Regular maps in the orientable surface of genus 5

NameSchläfliV / F / EmV, mFnotes C&D no.imageswire-
frames
The Fricke-Klein map{3,8}1224 / 64 / 96 1,1 replete singular R5.100
S5:{8,3}{8,3}1264 / 24 / 96 1,1 replete singular R5.1′00
S5:{4,5}{4,5}1032 / 40 / 80 1,1 replete singular R5.300
S5:{5,4}{5,4}1040 / 32 / 80 1,1 replete singular R5.3′00
S5:{3,10}{3,10}1012 / 40 / 60 2,1 replete R5.200
S5:{10,3}{10,3}1040 / 12 / 60 1,2 replete R5.2′00
S5:{4,6}{4,6}1216 / 24 / 48 1,1 replete singular R5.40 1
S5:{6,4}{6,4}1224 / 16 / 48 1,1 replete singular R5.4′0 1
S5:{5,5}{5,5}416 / 16 / 40 1,1 replete singular R5.900
S5:{4,8}4{4,8}48 / 16 / 32 2,1λ' replete is not a polyhedral map R5.5(see ser λ') 1
S5:{8,4}4{8,4}416 / 8 / 32 1,2λ replete is not a polyhedral map R5.5′0 1
S5:{4,8}8{4,8}88 / 16 / 32 2,1 replete is not a polyhedral map R5.600
S5:{8,4}8{8,4}816 / 8 / 32 1,2 replete is not a polyhedral map R5.6′00
S5:{6,6}{6,6}48 / 8 / 24 2,2 replete is not a polyhedral map R5.100 1
S5:{4,12}{4,12}124 / 12 / 24 6,2θ replete is not a polyhedral map permutes its vertices oddly R5.71 3
S5:{12,4}{12,4}1212 / 4 / 24 2,6θ' replete is not a polyhedral map permutes its vertices oddly R5.7′2 3
S5:{4,20}{4,20}102 / 10 / 20 20,2ζ'°' Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R5.82 1
S5:{20,4}{20,4}1010 / 2 / 20 2,20ζ'° Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R5.8′1 1
R5.12{8,8}44 / 4 / 16 4,4 replete is not a polyhedral map R5.120 2
R5.13{8,8}44 / 4 / 16 4,4 replete is not a polyhedral map R5.130 1
S5:{6,15}10{6,15}102 / 5 / 15 15,3δ Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R5.1120
S5:{15,6}10{15,6}105 / 2 / 15 3,15δ' Faces share vertices with themselves is not a polyhedral map permutes its vertices evenly R5.11′10
S5:{12,12}{12,12}22 / 2 / 12 12,12γ° Faces share vertices with themselves trivial is not a polyhedral map permutes its vertices oddly R5.152 4
S5:{11,22}{11,22}21 / 2 / 11 22,11α Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R5.1410
S5:{22,11}{22,11}22 / 1 / 11 11,22α' Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly R5.14′20
S5:{20,20}{20,20}21 / 1 / 10 20,20β° Faces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R5.161 2

Other Regular Maps

General Index

Orientable
sphere | torus | 2 | 3 | 4 | 5 | 6 |
Non-orientable
projective plane | 4 | 5 | 6 | 7 |