Regular maps in the orientable surface of genus 57
Name | Schläfli | V / F / E | mV, mF | notes |
C&D no. | images | wire- frames |
R57.2 | {4,6}8 | 224 / 336 / 672 |
1,1 | | R57.2 | 0 | 0 |
R57.2′ | {6,4}8 | 336 / 224 / 672 |
1,1 | | R57.2′ | 0 | 0 |
C57.1 | {3,12}56 | 112 / 448 / 672 |
2,1 | | C57.1 | 0 | 0 |
C57.1′ | {12,3}56 | 448 / 112 / 672 |
1,2 | | C57.1′ | 0 | 0 |
R57.1 | {3,18}14 | 56 / 336 / 504 |
2,1 | | R57.1 | 0 | 0 |
R57.1′ | {18,3}14 | 336 / 56 / 504 |
1,2 | | R57.1′ | 0 | 0 |
C57.2 | {6,6}56 | 112 / 112 / 336 |
1,1 | | C57.2 | 0 | 0 |
C57.2′ | {6,6}56 | 112 / 112 / 336 |
1,1 | | C57.2′ | 0 | 0 |
R57.15 | {6,6}8 | 112 / 112 / 336 |
1,1 | | R57.15 | 0 | 0 |
R57.14 | {5,8}20 | 80 / 128 / 320 |
2,1 | | R57.14 | 0 | 0 |
R57.14′ | {8,5}20 | 128 / 80 / 320 |
1,2 | | R57.14′ | 0 | 0 |
R57.3 | {4,18}18 | 32 / 144 / 288 |
3,1 | | R57.3 | 0 | 0 |
R57.3′ | {18,4}18 | 144 / 32 / 288 |
1,3 | | R57.3′ | 0 | 0 |
R57.4 | {4,18}72 | 32 / 144 / 288 |
3,1 | | R57.4 | 0 | 0 |
R57.4′ | {18,4}72 | 144 / 32 / 288 |
1,3 | | R57.4′ | 0 | 0 |
R57.5 | {4,32}32 | 16 / 128 / 256 |
8,1 | | R57.5 | 0 | 0 |
R57.5′ | {32,4}32 | 128 / 16 / 256 |
1,8 | | R57.5′ | 0 | 0 |
R57.6 | {4,32}32 | 16 / 128 / 256 |
8,1 | | R57.6 | 0 | 0 |
R57.6′ | {32,4}32 | 128 / 16 / 256 |
1,8 | | R57.6′ | 0 | 0 |
R57.7 | {4,32}32 | 16 / 128 / 256 |
8,1 | | R57.7 | 0 | 0 |
R57.7′ | {32,4}32 | 128 / 16 / 256 |
1,8 | | R57.7′ | 0 | 0 |
R57.8 | {4,32}32 | 16 / 128 / 256 |
8,1 | | R57.8 | 0 | 0 |
R57.8′ | {32,4}32 | 128 / 16 / 256 |
1,8 | | R57.8′ | 0 | 0 |
R57.16 | {6,10}10 | 48 / 80 / 240 |
1,1 | | R57.16 | 0 | 0 |
R57.16′ | {10,6}10 | 80 / 48 / 240 |
1,1 | | R57.16′ | 0 | 0 |
R57.17 | {6,10}8 | 48 / 80 / 240 |
2,1 | | R57.17 | 0 | 0 |
R57.17′ | {10,6}8 | 80 / 48 / 240 |
1,2 | | R57.17′ | 0 | 0 |
R57.10 | {4,60}30 | 8 / 120 / 240 |
20,1 | | R57.10 | 0 | 0 |
R57.10′ | {60,4}30 | 120 / 8 / 240 |
1,20 | | R57.10′ | 0 | 0 |
R57.11 | {4,60}60 | 8 / 120 / 240 |
15,1 | | R57.11 | 0 | 0 |
R57.11′ | {60,4}60 | 120 / 8 / 240 |
1,15 | | R57.11′ | 0 | 0 |
R57.9 | {4,60}60 | 8 / 120 / 240 |
20,1 | | R57.9 | 0 | 0 |
R57.9′ | {60,4}60 | 120 / 8 / 240 |
1,20 | | R57.9′ | 0 | 0 |
R57.12 | {4,116}116 | 4 / 116 / 232 |
58,2 | θ | R57.12 | 0 | 0 |
R57.12′ | {116,4}116 | 116 / 4 / 232 |
2,58 | θ' | R57.12′ | (see ser θ') | 0 |
R57.13 | {4,228}114 | 2 / 114 / 228 |
228,2 | ζ'°' | R57.13 | 0 | 0 |
R57.13′ | {228,4}114 | 114 / 2 / 228 |
2,228 | ζ'° | R57.13′ | (see ser ζ'°) | 0 |
R57.20 | {8,12}6 | 32 / 48 / 192 |
4,1 | | R57.20 | 0 | 0 |
R57.20′ | {12,8}6 | 48 / 32 / 192 |
1,4 | | R57.20′ | 0 | 0 |
R57.21 | {8,12}12 | 32 / 48 / 192 |
4,1 | | R57.21 | 0 | 0 |
R57.21′ | {12,8}12 | 48 / 32 / 192 |
1,4 | | R57.21′ | 0 | 0 |
R57.22 | {8,12}12 | 32 / 48 / 192 |
4,1 | | R57.22 | 0 | 0 |
R57.22′ | {12,8}12 | 48 / 32 / 192 |
1,4 | | R57.22′ | 0 | 0 |
R57.23 | {8,12}6 | 32 / 48 / 192 |
4,1 | | R57.23 | 0 | 0 |
R57.23′ | {12,8}6 | 48 / 32 / 192 |
1,4 | | R57.23′ | 0 | 0 |
R57.24 | {8,12}12 | 32 / 48 / 192 |
2,2 | | R57.24 | 0 | 0 |
R57.24′ | {12,8}12 | 48 / 32 / 192 |
2,2 | | R57.24′ | 0 | 0 |
R57.25 | {8,12}24 | 32 / 48 / 192 |
2,2 | | R57.25 | 0 | 0 |
R57.25′ | {12,8}24 | 48 / 32 / 192 |
2,2 | | R57.25′ | 0 | 0 |
R57.26 | {8,12}12 | 32 / 48 / 192 |
2,2 | | R57.26 | 0 | 0 |
R57.26′ | {12,8}12 | 48 / 32 / 192 |
2,2 | | R57.26′ | 0 | 0 |
R57.27 | {8,12}6 | 32 / 48 / 192 |
2,2 | | R57.27 | 0 | 0 |
R57.27′ | {12,8}6 | 48 / 32 / 192 |
2,2 | | R57.27′ | 0 | 0 |
R57.28 | {8,12}12 | 32 / 48 / 192 |
2,2 | | R57.28 | 0 | 0 |
R57.28′ | {12,8}12 | 48 / 32 / 192 |
2,2 | | R57.28′ | 0 | 0 |
R57.29 | {8,12}6 | 32 / 48 / 192 |
2,2 | | R57.29 | 0 | 0 |
R57.29′ | {12,8}6 | 48 / 32 / 192 |
2,2 | | R57.29′ | 0 | 0 |
R57.30 | {8,12}6 | 32 / 48 / 192 |
2,1 | | R57.30 | 0 | 0 |
R57.30′ | {12,8}6 | 48 / 32 / 192 |
1,2 | | R57.30′ | 0 | 0 |
R57.31 | {8,12}12 | 32 / 48 / 192 |
2,1 | | R57.31 | 0 | 0 |
R57.31′ | {12,8}12 | 48 / 32 / 192 |
1,2 | | R57.31′ | 0 | 0 |
R57.32 | {8,12}6 | 32 / 48 / 192 |
2,1 | | R57.32 | 0 | 0 |
R57.32′ | {12,8}6 | 48 / 32 / 192 |
1,2 | | R57.32′ | 0 | 0 |
R57.33 | {8,12}12 | 32 / 48 / 192 |
2,1 | | R57.33 | 0 | 0 |
R57.33′ | {12,8}12 | 48 / 32 / 192 |
1,2 | | R57.33′ | 0 | 0 |
R57.34 | {8,12}24 | 32 / 48 / 192 |
1,2 | | R57.34 | 0 | 0 |
R57.34′ | {12,8}24 | 48 / 32 / 192 |
2,1 | | R57.34′ | 0 | 0 |
R57.35 | {8,12}12 | 32 / 48 / 192 |
1,2 | | R57.35 | 0 | 0 |
R57.35′ | {12,8}12 | 48 / 32 / 192 |
2,1 | | R57.35′ | 0 | 0 |
R57.36 | {8,12}24 | 32 / 48 / 192 |
2,2 | | R57.36 | 0 | 0 |
R57.36′ | {12,8}24 | 48 / 32 / 192 |
2,2 | | R57.36′ | 0 | 0 |
R57.37 | {8,12}24 | 32 / 48 / 192 |
2,2 | | R57.37 | 0 | 0 |
R57.37′ | {12,8}24 | 48 / 32 / 192 |
2,2 | | R57.37′ | 0 | 0 |
R57.38 | {8,12}24 | 32 / 48 / 192 |
2,2 | | R57.38 | 0 | 0 |
R57.38′ | {12,8}24 | 48 / 32 / 192 |
2,2 | | R57.38′ | 0 | 0 |
R57.39 | {8,12}24 | 32 / 48 / 192 |
3,2 | | R57.39 | 0 | 0 |
R57.39′ | {12,8}24 | 48 / 32 / 192 |
2,3 | | R57.39′ | 0 | 0 |
R57.40 | {8,12}24 | 32 / 48 / 192 |
3,2 | | R57.40 | 0 | 0 |
R57.40′ | {12,8}24 | 48 / 32 / 192 |
2,3 | | R57.40′ | 0 | 0 |
R57.41 | {8,12}12 | 32 / 48 / 192 |
3,1 | | R57.41 | 0 | 0 |
R57.41′ | {12,8}12 | 48 / 32 / 192 |
1,3 | | R57.41′ | 0 | 0 |
R57.42 | {8,12}24 | 32 / 48 / 192 |
3,1 | | R57.42 | 0 | 0 |
R57.42′ | {12,8}24 | 48 / 32 / 192 |
1,3 | | R57.42′ | 0 | 0 |
R57.18 | {6,24}8 | 16 / 64 / 192 |
4,1 | | R57.18 | 0 | 0 |
R57.18′ | {24,6}8 | 64 / 16 / 192 |
1,4 | | R57.18′ | 0 | 0 |
R57.19 | {6,24}16 | 16 / 64 / 192 |
4,2 | | R57.19 | 0 | 0 |
R57.19′ | {24,6}16 | 64 / 16 / 192 |
2,4 | | R57.19′ | 0 | 0 |
C57.3 | {12,12}28 | 28 / 28 / 168 |
2,2 | | C57.3 | 0 | 0 |
C57.3′ | {12,12}28 | 28 / 28 / 168 |
2,2 | | C57.3′ | 0 | 0 |
R57.51 | {10,20}8 | 16 / 32 / 160 |
4,2 | | R57.51 | 0 | 0 |
R57.51′ | {20,10}8 | 32 / 16 / 160 |
2,4 | | R57.51′ | 0 | 0 |
R57.52 | {10,20}4 | 16 / 32 / 160 |
4,2 | | R57.52 | 0 | 0 |
R57.52′ | {20,10}4 | 32 / 16 / 160 |
2,4 | | R57.52′ | 0 | 0 |
R57.43 | {8,40}40 | 8 / 40 / 160 |
20,4 | | R57.43 | 0 | 0 |
R57.43′ | {40,8}40 | 40 / 8 / 160 |
4,20 | | R57.43′ | 0 | 0 |
R57.44 | {8,40}40 | 8 / 40 / 160 |
10,4 | | R57.44 | 0 | 0 |
R57.44′ | {40,8}40 | 40 / 8 / 160 |
4,10 | | R57.44′ | 0 | 0 |
R57.45 | {8,40}40 | 8 / 40 / 160 |
10,2 | | R57.45 | 0 | 0 |
R57.45′ | {40,8}40 | 40 / 8 / 160 |
2,10 | | R57.45′ | 0 | 0 |
R57.46 | {8,40}20 | 8 / 40 / 160 |
10,2 | | R57.46 | 0 | 0 |
R57.46′ | {40,8}20 | 40 / 8 / 160 |
2,10 | | R57.46′ | 0 | 0 |
R57.47 | {8,40}40 | 8 / 40 / 160 |
10,2 | | R57.47 | 0 | 0 |
R57.47′ | {40,8}40 | 40 / 8 / 160 |
2,10 | | R57.47′ | 0 | 0 |
R57.48 | {8,40}40 | 8 / 40 / 160 |
20,2 | | R57.48 | 0 | 0 |
R57.48′ | {40,8}40 | 40 / 8 / 160 |
2,20 | | R57.48′ | 0 | 0 |
R57.49 | {8,152}38 | 2 / 38 / 152 |
152,4 | | R57.49 | 0 | 0 |
R57.49′ | {152,8}38 | 38 / 2 / 152 |
4,152 | | R57.49′ | 0 | 0 |
R57.50 | {8,152}76 | 2 / 38 / 152 |
152,4 | | R57.50 | 0 | 0 |
R57.50′ | {152,8}76 | 38 / 2 / 152 |
4,152 | | R57.50′ | 0 | 0 |
R57.53 | {14,21}42 | 14 / 21 / 147 |
3,7 | | R57.53 | 0 | 0 |
R57.53′ | {21,14}42 | 21 / 14 / 147 |
7,3 | | R57.53′ | 0 | 0 |
R57.55 | {18,18}8 | 16 / 16 / 144 |
3,3 | | R57.55 | 0 | 0 |
R57.56 | {18,18}4 | 16 / 16 / 144 |
3,3 | | R57.56 | 0 | 0 |
R57.54 | {14,133}38 | 2 / 19 / 133 |
133,7 | | R57.54 | 0 | 0 |
R57.54′ | {133,14}38 | 19 / 2 / 133 |
7,133 | | R57.54′ | 0 | 0 |
R57.57 | {32,32}16 | 8 / 8 / 128 |
8,16 | | R57.57 | 0 | 0 |
R57.57′ | {32,32}16 | 8 / 8 / 128 |
16,8 | | R57.57′ | 0 | 0 |
R57.58 | {32,32}8 | 8 / 8 / 128 |
8,16 | | R57.58 | 0 | 0 |
R57.58′ | {32,32}8 | 8 / 8 / 128 |
16,8 | | R57.58′ | 0 | 0 |
R57.59 | {32,32}16 | 8 / 8 / 128 |
8,16 | | R57.59 | 0 | 0 |
R57.59′ | {32,32}16 | 8 / 8 / 128 |
16,8 | | R57.59′ | 0 | 0 |
R57.60 | {32,32}8 | 8 / 8 / 128 |
8,16 | | R57.60 | 0 | 0 |
R57.60′ | {32,32}8 | 8 / 8 / 128 |
16,8 | | R57.60′ | 0 | 0 |
R57.61 | {32,32}8 | 8 / 8 / 128 |
8,8 | | R57.61 | 0 | 0 |
R57.62 | {32,32}4 | 8 / 8 / 128 |
8,8 | | R57.62 | 0 | 0 |
R57.63 | {32,32}4 | 8 / 8 / 128 |
8,8 | | R57.63 | 0 | 0 |
R57.64 | {32,32}8 | 8 / 8 / 128 |
8,8 | | R57.64 | 0 | 0 |
R57.67 | {60,60}4 | 4 / 4 / 120 |
20,20 | ξ° | R57.67 | 0 | 0 |
R57.68 | {60,60}4 | 4 / 4 / 120 |
20,20 | ξ° | R57.68 | 0 | 0 |
R57.69 | {60,60}4 | 4 / 4 / 120 |
30,30 | θ° | R57.69 | 0 | 0 |
R57.65 | {40,120}6 | 2 / 6 / 120 |
120,20 | ε° | R57.65 | 0 | 0 |
R57.65′ | {120,40}6 | 6 / 2 / 120 |
20,120 | ε°' | R57.65′ | (see ser ε°') | 0 |
R57.66 | {40,120}12 | 2 / 6 / 120 |
120,20 | | R57.66 | 0 | 0 |
R57.66′ | {120,40}12 | 6 / 2 / 120 |
20,120 | | R57.66′ | 0 | 0 |
R57.71 | {116,116}2 | 2 / 2 / 116 |
116,116 | γ | R57.71 | 0 | 0 |
R57.70 | {115,230}2 | 1 / 2 / 115 |
230,115 | α | R57.70 | 0 | 0 |
R57.70′ | {230,115}2 | 2 / 1 / 115 |
115,230 | α' | R57.70′ | (see ser α') | 0 |
R57.72 | {228,228}2 | 1 / 1 / 114 |
228,228 | β | R57.72 | 0 | 0 |
Other Regular Maps
General Index