Regular maps in the orientable surface of genus 57

NameSchläfliV / F / EmV, mFnotes C&D no.imageswire-
frames
R57.2{4,6}8224 / 336 / 672 1,1 replete singular R57.200
R57.2′{6,4}8336 / 224 / 672 1,1 replete singular R57.2′00
C57.1{3,12}56112 / 448 / 672 2,1 replete Chiral C57.100
C57.1′{12,3}56448 / 112 / 672 1,2 replete Chiral C57.1′00
R57.1{3,18}1456 / 336 / 504 2,1 replete R57.100
R57.1′{18,3}14336 / 56 / 504 1,2 replete R57.1′00
C57.2{6,6}56112 / 112 / 336 1,1 replete singular Chiral C57.200
C57.2′{6,6}56112 / 112 / 336 1,1 replete singular Chiral C57.2′00
R57.15{6,6}8112 / 112 / 336 1,1 replete singular R57.1500
R57.14{5,8}2080 / 128 / 320 2,1 replete R57.1400
R57.14′{8,5}20128 / 80 / 320 1,2 replete R57.14′00
R57.3{4,18}1832 / 144 / 288 3,1 replete R57.300
R57.3′{18,4}18144 / 32 / 288 1,3 replete R57.3′00
R57.4{4,18}7232 / 144 / 288 3,1 replete R57.400
R57.4′{18,4}72144 / 32 / 288 1,3 replete R57.4′00
R57.5{4,32}3216 / 128 / 256 8,1 replete R57.500
R57.5′{32,4}32128 / 16 / 256 1,8 replete R57.5′00
R57.6{4,32}3216 / 128 / 256 8,1 replete R57.600
R57.6′{32,4}32128 / 16 / 256 1,8 replete R57.6′00
R57.7{4,32}3216 / 128 / 256 8,1 replete R57.700
R57.7′{32,4}32128 / 16 / 256 1,8 replete R57.7′00
R57.8{4,32}3216 / 128 / 256 8,1 replete R57.800
R57.8′{32,4}32128 / 16 / 256 1,8 replete R57.8′00
R57.16{6,10}1048 / 80 / 240 1,1 replete singular R57.1600
R57.16′{10,6}1080 / 48 / 240 1,1 replete singular R57.16′00
R57.17{6,10}848 / 80 / 240 2,1 replete R57.1700
R57.17′{10,6}880 / 48 / 240 1,2 replete R57.17′00
R57.10{4,60}308 / 120 / 240 20,1 replete R57.1000
R57.10′{60,4}30120 / 8 / 240 1,20 replete R57.10′00
R57.11{4,60}608 / 120 / 240 15,1 replete R57.1100
R57.11′{60,4}60120 / 8 / 240 1,15 replete R57.11′00
R57.9{4,60}608 / 120 / 240 20,1 replete R57.900
R57.9′{60,4}60120 / 8 / 240 1,20 replete R57.9′00
R57.12{4,116}1164 / 116 / 232 58,2θ replete R57.1200
R57.12′{116,4}116116 / 4 / 232 2,58θ' replete R57.12′(see ser θ')0
R57.13{4,228}1142 / 114 / 228 228,2ζ'°' Faces share vertices with themselves R57.1300
R57.13′{228,4}114114 / 2 / 228 2,228ζ'° Faces share vertices with themselves R57.13′(see ser ζ'°)0
R57.20{8,12}632 / 48 / 192 4,1 replete R57.2000
R57.20′{12,8}648 / 32 / 192 1,4 replete R57.20′00
R57.21{8,12}1232 / 48 / 192 4,1 replete R57.2100
R57.21′{12,8}1248 / 32 / 192 1,4 replete R57.21′00
R57.22{8,12}1232 / 48 / 192 4,1 replete R57.2200
R57.22′{12,8}1248 / 32 / 192 1,4 replete R57.22′00
R57.23{8,12}632 / 48 / 192 4,1 replete R57.2300
R57.23′{12,8}648 / 32 / 192 1,4 replete R57.23′00
R57.24{8,12}1232 / 48 / 192 2,2 replete R57.2400
R57.24′{12,8}1248 / 32 / 192 2,2 replete R57.24′00
R57.25{8,12}2432 / 48 / 192 2,2 replete R57.2500
R57.25′{12,8}2448 / 32 / 192 2,2 replete R57.25′00
R57.26{8,12}1232 / 48 / 192 2,2 replete R57.2600
R57.26′{12,8}1248 / 32 / 192 2,2 replete R57.26′00
R57.27{8,12}632 / 48 / 192 2,2 replete R57.2700
R57.27′{12,8}648 / 32 / 192 2,2 replete R57.27′00
R57.28{8,12}1232 / 48 / 192 2,2 replete R57.2800
R57.28′{12,8}1248 / 32 / 192 2,2 replete R57.28′00
R57.29{8,12}632 / 48 / 192 2,2 replete R57.2900
R57.29′{12,8}648 / 32 / 192 2,2 replete R57.29′00
R57.30{8,12}632 / 48 / 192 2,1 replete R57.3000
R57.30′{12,8}648 / 32 / 192 1,2 replete R57.30′00
R57.31{8,12}1232 / 48 / 192 2,1 replete R57.3100
R57.31′{12,8}1248 / 32 / 192 1,2 replete R57.31′00
R57.32{8,12}632 / 48 / 192 2,1 replete R57.3200
R57.32′{12,8}648 / 32 / 192 1,2 replete R57.32′00
R57.33{8,12}1232 / 48 / 192 2,1 replete R57.3300
R57.33′{12,8}1248 / 32 / 192 1,2 replete R57.33′00
R57.34{8,12}2432 / 48 / 192 1,2 replete R57.3400
R57.34′{12,8}2448 / 32 / 192 2,1 replete R57.34′00
R57.35{8,12}1232 / 48 / 192 1,2 replete R57.3500
R57.35′{12,8}1248 / 32 / 192 2,1 replete R57.35′00
R57.36{8,12}2432 / 48 / 192 2,2 replete R57.3600
R57.36′{12,8}2448 / 32 / 192 2,2 replete R57.36′00
R57.37{8,12}2432 / 48 / 192 2,2 replete R57.3700
R57.37′{12,8}2448 / 32 / 192 2,2 replete R57.37′00
R57.38{8,12}2432 / 48 / 192 2,2 replete R57.3800
R57.38′{12,8}2448 / 32 / 192 2,2 replete R57.38′00
R57.39{8,12}2432 / 48 / 192 3,2 replete R57.3900
R57.39′{12,8}2448 / 32 / 192 2,3 replete R57.39′00
R57.40{8,12}2432 / 48 / 192 3,2 replete R57.4000
R57.40′{12,8}2448 / 32 / 192 2,3 replete R57.40′00
R57.41{8,12}1232 / 48 / 192 3,1 replete R57.4100
R57.41′{12,8}1248 / 32 / 192 1,3 replete R57.41′00
R57.42{8,12}2432 / 48 / 192 3,1 replete R57.4200
R57.42′{12,8}2448 / 32 / 192 1,3 replete R57.42′00
R57.18{6,24}816 / 64 / 192 4,1 replete R57.1800
R57.18′{24,6}864 / 16 / 192 1,4 replete R57.18′00
R57.19{6,24}1616 / 64 / 192 4,2 replete R57.1900
R57.19′{24,6}1664 / 16 / 192 2,4 replete R57.19′00
C57.3{12,12}2828 / 28 / 168 2,2 replete Chiral C57.300
C57.3′{12,12}2828 / 28 / 168 2,2 replete Chiral C57.3′00
R57.51{10,20}816 / 32 / 160 4,2 replete R57.5100
R57.51′{20,10}832 / 16 / 160 2,4 replete R57.51′00
R57.52{10,20}416 / 32 / 160 4,2 replete R57.5200
R57.52′{20,10}432 / 16 / 160 2,4 replete R57.52′00
R57.43{8,40}408 / 40 / 160 20,4 replete R57.4300
R57.43′{40,8}4040 / 8 / 160 4,20 replete R57.43′00
R57.44{8,40}408 / 40 / 160 10,4 replete R57.4400
R57.44′{40,8}4040 / 8 / 160 4,10 replete R57.44′00
R57.45{8,40}408 / 40 / 160 10,2 replete R57.4500
R57.45′{40,8}4040 / 8 / 160 2,10 replete R57.45′00
R57.46{8,40}208 / 40 / 160 10,2 replete R57.4600
R57.46′{40,8}2040 / 8 / 160 2,10 replete R57.46′00
R57.47{8,40}408 / 40 / 160 10,2 replete R57.4700
R57.47′{40,8}4040 / 8 / 160 2,10 replete R57.47′00
R57.48{8,40}408 / 40 / 160 20,2 replete R57.4800
R57.48′{40,8}4040 / 8 / 160 2,20 replete R57.48′00
R57.49{8,152}382 / 38 / 152 152,4 R57.4900
R57.49′{152,8}3838 / 2 / 152 4,152 R57.49′00
R57.50{8,152}762 / 38 / 152 152,4 R57.5000
R57.50′{152,8}7638 / 2 / 152 4,152 R57.50′00
R57.53{14,21}4214 / 21 / 147 3,7 replete R57.5300
R57.53′{21,14}4221 / 14 / 147 7,3 replete R57.53′00
R57.55{18,18}816 / 16 / 144 3,3 replete R57.5500
R57.56{18,18}416 / 16 / 144 3,3 replete R57.5600
R57.54{14,133}382 / 19 / 133 133,7 R57.5400
R57.54′{133,14}3819 / 2 / 133 7,133 R57.54′00
R57.57{32,32}168 / 8 / 128 8,16 replete R57.5700
R57.57′{32,32}168 / 8 / 128 16,8 replete R57.57′00
R57.58{32,32}88 / 8 / 128 8,16 replete R57.5800
R57.58′{32,32}88 / 8 / 128 16,8 replete R57.58′00
R57.59{32,32}168 / 8 / 128 8,16 replete R57.5900
R57.59′{32,32}168 / 8 / 128 16,8 replete R57.59′00
R57.60{32,32}88 / 8 / 128 8,16 replete R57.6000
R57.60′{32,32}88 / 8 / 128 16,8 replete R57.60′00
R57.61{32,32}88 / 8 / 128 8,8 replete R57.6100
R57.62{32,32}48 / 8 / 128 8,8 replete R57.6200
R57.63{32,32}48 / 8 / 128 8,8 replete R57.6300
R57.64{32,32}88 / 8 / 128 8,8 replete R57.6400
R57.67{60,60}44 / 4 / 120 20,20ξ° replete R57.6700
R57.68{60,60}44 / 4 / 120 20,20ξ° replete R57.6800
R57.69{60,60}44 / 4 / 120 30,30θ° replete R57.6900
R57.65{40,120}62 / 6 / 120 120,20ε° R57.6500
R57.65′{120,40}66 / 2 / 120 20,120ε°' R57.65′(see ser ε°')0
R57.66{40,120}122 / 6 / 120 120,20 R57.6600
R57.66′{120,40}126 / 2 / 120 20,120 R57.66′00
R57.71{116,116}22 / 2 / 116 116,116γ trivial Faces share vertices with themselves R57.7100
R57.70{115,230}21 / 2 / 115 230,115α trivial Faces share vertices with themselves Vertices share edges with themselves R57.7000
R57.70′{230,115}22 / 1 / 115 115,230α' trivial Faces share vertices with themselves Faces share edges with themselves R57.70′(see ser α')0
R57.72{228,228}21 / 1 / 114 228,228β trivial Faces share edges with themselves Faces share vertices with themselves Vertices share edges with themselves R57.7200

Other Regular Maps

General Index