frac{3}{4}) | (x+frac{1}{4},bar{x}+frac{1}{4},x+frac{3}{4}) | (bar{x}+frac{1}{4},x+frac{3}{4},x+frac{1}{4}) | ||||||
| (bar{x},bar{x},bar{x}) | (x+frac{1}{2},x,bar{x}+frac{1}{2}) | (x,bar{x}+frac{1}{2},x+frac{1}{2}) | (bar{x}+frac{1}{2},x+frac{1}{2},x) | ||||||
| (bar{x}+frac{1}{4},bar{x}+frac{3}{4},x+frac{3}{4}) | (x+frac{1}{4},x+frac{1}{4},x+frac{1}{4}) | (bar{x}+frac{3}{4},x+frac{3}{4},bar{x}+frac{1}{4}) | (x+frac{3}{4},bar{x}+frac{1}{4},bar{x}+frac{3}{4}) | ||||||
| 24 | (d) | (bar{4},.,.) | (frac{3}{8},0,frac{1}{4}) | (frac{1}{8},0,frac{3}{4}) | (frac{1}{4},frac{3}{8},0) | (frac{3}{4},frac{1}{8},0) | |||
| (0,frac{1}{4},frac{3}{8}) | (0,frac{3}{4},frac{1}{8}) | (frac{3}{4},frac{5}{8},0) | (frac{3}{4},frac{3}{8},frac{1}{2}) | ||||||
| (frac{1}{8},frac{1}{2},frac{1}{4}) | (frac{7}{8},0,frac{1}{4}) | (0,frac{1}{4},frac{7}{8}) | (frac{1}{2},frac{1}{4},frac{1}{8}) | ||||||
| 24 | (c) | (2,.,22) | (frac{1}{8},0,frac{1}{4}) | (frac{3}{8},0,frac{3}{4}) | (frac{1}{4},frac{1}{8},0) | (frac{3}{4},frac{3}{8},0) | |||
| (0,frac{1}{4},frac{1}{8}) | (0,frac{3}{4},frac{3}{8}) | (frac{7}{8},0,frac{3}{4}) | (frac{5}{8},0,frac{1}{4}) | ||||||
| (frac{3}{4},frac{7}{8},0) | (frac{1}{4},frac{5}{8},0) | (0,frac{3}{4},frac{7}{8}) | (0,frac{1}{4},frac{5}{8}) | ||||||
| 16 | (b) | (.,3,2) | (frac{1}{8},frac{1}{8},frac{1}{8}) | (frac{3}{8},frac{7}{8},frac{5}{8}) | (frac{7}{8},frac{5}{8},frac{3}{8}) | (frac{5}{8},frac{3}{8},frac{7}{8}) | |||
| (frac{7}{8},frac{7}{8},frac{7}{8}) | (frac{5}{8},frac{1}{8},frac{3}{8}) | (frac{1}{8},frac{3}{8},frac{5}{8}) | (frac{3}{8},frac{5}{8},frac{1}{8}) | ||||||
| 16 | (a) | (.,bar{3},.) | (0,0,0) | (frac{1}{2},0,frac{1}{2}) | (0,frac{1}{2},frac{1}{2}) | (frac{1}{2},frac{1}{2},0) | |||
| (frac{3}{4},frac{1}{4},frac{1}{4}) | (frac{3}{4},frac{3}{4},frac{3}{4}) | (frac{1}{4},frac{1}{4},frac{3}{4}) | (frac{1}{4},frac{3}{4},frac{1}{4}) | ||||||