Regular maps in the orientable surface of genus 51

NameSchläfliV / F / EmV, mFnotes C&D no.imageswire-
frames
C51.1{3,12}8100 / 400 / 600 1,1 replete singular Chiral C51.100
C51.1′{12,3}8400 / 100 / 600 1,1 replete singular Chiral C51.1′00
R51.1{3,12}40100 / 400 / 600 2,1 replete R51.100
R51.1′{12,3}40400 / 100 / 600 1,2 replete R51.1′00
C51.2{4,8}8100 / 200 / 400 1,1 replete singular Chiral C51.200
C51.2′{8,4}8200 / 100 / 400 1,1 replete singular Chiral C51.2′00
C51.3{4,8}200100 / 200 / 400 2,1 replete Chiral C51.300
C51.3′{8,4}200200 / 100 / 400 1,2 replete Chiral C51.3′00
C51.4{4,8}200100 / 200 / 400 2,1 replete Chiral C51.400
C51.4′{8,4}200200 / 100 / 400 1,2 replete Chiral C51.4′00
R51.3{4,8}40100 / 200 / 400 2,1 replete R51.300
R51.3′{8,4}40200 / 100 / 400 1,2 replete R51.3′00
R51.4{4,8}40100 / 200 / 400 2,1 replete R51.400
R51.4′{8,4}40200 / 100 / 400 1,2 replete R51.4′00
R51.2{3,30}1025 / 250 / 375 5,1 replete R51.200
R51.2′{30,3}10250 / 25 / 375 1,5 replete R51.2′00
C51.5{4,12}650 / 150 / 300 1,1 replete singular Chiral C51.500
C51.5′{12,4}6150 / 50 / 300 1,1 replete singular Chiral C51.5′00
C51.6{4,12}15050 / 150 / 300 3,1 replete Chiral C51.600
C51.6′{12,4}150150 / 50 / 300 1,3 replete Chiral C51.6′00
R51.5{4,12}3050 / 150 / 300 3,1 replete R51.500
R51.5′{12,4}30150 / 50 / 300 1,3 replete R51.5′00
R51.6{4,20}1025 / 125 / 250 5,1 replete R51.600
R51.6′{20,4}10125 / 25 / 250 1,5 replete R51.6′00
R51.13{6,8}2060 / 80 / 240 2,1 replete R51.1300
R51.13′{8,6}2080 / 60 / 240 1,2 replete R51.13′00
R51.14{6,8}1060 / 80 / 240 2,1 replete R51.1400
R51.14′{8,6}1080 / 60 / 240 1,2 replete R51.14′00
C51.7{4,24}12020 / 120 / 240 6,1 replete Chiral C51.700
C51.7′{24,4}120120 / 20 / 240 1,6 replete Chiral C51.7′00
C51.8{4,24}12020 / 120 / 240 6,1 replete Chiral C51.800
C51.8′{24,4}120120 / 20 / 240 1,6 replete Chiral C51.8′00
R51.7{4,24}2020 / 120 / 240 4,1 replete R51.700
R51.7′{24,4}20120 / 20 / 240 1,4 replete R51.7′00
R51.8{4,24}2020 / 120 / 240 4,1 replete R51.800
R51.8′{24,4}20120 / 20 / 240 1,4 replete R51.8′00
C51.9{4,44}11010 / 110 / 220 11,1 replete Chiral C51.900
C51.9′{44,4}110110 / 10 / 220 1,11 replete Chiral C51.9′00
R51.9{4,54}548 / 108 / 216 18,1 replete R51.900
R51.9′{54,4}54108 / 8 / 216 1,18 replete R51.9′00
R51.10{4,104}1044 / 104 / 208 52,2series m replete R51.10(see series m)0
R51.10′{104,4}104104 / 4 / 208 2,52series l replete R51.10′(see series l)0
R51.11{4,104}1044 / 104 / 208 52,1 replete R51.1100
R51.11′{104,4}104104 / 4 / 208 1,52 replete R51.11′00
R51.12{4,204}1022 / 102 / 204 204,2series h Faces share vertices with themselves R51.12(see series h)0
R51.12′{204,4}102102 / 2 / 204 2,204series j Faces share vertices with themselves R51.12′(see series j)0
C51.10{8,8}1050 / 50 / 200 1,1 replete singular Chiral C51.1000
C51.10′{8,8}1050 / 50 / 200 1,1 replete singular Chiral C51.10′00
C51.11{8,8}5050 / 50 / 200 2,2 replete Chiral C51.1100
C51.12{8,8}450 / 50 / 200 1,1 replete singular Chiral C51.1200
C51.13{8,8}10050 / 50 / 200 2,2 replete Chiral C51.1300
R51.16{8,8}2050 / 50 / 200 2,2 replete R51.1600
R51.17{8,8}1050 / 50 / 200 2,2 replete R51.1700
R51.15{6,28}4212 / 56 / 168 7,1 replete R51.1500
R51.15′{28,6}4256 / 12 / 168 1,7 replete R51.15′00
C51.14{8,16}8020 / 40 / 160 4,2 replete Chiral C51.1400
C51.14′{16,8}8040 / 20 / 160 2,4 replete Chiral C51.14′00
C51.15{8,16}8020 / 40 / 160 4,2 replete Chiral C51.1500
C51.15′{16,8}8040 / 20 / 160 2,4 replete Chiral C51.15′00
C51.16{12,12}1025 / 25 / 150 1,1 replete singular Chiral C51.1600
C51.17{12,12}5025 / 25 / 150 3,3 replete Chiral C51.1700
R51.24{12,12}1025 / 25 / 150 3,3 replete R51.2400
R51.18{8,36}188 / 36 / 144 12,2 replete R51.1800
R51.18′{36,8}1836 / 8 / 144 2,12 replete R51.18′00
R51.19{8,36}368 / 36 / 144 12,2 replete R51.1900
R51.19′{36,8}3636 / 8 / 144 2,12 replete R51.19′00
R51.20{8,36}728 / 36 / 144 18,4 replete R51.2000
R51.20′{36,8}7236 / 8 / 144 4,18 replete R51.20′00
R51.21{8,36}728 / 36 / 144 9,4 replete R51.2100
R51.21′{36,8}7236 / 8 / 144 4,9 replete R51.21′00
R51.22{8,136}342 / 34 / 136 136,4 R51.2200
R51.22′{136,8}3434 / 2 / 136 4,136 R51.22′00
R51.23{8,136}682 / 34 / 136 136,4 R51.2300
R51.23′{136,8}6834 / 2 / 136 4,136 R51.23′00
C51.18{24,24}1010 / 10 / 120 6,6 replete Chiral C51.1800
C51.19{24,24}2010 / 10 / 120 6,6 replete Chiral C51.1900
R51.27{20,30}68 / 12 / 120 10,5 replete R51.2700
R51.27′{30,20}612 / 8 / 120 5,10 replete R51.27′00
R51.26{15,60}84 / 16 / 120 20,5 replete R51.2600
R51.26′{60,15}816 / 4 / 120 5,20 replete R51.26′00
R51.25{14,119}342 / 17 / 119 119,7 R51.2500
R51.25′{119,14}3417 / 2 / 119 7,119 R51.25′00
R51.28{28,56}84 / 8 / 112 28,14 replete R51.2800
R51.28′{56,28}88 / 4 / 112 14,28 replete R51.28′00
R51.29{28,56}84 / 8 / 112 28,7 replete R51.2900
R51.29′{56,28}88 / 4 / 112 7,28 replete R51.29′00
C51.20{44,44}105 / 5 / 110 11,11 replete Chiral C51.2000
R51.30{54,54}44 / 4 / 108 18,18 replete R51.3000
R51.31{70,105}62 / 3 / 105 105,35 R51.3100
R51.31′{105,70}63 / 2 / 105 35,105 R51.31′00
R51.33{104,104}42 / 2 / 104 104,104 R51.3300
R51.34{104,104}22 / 2 / 104 104,104series k trivial R51.34(see series k)0
R51.32{103,206}21 / 2 / 103 206,103series z trivial Faces share vertices with themselves Vertices share edges with themselves R51.32(see series z)0
R51.32′{206,103}22 / 1 / 103 103,206series i trivial Faces share vertices with themselves Faces share edges with themselves R51.32′(see series i)0
R51.35{204,204}21 / 1 / 102 204,204series s trivial Faces share edges with themselves Faces share vertices with themselves Vertices share edges with themselves R51.35(see series s)0

Other Regular Maps

General Index