Regular maps in the orientable surface of genus 41

NameSchläfliV / F / EmV, mFnotes C&D no.imageswire-
frames
R41.3{4,6}40160 / 240 / 480 1,1 replete singular R41.300
R41.3′{6,4}40240 / 160 / 480 1,1 replete singular R41.3′00
R41.1{3,16}1248 / 256 / 384 1,1 replete singular R41.100
R41.1′{16,3}12256 / 48 / 384 1,1 replete singular R41.1′00
R41.2{3,16}1248 / 256 / 384 1,1 replete singular R41.200
R41.2′{16,3}12256 / 48 / 384 1,1 replete singular R41.2′00
C41.1{4,8}1080 / 160 / 320 1,1 replete singular Chiral C41.100
C41.1′{8,4}10160 / 80 / 320 1,1 replete singular Chiral C41.1′00
C41.2{4,8}2080 / 160 / 320 1,1 replete singular Chiral C41.200
C41.2′{8,4}20160 / 80 / 320 1,1 replete singular Chiral C41.2′00
C41.3{4,8}2080 / 160 / 320 1,1 replete singular Chiral C41.300
C41.3′{8,4}20160 / 80 / 320 1,1 replete singular Chiral C41.3′00
C41.4{4,8}4080 / 160 / 320 2,1 replete Chiral C41.400
C41.4′{8,4}40160 / 80 / 320 1,2 replete Chiral C41.4′00
C41.5{4,8}4080 / 160 / 320 1,1 replete singular Chiral C41.500
C41.5′{8,4}40160 / 80 / 320 1,1 replete singular Chiral C41.5′00
C41.6{4,8}2080 / 160 / 320 1,1 replete singular Chiral C41.600
C41.6′{8,4}20160 / 80 / 320 1,1 replete singular Chiral C41.6′00
C41.7{4,8}4080 / 160 / 320 2,1 replete Chiral C41.700
C41.7′{8,4}40160 / 80 / 320 1,2 replete Chiral C41.7′00
R41.18{5,6}10100 / 120 / 300 1,1 replete singular R41.1800
R41.18′{6,5}10120 / 100 / 300 1,1 replete singular R41.18′00
R41.19{5,6}20100 / 120 / 300 1,1 replete singular R41.1900
R41.19′{6,5}20120 / 100 / 300 1,1 replete singular R41.19′00
R41.22{6,6}1280 / 80 / 240 1,1 replete singular R41.2200
C41.8{4,12}3040 / 120 / 240 1,1 replete singular Chiral C41.800
C41.8′{12,4}30120 / 40 / 240 1,1 replete singular Chiral C41.8′00
C41.9{4,12}6040 / 120 / 240 3,1 replete Chiral C41.900
C41.9′{12,4}60120 / 40 / 240 1,3 replete Chiral C41.9′00
R41.4{4,12}1040 / 120 / 240 2,1 replete R41.400
R41.4′{12,4}10120 / 40 / 240 1,2 replete R41.4′00
R41.5{4,12}2040 / 120 / 240 2,1 replete R41.500
R41.5′{12,4}20120 / 40 / 240 1,2 replete R41.5′00
C41.10{4,20}2020 / 100 / 200 5,1 replete Chiral C41.1000
C41.10′{20,4}20100 / 20 / 200 1,5 replete Chiral C41.10′00
R41.6{4,20}420 / 100 / 200 2,1 replete R41.600
R41.6′{20,4}4100 / 20 / 200 1,2 replete R41.6′00
C41.12{6,8}1248 / 64 / 192 1,1 replete singular Chiral C41.1200
C41.12′{8,6}1264 / 48 / 192 1,1 replete singular Chiral C41.12′00
R41.23{6,8}648 / 64 / 192 1,1 replete singular R41.2300
R41.23′{8,6}664 / 48 / 192 1,1 replete singular R41.23′00
R41.24{6,8}1248 / 64 / 192 1,1 replete singular R41.2400
R41.24′{8,6}1264 / 48 / 192 1,1 replete singular R41.24′00
R41.25{6,8}1248 / 64 / 192 1,1 replete singular R41.2500
R41.25′{8,6}1264 / 48 / 192 1,1 replete singular R41.25′00
R41.26{6,8}1248 / 64 / 192 1,2 replete R41.2600
R41.26′{8,6}1264 / 48 / 192 2,1 replete R41.26′00
R41.27{6,8}1248 / 64 / 192 1,1 replete singular R41.2700
R41.27′{8,6}1264 / 48 / 192 1,1 replete singular R41.27′00
R41.28{6,8}648 / 64 / 192 1,1 replete singular R41.2800
R41.28′{8,6}664 / 48 / 192 1,1 replete singular R41.28′00
R41.29{6,8}648 / 64 / 192 2,1 replete R41.2900
R41.29′{8,6}664 / 48 / 192 1,2 replete R41.29′00
R41.30{6,8}1248 / 64 / 192 2,1 replete R41.3000
R41.30′{8,6}1264 / 48 / 192 1,2 replete R41.30′00
R41.31{6,8}1248 / 64 / 192 2,1 replete R41.3100
R41.31′{8,6}1264 / 48 / 192 1,2 replete R41.31′00
R41.32{6,8}648 / 64 / 192 2,1 replete R41.3200
R41.32′{8,6}664 / 48 / 192 1,2 replete R41.32′00
R41.33{6,8}2448 / 64 / 192 2,1 replete R41.3300
R41.33′{8,6}2464 / 48 / 192 1,2 replete R41.33′00
R41.10{4,24}1216 / 96 / 192 4,1 replete R41.1000
R41.10′{24,4}1296 / 16 / 192 1,4 replete R41.10′00
R41.11{4,24}2416 / 96 / 192 6,1 replete R41.1100
R41.11′{24,4}2496 / 16 / 192 1,6 replete R41.11′00
R41.12{4,24}2416 / 96 / 192 3,1 replete R41.1200
R41.12′{24,4}2496 / 16 / 192 1,3 replete R41.12′00
R41.13{4,24}1216 / 96 / 192 3,1 replete R41.1300
R41.13′{24,4}1296 / 16 / 192 1,3 replete R41.13′00
R41.14{4,24}2416 / 96 / 192 6,1 replete R41.1400
R41.14′{24,4}2496 / 16 / 192 1,6 replete R41.14′00
R41.7{4,24}2416 / 96 / 192 4,1 replete R41.700
R41.7′{24,4}2496 / 16 / 192 1,4 replete R41.7′00
R41.8{4,24}2416 / 96 / 192 4,1 replete R41.800
R41.8′{24,4}2496 / 16 / 192 1,4 replete R41.8′00
R41.9{4,24}1216 / 96 / 192 4,1 replete R41.900
R41.9′{24,4}1296 / 16 / 192 1,4 replete R41.9′00
C41.11{4,36}9010 / 90 / 180 9,1 replete Chiral C41.1100
C41.11′{36,4}9090 / 10 / 180 1,9 replete Chiral C41.11′00
R41.15{4,44}448 / 88 / 176 11,1 replete R41.1500
R41.15′{44,4}4488 / 8 / 176 1,11 replete R41.15′00
R41.16{4,84}844 / 84 / 168 42,2series m replete R41.16(see series m)0
R41.16′{84,4}8484 / 4 / 168 2,42series l replete R41.16′(see series l)0
R41.17{4,164}822 / 82 / 164 164,2series h Faces share vertices with themselves R41.17(see series h)0
R41.17′{164,4}8282 / 2 / 164 2,164series j Faces share vertices with themselves R41.17′(see series j)0
C41.13{8,8}1040 / 40 / 160 1,1 replete singular Chiral C41.1300
C41.14{8,8}2040 / 40 / 160 2,2 replete Chiral C41.1400
C41.15{8,8}4040 / 40 / 160 2,2 replete Chiral C41.1500
C41.15′{8,8}4040 / 40 / 160 2,2 replete Chiral C41.15′00
C41.16{8,8}4040 / 40 / 160 2,2 replete Chiral C41.1600
C41.17{8,8}4040 / 40 / 160 2,2 replete Chiral C41.1700
C41.18{8,8}4040 / 40 / 160 2,2 replete Chiral C41.1800
R41.20{5,20}816 / 64 / 160 4,1 replete R41.2000
R41.20′{20,5}864 / 16 / 160 1,4 replete R41.20′00
R41.21{5,20}416 / 64 / 160 4,1 replete R41.2100
R41.21′{20,5}464 / 16 / 160 1,4 replete R41.21′00
R41.34{6,33}448 / 44 / 132 11,1 replete R41.3400
R41.34′{33,6}4444 / 8 / 132 1,11 replete R41.34′00
C41.19{8,16}816 / 32 / 128 2,2 replete Chiral C41.1900
C41.19′{16,8}832 / 16 / 128 2,2 replete Chiral C41.19′00
R41.36{8,16}1616 / 32 / 128 4,2 replete R41.3600
R41.36′{16,8}1632 / 16 / 128 2,4 replete R41.36′00
R41.37{8,16}1616 / 32 / 128 4,2 replete R41.3700
R41.37′{16,8}1632 / 16 / 128 2,4 replete R41.37′00
R41.38{8,16}1616 / 32 / 128 4,2 replete R41.3800
R41.38′{16,8}1632 / 16 / 128 2,4 replete R41.38′00
R41.39{8,16}1616 / 32 / 128 4,2 replete R41.3900
R41.39′{16,8}1632 / 16 / 128 2,4 replete R41.39′00
R41.40{8,16}1616 / 32 / 128 4,2 replete R41.4000
R41.40′{16,8}1632 / 16 / 128 2,4 replete R41.40′00
R41.41{8,16}1616 / 32 / 128 4,1 replete R41.4100
R41.41′{16,8}1632 / 16 / 128 1,4 replete R41.41′00
R41.42{8,16}1616 / 32 / 128 4,1 replete R41.4200
R41.42′{16,8}1632 / 16 / 128 1,4 replete R41.42′00
R41.43{8,16}1616 / 32 / 128 4,2 replete R41.4300
R41.43′{16,8}1632 / 16 / 128 2,4 replete R41.43′00
R41.44{8,16}1616 / 32 / 128 4,2 replete R41.4400
R41.44′{16,8}1632 / 16 / 128 2,4 replete R41.44′00
R41.45{8,16}1616 / 32 / 128 4,2 replete R41.4500
R41.45′{16,8}1632 / 16 / 128 2,4 replete R41.45′00
R41.46{8,16}1616 / 32 / 128 4,1 replete R41.4600
R41.46′{16,8}1632 / 16 / 128 1,4 replete R41.46′00
R41.47{8,16}1616 / 32 / 128 4,1 replete R41.4700
R41.47′{16,8}1632 / 16 / 128 1,4 replete R41.47′00
R41.48{8,16}416 / 32 / 128 2,2 replete R41.4800
R41.48′{16,8}432 / 16 / 128 2,2 replete R41.48′00
R41.49{8,16}816 / 32 / 128 2,2 replete R41.4900
R41.49′{16,8}832 / 16 / 128 2,2 replete R41.49′00
R41.35{6,123}822 / 41 / 123 123,3series p Faces share vertices with themselves R41.35(see series p)0
R41.35′{123,6}8241 / 2 / 123 3,123series q Faces share vertices with themselves R41.35′(see series q)0
C41.22{12,12}2020 / 20 / 120 1,1 replete singular Chiral C41.2200
C41.23{12,12}2020 / 20 / 120 3,3 replete Chiral C41.2300
R41.52{12,12}620 / 20 / 120 2,2 replete R41.5200
R41.53{12,12}620 / 20 / 120 2,2 replete R41.5300
C41.20{8,24}6010 / 30 / 120 6,2 replete Chiral C41.2000
C41.20′{24,8}6030 / 10 / 120 2,6 replete Chiral C41.20′00
C41.21{8,24}3010 / 30 / 120 6,2 replete Chiral C41.2100
C41.21′{24,8}3030 / 10 / 120 2,6 replete Chiral C41.21′00
C41.24{14,14}416 / 16 / 112 2,2 replete Chiral C41.2400
C41.24′{14,14}416 / 16 / 112 2,2 replete Chiral C41.24′00
R41.50{8,56}284 / 28 / 112 28,4 replete R41.5000
R41.50′{56,8}2828 / 4 / 112 4,28 replete R41.50′00
R41.51{8,56}284 / 28 / 112 28,4 replete R41.5100
R41.51′{56,8}2828 / 4 / 112 4,28 replete R41.51′00
C41.25{20,20}1010 / 10 / 100 5,5 replete Chiral C41.2500
R41.58{20,20}1010 / 10 / 100 10,4 replete R41.5800
R41.58′{20,20}1010 / 10 / 100 4,10 replete R41.58′00
R41.59{20,20}1010 / 10 / 100 10,10 replete R41.5900
R41.60{24,24}48 / 8 / 96 8,8 replete R41.6000
R41.61{24,24}48 / 8 / 96 8,8 replete R41.6100
R41.62{24,24}88 / 8 / 96 8,8 replete R41.6200
R41.63{24,24}88 / 8 / 96 8,8 replete R41.6300
R41.64{24,24}88 / 8 / 96 12,12 replete R41.6400
R41.65{24,24}88 / 8 / 96 12,6 replete R41.6500
R41.65′{24,24}88 / 8 / 96 6,12 replete R41.65′00
R41.66{24,24}48 / 8 / 96 6,6 replete R41.6600
R41.67{24,24}88 / 8 / 96 6,6 replete R41.6700
R41.68{24,24}88 / 8 / 96 6,6 replete R41.6800
R41.54{16,48}124 / 12 / 96 24,8 replete R41.5400
R41.54′{48,16}1212 / 4 / 96 8,24 replete R41.54′00
R41.55{16,48}244 / 12 / 96 24,8 replete R41.5500
R41.55′{48,16}2412 / 4 / 96 8,24 replete R41.55′00
R41.56{16,48}244 / 12 / 96 24,8 replete R41.5600
R41.56′{48,16}2412 / 4 / 96 8,24 replete R41.56′00
R41.57{16,48}124 / 12 / 96 24,8 replete R41.5700
R41.57′{48,16}1212 / 4 / 96 8,24 replete R41.57′00
C41.26{36,36}105 / 5 / 90 9,9 replete Chiral C41.2600
R41.69{44,44}44 / 4 / 88 22,22 replete R41.6900
R41.71{84,84}22 / 2 / 84 84,84series k trivial Faces share vertices with themselves R41.71(see series k)0
R41.70{83,166}21 / 2 / 83 166,83series z trivial Faces share vertices with themselves Vertices share edges with themselves R41.70(see series z)0
R41.70′{166,83}22 / 1 / 83 83,166series i trivial Faces share vertices with themselves Faces share edges with themselves R41.70′(see series i)0
R41.72{164,164}21 / 1 / 82 164,164series s trivial Faces share edges with themselves Faces share vertices with themselves Vertices share edges with themselves R41.72(see series s)0

Other Regular Maps

General Index