Regular maps in the orientable surface of genus 85
Name | Schläfli | V / F / E | mV, mF | notes |
C&D no. | images | wire- frames |
R85.1 | {3,8}42 | 504 / 1344 / 2016 |
1,1 | | R85.1 | 0 | 0 |
R85.1′ | {8,3}42 | 1344 / 504 / 2016 |
1,1 | | R85.1′ | 0 | 0 |
R85.2 | {3,8}24 | 504 / 1344 / 2016 |
1,1 | | R85.2 | 0 | 0 |
R85.2′ | {8,3}24 | 1344 / 504 / 2016 |
1,1 | | R85.2′ | 0 | 0 |
R85.6 | {4,6}24 | 336 / 504 / 1008 |
1,1 | | R85.6 | 0 | 0 |
R85.6′ | {6,4}24 | 504 / 336 / 1008 |
1,1 | | R85.6′ | 0 | 0 |
C85.1 | {3,12}84 | 168 / 672 / 1008 |
1,1 | | C85.1 | 0 | 0 |
C85.1′ | {12,3}84 | 672 / 168 / 1008 |
1,1 | | C85.1′ | 0 | 0 |
R85.3 | {3,20}30 | 72 / 480 / 720 |
1,1 | | R85.3 | 0 | 0 |
R85.3′ | {20,3}30 | 480 / 72 / 720 |
1,1 | | R85.3′ | 0 | 0 |
R85.10 | {4,8}12 | 168 / 336 / 672 |
1,1 | | R85.10 | 0 | 0 |
R85.10′ | {8,4}12 | 336 / 168 / 672 |
1,1 | | R85.10′ | 0 | 0 |
R85.11 | {4,8}12 | 168 / 336 / 672 |
1,1 | | R85.11 | 0 | 0 |
R85.11′ | {8,4}12 | 336 / 168 / 672 |
1,1 | | R85.11′ | 0 | 0 |
R85.12 | {4,8}6 | 168 / 336 / 672 |
1,1 | | R85.12 | 0 | 0 |
R85.12′ | {8,4}6 | 336 / 168 / 672 |
1,1 | | R85.12′ | 0 | 0 |
R85.7 | {4,8}28 | 168 / 336 / 672 |
1,1 | | R85.7 | 0 | 0 |
R85.7′ | {8,4}28 | 336 / 168 / 672 |
1,1 | | R85.7′ | 0 | 0 |
R85.8 | {4,8}28 | 168 / 336 / 672 |
1,1 | | R85.8 | 0 | 0 |
R85.8′ | {8,4}28 | 336 / 168 / 672 |
1,1 | | R85.8′ | 0 | 0 |
R85.9 | {4,8}14 | 168 / 336 / 672 |
1,1 | | R85.9 | 0 | 0 |
R85.9′ | {8,4}14 | 336 / 168 / 672 |
1,1 | | R85.9′ | 0 | 0 |
R85.4 | {3,48}6 | 24 / 384 / 576 |
3,1 | | R85.4 | 0 | 0 |
R85.4′ | {48,3}6 | 384 / 24 / 576 |
1,3 | | R85.4′ | 0 | 0 |
R85.5 | {3,48}24 | 24 / 384 / 576 |
6,1 | | R85.5 | 0 | 0 |
R85.5′ | {48,3}24 | 384 / 24 / 576 |
1,6 | | R85.5′ | 0 | 0 |
C85.2 | {6,6}84 | 168 / 168 / 504 |
1,1 | | C85.2 | 0 | 0 |
C85.2′ | {6,6}84 | 168 / 168 / 504 |
1,1 | | C85.2′ | 0 | 0 |
C85.3 | {6,6}84 | 168 / 168 / 504 |
2,1 | | C85.3 | 0 | 0 |
C85.3′ | {6,6}84 | 168 / 168 / 504 |
1,2 | | C85.3′ | 0 | 0 |
R85.20 | {6,6}8 | 168 / 168 / 504 |
1,1 | | R85.20 | 0 | 0 |
R85.13 | {4,25}50 | 32 / 200 / 400 |
5,1 | | R85.13 | 0 | 0 |
R85.13′ | {25,4}50 | 200 / 32 / 400 |
1,5 | | R85.13′ | 0 | 0 |
R85.14 | {4,28}4 | 28 / 196 / 392 |
2,1 | λ | R85.14 | 0 | 0 |
R85.14′ | {28,4}4 | 196 / 28 / 392 |
1,2 | λ' | R85.14′ | (see ser λ') | 0 |
R85.21 | {6,10}30 | 72 / 120 / 360 |
1,2 | | R85.21 | 0 | 0 |
R85.21′ | {10,6}30 | 120 / 72 / 360 |
2,1 | | R85.21′ | 0 | 0 |
R85.22 | {6,10}12 | 72 / 120 / 360 |
1,1 | | R85.22 | 0 | 0 |
R85.22′ | {10,6}12 | 120 / 72 / 360 |
1,1 | | R85.22′ | 0 | 0 |
R85.15 | {4,60}20 | 12 / 180 / 360 |
10,1 | | R85.15 | 0 | 0 |
R85.15′ | {60,4}20 | 180 / 12 / 360 |
1,10 | | R85.15′ | 0 | 0 |
R85.16 | {4,88}88 | 8 / 176 / 352 |
22,1 | | R85.16 | 0 | 0 |
R85.16′ | {88,4}88 | 176 / 8 / 352 |
1,22 | | R85.16′ | 0 | 0 |
R85.17 | {4,88}44 | 8 / 176 / 352 |
22,1 | | R85.17 | 0 | 0 |
R85.17′ | {88,4}44 | 176 / 8 / 352 |
1,22 | | R85.17′ | 0 | 0 |
R85.18 | {4,172}172 | 4 / 172 / 344 |
86,2 | θ | R85.18 | 0 | 0 |
R85.18′ | {172,4}172 | 172 / 4 / 344 |
2,86 | θ' | R85.18′ | (see ser θ') | 0 |
R85.19 | {4,340}170 | 2 / 170 / 340 |
340,2 | ζ'°' | R85.19 | 0 | 0 |
R85.19′ | {340,4}170 | 170 / 2 / 340 |
2,340 | ζ'° | R85.19′ | (see ser ζ'°) | 0 |
R85.41 | {8,8}6 | 84 / 84 / 336 |
1,1 | | R85.41 | 0 | 0 |
R85.42 | {8,8}6 | 84 / 84 / 336 |
1,1 | | R85.42 | 0 | 0 |
R85.43 | {8,8}6 | 84 / 84 / 336 |
1,1 | | R85.43 | 0 | 0 |
R85.44 | {8,8}8 | 84 / 84 / 336 |
1,1 | | R85.44 | 0 | 0 |
R85.45 | {8,8}8 | 84 / 84 / 336 |
1,1 | | R85.45 | 0 | 0 |
R85.46 | {8,8}8 | 84 / 84 / 336 |
1,1 | | R85.46 | 0 | 0 |
C85.4 | {6,12}56 | 56 / 112 / 336 |
2,2 | | C85.4 | 0 | 0 |
C85.4′ | {12,6}56 | 112 / 56 / 336 |
2,2 | | C85.4′ | 0 | 0 |
C85.5 | {6,12}28 | 56 / 112 / 336 |
2,1 | | C85.5 | 0 | 0 |
C85.5′ | {12,6}28 | 112 / 56 / 336 |
1,2 | | C85.5′ | 0 | 0 |
C85.6 | {6,12}56 | 56 / 112 / 336 |
4,1 | | C85.6 | 0 | 0 |
C85.6′ | {12,6}56 | 112 / 56 / 336 |
1,4 | | C85.6′ | 0 | 0 |
C85.7 | {6,12}28 | 56 / 112 / 336 |
4,1 | | C85.7 | 0 | 0 |
C85.7′ | {12,6}28 | 112 / 56 / 336 |
1,4 | | C85.7′ | 0 | 0 |
C85.8 | {6,15}210 | 42 / 105 / 315 |
5,1 | | C85.8 | 0 | 0 |
C85.8′ | {15,6}210 | 105 / 42 / 315 |
1,5 | | C85.8′ | 0 | 0 |
R85.47 | {8,12}8 | 48 / 72 / 288 |
1,2 | | R85.47 | 0 | 0 |
R85.47′ | {12,8}8 | 72 / 48 / 288 |
2,1 | | R85.47′ | 0 | 0 |
R85.48 | {8,12}4 | 48 / 72 / 288 |
1,2 | | R85.48 | 0 | 0 |
R85.48′ | {12,8}4 | 72 / 48 / 288 |
2,1 | | R85.48′ | 0 | 0 |
R85.23 | {6,24}24 | 24 / 96 / 288 |
2,2 | | R85.23 | 0 | 0 |
R85.23′ | {24,6}24 | 96 / 24 / 288 |
2,2 | | R85.23′ | 0 | 0 |
R85.24 | {6,24}12 | 24 / 96 / 288 |
2,2 | | R85.24 | 0 | 0 |
R85.24′ | {24,6}12 | 96 / 24 / 288 |
2,2 | | R85.24′ | 0 | 0 |
R85.25 | {6,24}12 | 24 / 96 / 288 |
4,1 | | R85.25 | 0 | 0 |
R85.25′ | {24,6}12 | 96 / 24 / 288 |
1,4 | | R85.25′ | 0 | 0 |
R85.26 | {6,24}24 | 24 / 96 / 288 |
4,1 | | R85.26 | 0 | 0 |
R85.26′ | {24,6}24 | 96 / 24 / 288 |
1,4 | | R85.26′ | 0 | 0 |
R85.27 | {6,24}12 | 24 / 96 / 288 |
3,2 | | R85.27 | 0 | 0 |
R85.27′ | {24,6}12 | 96 / 24 / 288 |
2,3 | | R85.27′ | 0 | 0 |
R85.28 | {6,24}6 | 24 / 96 / 288 |
3,2 | | R85.28 | 0 | 0 |
R85.28′ | {24,6}6 | 96 / 24 / 288 |
2,3 | | R85.28′ | 0 | 0 |
R85.29 | {6,24}6 | 24 / 96 / 288 |
3,1 | | R85.29 | 0 | 0 |
R85.29′ | {24,6}6 | 96 / 24 / 288 |
1,3 | | R85.29′ | 0 | 0 |
R85.30 | {6,24}12 | 24 / 96 / 288 |
6,1 | | R85.30 | 0 | 0 |
R85.30′ | {24,6}12 | 96 / 24 / 288 |
1,6 | | R85.30′ | 0 | 0 |
R85.31 | {6,24}24 | 24 / 96 / 288 |
6,1 | | R85.31 | 0 | 0 |
R85.31′ | {24,6}24 | 96 / 24 / 288 |
1,6 | | R85.31′ | 0 | 0 |
R85.32 | {6,24}24 | 24 / 96 / 288 |
8,1 | | R85.32 | 0 | 0 |
R85.32′ | {24,6}24 | 96 / 24 / 288 |
1,8 | | R85.32′ | 0 | 0 |
R85.33 | {6,24}12 | 24 / 96 / 288 |
8,1 | | R85.33 | 0 | 0 |
R85.33′ | {24,6}12 | 96 / 24 / 288 |
1,8 | | R85.33′ | 0 | 0 |
R85.34 | {6,24}6 | 24 / 96 / 288 |
3,1 | | R85.34 | 0 | 0 |
R85.34′ | {24,6}6 | 96 / 24 / 288 |
1,3 | | R85.34′ | 0 | 0 |
R85.35 | {6,24}6 | 24 / 96 / 288 |
3,1 | | R85.35 | 0 | 0 |
R85.35′ | {24,6}6 | 96 / 24 / 288 |
1,3 | | R85.35′ | 0 | 0 |
R85.36 | {6,24}24 | 24 / 96 / 288 |
6,1 | | R85.36 | 0 | 0 |
R85.36′ | {24,6}24 | 96 / 24 / 288 |
1,6 | | R85.36′ | 0 | 0 |
R85.37 | {6,24}12 | 24 / 96 / 288 |
6,1 | | R85.37 | 0 | 0 |
R85.37′ | {24,6}12 | 96 / 24 / 288 |
1,6 | | R85.37′ | 0 | 0 |
C85.9 | {6,39}182 | 14 / 91 / 273 |
13,1 | | C85.9 | 0 | 0 |
C85.9′ | {39,6}182 | 91 / 14 / 273 |
1,13 | | C85.9′ | 0 | 0 |
R85.38 | {6,66}44 | 8 / 88 / 264 |
22,1 | | R85.38 | 0 | 0 |
R85.38′ | {66,6}44 | 88 / 8 / 264 |
1,22 | | R85.38′ | 0 | 0 |
R85.39 | {6,87}174 | 6 / 87 / 261 |
29,3 | | R85.39 | 0 | 0 |
R85.39′ | {87,6}174 | 87 / 6 / 261 |
3,29 | | R85.39′ | 0 | 0 |
R85.40 | {6,255}170 | 2 / 85 / 255 |
255,3 | δ | R85.40 | 0 | 0 |
R85.40′ | {255,6}170 | 85 / 2 / 255 |
3,255 | δ' | R85.40′ | (see ser δ') | 0 |
C85.11 | {12,12}42 | 42 / 42 / 252 |
2,4 | | C85.11 | 0 | 0 |
C85.11′ | {12,12}42 | 42 / 42 / 252 |
4,2 | | C85.11′ | 0 | 0 |
C85.12 | {12,12}42 | 42 / 42 / 252 |
2,2 | | C85.12 | 0 | 0 |
C85.12′ | {12,12}42 | 42 / 42 / 252 |
2,2 | | C85.12′ | 0 | 0 |
C85.10 | {9,18}28 | 28 / 56 / 252 |
3,3 | | C85.10 | 0 | 0 |
C85.10′ | {18,9}28 | 56 / 28 / 252 |
3,3 | | C85.10′ | 0 | 0 |
R85.51 | {12,15}10 | 32 / 40 / 240 |
3,3 | | R85.51 | 0 | 0 |
R85.51′ | {15,12}10 | 40 / 32 / 240 |
3,3 | | R85.51′ | 0 | 0 |
R85.49 | {10,20}12 | 24 / 48 / 240 |
4,2 | | R85.49 | 0 | 0 |
R85.49′ | {20,10}12 | 48 / 24 / 240 |
2,4 | | R85.49′ | 0 | 0 |
R85.50 | {10,20}12 | 24 / 48 / 240 |
4,1 | | R85.50 | 0 | 0 |
R85.50′ | {20,10}12 | 48 / 24 / 240 |
1,4 | | R85.50′ | 0 | 0 |
R85.55 | {18,18}12 | 24 / 24 / 216 |
6,3 | | R85.55 | 0 | 0 |
R85.55′ | {18,18}12 | 24 / 24 / 216 |
3,6 | | R85.55′ | 0 | 0 |
C85.13 | {12,36}36 | 12 / 36 / 216 |
6,2 | | C85.13 | 0 | 0 |
C85.13′ | {36,12}36 | 36 / 12 / 216 |
2,6 | | C85.13′ | 0 | 0 |
R85.52 | {12,36}36 | 12 / 36 / 216 |
18,6 | | R85.52 | 0 | 0 |
R85.52′ | {36,12}36 | 36 / 12 / 216 |
6,18 | | R85.52′ | 0 | 0 |
R85.53 | {12,36}36 | 12 / 36 / 216 |
6,6 | | R85.53 | 0 | 0 |
R85.53′ | {36,12}36 | 36 / 12 / 216 |
6,6 | | R85.53′ | 0 | 0 |
R85.54 | {12,204}34 | 2 / 34 / 204 |
204,6 | | R85.54 | 0 | 0 |
R85.54′ | {204,12}34 | 34 / 2 / 204 |
6,204 | | R85.54′ | 0 | 0 |
R85.65 | {25,25}4 | 16 / 16 / 200 |
5,5 | | R85.65 | 0 | 0 |
R85.66 | {28,28}14 | 14 / 14 / 196 |
14,4 | | R85.66 | 0 | 0 |
R85.66′ | {28,28}14 | 14 / 14 / 196 |
4,14 | | R85.66′ | 0 | 0 |
R85.67 | {28,28}14 | 14 / 14 / 196 |
14,14 | | R85.67 | 0 | 0 |
R85.57 | {24,48}16 | 8 / 16 / 192 |
24,6 | | R85.57 | 0 | 0 |
R85.57′ | {48,24}16 | 16 / 8 / 192 |
6,24 | | R85.57′ | 0 | 0 |
R85.58 | {24,48}16 | 8 / 16 / 192 |
24,12 | | R85.58 | 0 | 0 |
R85.58′ | {48,24}16 | 16 / 8 / 192 |
12,24 | | R85.58′ | 0 | 0 |
R85.59 | {24,48}16 | 8 / 16 / 192 |
24,3 | | R85.59 | 0 | 0 |
R85.59′ | {48,24}16 | 16 / 8 / 192 |
3,24 | | R85.59′ | 0 | 0 |
R85.60 | {24,48}16 | 8 / 16 / 192 |
24,3 | | R85.60 | 0 | 0 |
R85.60′ | {48,24}16 | 16 / 8 / 192 |
3,24 | | R85.60′ | 0 | 0 |
R85.61 | {24,48}16 | 8 / 16 / 192 |
12,6 | | R85.61 | 0 | 0 |
R85.61′ | {48,24}16 | 16 / 8 / 192 |
6,12 | | R85.61′ | 0 | 0 |
R85.62 | {24,48}16 | 8 / 16 / 192 |
12,6 | | R85.62 | 0 | 0 |
R85.62′ | {48,24}16 | 16 / 8 / 192 |
6,12 | | R85.62′ | 0 | 0 |
R85.63 | {24,48}16 | 8 / 16 / 192 |
12,12 | | R85.63 | 0 | 0 |
R85.63′ | {48,24}16 | 16 / 8 / 192 |
12,12 | | R85.63′ | 0 | 0 |
R85.64 | {24,48}16 | 8 / 16 / 192 |
12,6 | | R85.64 | 0 | 0 |
R85.64′ | {48,24}16 | 16 / 8 / 192 |
6,12 | | R85.64′ | 0 | 0 |
C85.14 | {27,54}14 | 7 / 14 / 189 |
9,9 | | C85.14 | 0 | 0 |
C85.14′ | {54,27}14 | 14 / 7 / 189 |
9,9 | | C85.14′ | 0 | 0 |
R85.56 | {22,187}34 | 2 / 17 / 187 |
187,11 | | R85.56 | 0 | 0 |
R85.56′ | {187,22}34 | 17 / 2 / 187 |
11,187 | | R85.56′ | 0 | 0 |
R85.70 | {60,60}6 | 6 / 6 / 180 |
20,30 | | R85.70 | 0 | 0 |
R85.70′ | {60,60}6 | 6 / 6 / 180 |
30,20 | | R85.70′ | 0 | 0 |
R85.71 | {60,60}6 | 6 / 6 / 180 |
30,30 | | R85.71 | 0 | 0 |
R85.69 | {45,90}4 | 4 / 8 / 180 |
30,15 | | R85.69 | 0 | 0 |
R85.69′ | {90,45}4 | 8 / 4 / 180 |
15,30 | | R85.69′ | 0 | 0 |
R85.68 | {36,180}10 | 2 / 10 / 180 |
180,18 | | R85.68 | 0 | 0 |
R85.68′ | {180,36}10 | 10 / 2 / 180 |
18,180 | | R85.68′ | 0 | 0 |
R85.72 | {88,88}4 | 4 / 4 / 176 |
44,44 | | R85.72 | 0 | 0 |
R85.73 | {88,88}4 | 4 / 4 / 176 |
44,44 | | R85.73 | 0 | 0 |
R85.75 | {172,172}2 | 2 / 2 / 172 |
172,172 | γ | R85.75 | 0 | 0 |
R85.74 | {171,342}2 | 1 / 2 / 171 |
342,171 | α | R85.74 | 0 | 0 |
R85.74′ | {342,171}2 | 2 / 1 / 171 |
171,342 | α' | R85.74′ | (see ser α') | 0 |
R85.76 | {340,340}2 | 1 / 1 / 170 |
340,340 | β | R85.76 | 0 | 0 |
Other Regular Maps
General Index