Regular maps in the orientable surface of genus 5

NameSchläfliV / F / EmV, mFnotesC&D no.images
S5:{3,8}{3,8}1224 / 64 / 961,1 singular R5.10
S5:{8,3}{8,3}1264 / 24 / 961,1 singular R5.1′0
S5:{4,5}{4,5}1032 / 40 / 801,1 singular R5.30
S5:{5,4}{5,4}1040 / 32 / 801,1 singular R5.3′0
S5:{3,10}{3,10}1012 / 40 / 602,1 R5.20
S5:{10,3}{10,3}1040 / 12 / 601,2 R5.2′0
S5:{4,6}{4,6}1216 / 24 / 481,1 singular R5.40
S5:{6,4}{6,4}1224 / 16 / 481,1 singular R5.4′0
S5:{5,5}{5,5}416 / 16 / 401,1 singular R5.90
S5:{4,8}4{4,8}48 / 16 / 322,1 is not a polyhedral map R5.50
S5:{8,4}4{8,4}416 / 8 / 321,2 is not a polyhedral map R5.5′0
S5:{4,8}8{4,8}88 / 16 / 322,1 is not a polyhedral map R5.60
S5:{8,4}8{8,4}816 / 8 / 321,2 is not a polyhedral map R5.6′0
S5:{6,6}{6,6}48 / 8 / 242,2 is not a polyhedral map R5.100
S5:{4,12}{4,12}124 / 12 / 246,2series m is not a polyhedral map permutes its vertices oddly R5.71
S5:{12,4}{12,4}1212 / 4 / 242,6series l is not a polyhedral map permutes its vertices oddly R5.7′2
S5:{4,20}{4,20}102 / 10 / 2020,2series h Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R5.81
S5:{20,4}{20,4}1010 / 2 / 202,20series j Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R5.8′1
R5.12{8,8}44 / 4 / 164,4 is not a polyhedral map R5.120
R5.13{8,8}44 / 4 / 164,4 is not a polyhedral map R5.130
S5:{6,15}10{6,15}102 / 5 / 1515,3series p Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R5.111
S5:{15,6}10{15,6}105 / 2 / 153,15series q Faces share vertices with themselves is not a polyhedral map permutes its vertices evenly R5.11′1
S5:{12,12}{12,12}22 / 2 / 1212,12series k Faces share vertices with themselves trivial is not a polyhedral map permutes its vertices oddly R5.151
S5:{11,22}{11,22}21 / 2 / 1122,11series z Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R5.141
S5:{22,11}{22,11}22 / 1 / 1111,22series i Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly R5.14′1
S5:{20,20}{20,20}21 / 1 / 1020,20series s 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

Other Regular Maps

General Index

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