Regular maps in the orientable surface of genus 64

NameSchläfliV / F / EmV, mFnotes C&D no.imageswire-
frames
C64.1{3,12}42126 / 504 / 756 1,1 replete singular Chiral C64.100
C64.1′{12,3}42504 / 126 / 756 1,1 replete singular Chiral C64.1′00
C64.2{3,18}4263 / 378 / 567 3,1 replete Chiral C64.200
C64.2′{18,3}42378 / 63 / 567 1,3 replete Chiral C64.2′00
C64.3{3,24}8442 / 336 / 504 2,1 replete Chiral C64.300
C64.3′{24,3}84336 / 42 / 504 1,2 replete Chiral C64.3′00
R64.1{3,24}1442 / 336 / 504 3,1 replete R64.100
R64.1′{24,3}14336 / 42 / 504 1,3 replete R64.1′00
R64.2{3,24}842 / 336 / 504 3,1 replete R64.200
R64.2′{24,3}8336 / 42 / 504 1,3 replete R64.2′00
R64.3{3,42}621 / 294 / 441 3,1 replete R64.300
R64.3′{42,3}6294 / 21 / 441 1,3 replete R64.3′00
C64.4{6,6}42126 / 126 / 378 1,1 replete singular Chiral C64.400
C64.4′{6,6}42126 / 126 / 378 1,1 replete singular Chiral C64.4′00
C64.5{6,6}42126 / 126 / 378 1,2 replete Chiral C64.500
C64.5′{6,6}42126 / 126 / 378 2,1 replete Chiral C64.5′00
C64.6{6,6}42126 / 126 / 378 1,1 replete singular Chiral C64.600
C64.6′{6,6}42126 / 126 / 378 1,1 replete singular Chiral C64.6′00
R64.8{5,8}890 / 144 / 360 1,1 replete singular R64.800
R64.8′{8,5}8144 / 90 / 360 1,1 replete singular R64.8′00
R64.9{5,8}490 / 144 / 360 1,1 replete singular R64.900
R64.9′{8,5}4144 / 90 / 360 1,1 replete singular R64.9′00
R64.4{4,18}436 / 162 / 324 1,1 replete singular R64.400
R64.4′{18,4}4162 / 36 / 324 1,1 replete singular R64.4′00
R64.5{4,18}3636 / 162 / 324 3,1 replete R64.500
R64.5′{18,4}36162 / 36 / 324 1,3 replete R64.5′00
R64.6{4,130}2604 / 130 / 260 65,2ζ replete R64.600
R64.6′{130,4}260130 / 4 / 260 2,65ζ' replete R64.6′(see ser ζ')0
R64.7{4,256}2562 / 128 / 256 256,2η Faces share vertices with themselves R64.700
R64.7′{256,4}256128 / 2 / 256 2,256η' Faces share vertices with themselves R64.7′(see ser η')0
C64.10{6,12}8442 / 84 / 252 2,1 replete Chiral C64.1000
C64.10′{12,6}8484 / 42 / 252 1,2 replete Chiral C64.10′00
C64.7{6,12}8442 / 84 / 252 2,1 replete Chiral C64.700
C64.7′{12,6}8484 / 42 / 252 1,2 replete Chiral C64.7′00
C64.8{6,12}8442 / 84 / 252 4,1 replete Chiral C64.800
C64.8′{12,6}8484 / 42 / 252 1,4 replete Chiral C64.8′00
C64.9{6,12}8442 / 84 / 252 2,1 replete Chiral C64.900
C64.9′{12,6}8484 / 42 / 252 1,2 replete Chiral C64.9′00
C64.13{8,12}2436 / 54 / 216 3,1 replete Chiral C64.1300
C64.13′{12,8}2454 / 36 / 216 1,3 replete Chiral C64.13′00
C64.14{8,12}836 / 54 / 216 3,1 replete Chiral C64.1400
C64.14′{12,8}854 / 36 / 216 1,3 replete Chiral C64.14′00
C64.15{8,12}2436 / 54 / 216 3,1 replete Chiral C64.1500
C64.15′{12,8}2454 / 36 / 216 1,3 replete Chiral C64.15′00
R64.23{8,12}2436 / 54 / 216 2,2 replete R64.2300
R64.23′{12,8}2454 / 36 / 216 2,2 replete R64.23′00
R64.24{8,12}2436 / 54 / 216 2,2 replete R64.2400
R64.24′{12,8}2454 / 36 / 216 2,2 replete R64.24′00
R64.10{6,24}818 / 72 / 216 6,1 replete R64.1000
R64.10′{24,6}872 / 18 / 216 1,6 replete R64.10′00
R64.11{6,24}2418 / 72 / 216 6,1 replete R64.1100
R64.11′{24,6}2472 / 18 / 216 1,6 replete R64.11′00
R64.12{6,24}2418 / 72 / 216 6,1 replete R64.1200
R64.12′{24,6}2472 / 18 / 216 1,6 replete R64.12′00
R64.13{6,24}818 / 72 / 216 6,1 replete R64.1300
R64.13′{24,6}872 / 18 / 216 1,6 replete R64.13′00
R64.14{6,24}2418 / 72 / 216 4,1 replete R64.1400
R64.14′{24,6}2472 / 18 / 216 1,4 replete R64.14′00
R64.15{6,24}2418 / 72 / 216 4,1 replete R64.1500
R64.15′{24,6}2472 / 18 / 216 1,4 replete R64.15′00
R64.16{6,24}2418 / 72 / 216 4,1 replete R64.1600
R64.16′{24,6}2472 / 18 / 216 1,4 replete R64.16′00
R64.17{6,24}2418 / 72 / 216 8,1 replete R64.1700
R64.17′{24,6}2472 / 18 / 216 1,8 replete R64.17′00
R64.18{6,24}1218 / 72 / 216 2,2 replete R64.1800
R64.18′{24,6}1272 / 18 / 216 2,2 replete R64.18′00
C64.11{6,30}7014 / 70 / 210 5,1 replete Chiral C64.1100
C64.11′{30,6}7070 / 14 / 210 1,5 replete Chiral C64.11′00
C64.12{6,30}7014 / 70 / 210 10,1 replete Chiral C64.1200
C64.12′{30,6}7070 / 14 / 210 1,10 replete Chiral C64.12′00
R64.19{6,66}666 / 66 / 198 33,1 replete R64.1900
R64.19′{66,6}6666 / 6 / 198 1,33 replete R64.19′00
R64.20{6,66}666 / 66 / 198 22,3 replete R64.2000
R64.20′{66,6}6666 / 6 / 198 3,22 replete R64.20′00
R64.21{6,66}666 / 66 / 198 33,3 replete R64.2100
R64.21′{66,6}6666 / 6 / 198 3,33 replete R64.21′00
R64.22{6,192}642 / 64 / 192 192,3ε Faces share vertices with themselves R64.2200
R64.22′{192,6}6464 / 2 / 192 3,192ε' Faces share vertices with themselves R64.22′(see ser ε')0
C64.16{9,18}4221 / 42 / 189 3,3 replete Chiral C64.1600
C64.16′{18,9}4242 / 21 / 189 3,3 replete Chiral C64.16′00
R64.27{12,15}3024 / 30 / 180 5,3 replete R64.2700
R64.27′{15,12}3030 / 24 / 180 3,5 replete R64.27′00
R64.28{12,15}624 / 30 / 180 3,3 replete R64.2800
R64.28′{15,12}630 / 24 / 180 3,3 replete R64.28′00
R64.25{10,34}17010 / 34 / 170 17,5 replete R64.2500
R64.25′{34,10}17034 / 10 / 170 5,17 replete R64.25′00
C64.17{12,24}5614 / 28 / 168 4,2 replete Chiral C64.1700
C64.17′{24,12}5628 / 14 / 168 2,4 replete Chiral C64.17′00
C64.18{12,24}5614 / 28 / 168 8,2 replete Chiral C64.1800
C64.18′{24,12}5628 / 14 / 168 2,8 replete Chiral C64.18′00
C64.19{18,18}1818 / 18 / 162 3,2 replete Chiral C64.1900
C64.19′{18,18}1818 / 18 / 162 2,3 replete Chiral C64.19′00
R64.30{18,18}618 / 18 / 162 3,6 replete R64.3000
R64.30′{18,18}618 / 18 / 162 6,3 replete R64.30′00
R64.31{18,18}618 / 18 / 162 3,3 replete R64.3100
R64.32{18,18}1818 / 18 / 162 9,2 replete R64.3200
R64.32′{18,18}1818 / 18 / 162 2,9 replete R64.32′00
R64.33{18,18}618 / 18 / 162 3,6 replete R64.3300
R64.33′{18,18}618 / 18 / 162 6,3 replete R64.33′00
R64.34{18,18}1818 / 18 / 162 9,9 replete R64.3400
R64.26{10,160}322 / 32 / 160 160,5 R64.2600
R64.26′{160,10}3232 / 2 / 160 5,160 R64.26′00
R64.29{12,78}524 / 26 / 156 39,6 replete R64.2900
R64.29′{78,12}5226 / 4 / 156 6,39 replete R64.29′00
C64.20{21,42}147 / 14 / 147 7,7 replete Chiral C64.2000
C64.20′{42,21}1414 / 7 / 147 7,7 replete Chiral C64.20′00
R64.36{21,42}147 / 14 / 147 21,3 replete R64.3600
R64.36′{42,21}1414 / 7 / 147 3,21 replete R64.36′00
R64.35{18,144}162 / 16 / 144 144,9 R64.3500
R64.35′{144,18}1616 / 2 / 144 9,144 R64.35′00
R64.37{28,70}204 / 10 / 140 35,14 replete R64.3700
R64.37′{70,28}2010 / 4 / 140 14,35 replete R64.37′00
R64.38{34,136}82 / 8 / 136 136,17 R64.3800
R64.38′{136,34}88 / 2 / 136 17,136 R64.38′00
R64.39{45,90}63 / 6 / 135 45,15 replete R64.3900
R64.39′{90,45}66 / 3 / 135 15,45 replete R64.39′00
R64.40{66,132}42 / 4 / 132 132,33ζ°' R64.40(see ser ζ°')0
R64.40′{132,66}44 / 2 / 132 33,132ζ° R64.40′00
R64.42{130,130}22 / 2 / 130 130,130γ trivial Faces share vertices with themselves R64.4200
R64.41{129,258}21 / 2 / 129 258,129α trivial Faces share vertices with themselves Vertices share edges with themselves R64.4100
R64.41′{258,129}22 / 1 / 129 129,258α' trivial Faces share vertices with themselves Faces share edges with themselves R64.41′(see ser α')0
R64.43{256,256}21 / 1 / 128 256,256β trivial Faces share edges with themselves Faces share vertices with themselves Vertices share edges with themselves R64.4300

Other Regular Maps

General Index