Regular maps in the orientable surface of genus 4

NameSchläfliV / F / EmV, mFnotes C&D no.imageswire-
frames
S4:{4,5}{4,5}624 / 30 / 60 1,1 replete singular is a polyhedral map permutes its vertices evenly R4.210
S4:{5,4}{5,4}630 / 24 / 60 1,1 replete singular is a polyhedral map permutes its vertices oddly R4.2′10
S4:{4,6}{4,6}412 / 18 / 36 1,1 replete singular is not a polyhedral map permutes its vertices oddly R4.31 1
S4:{6,4}{6,4}418 / 12 / 36 1,1 replete singular is not a polyhedral map permutes its vertices oddly R4.3′1 1
S4:{3,12}{3,12}66 / 24 / 36 3,1 replete is not a polyhedral map permutes its vertices oddly R4.110
S4:{12,3}{12,3}624 / 6 / 36 1,3 replete is not a polyhedral map permutes its vertices oddly R4.1′10
S4:{5,5}{5,5}612 / 12 / 30 1,1 replete singular is not a polyhedral map permutes its vertices evenly R4.620
S4:{4,10}{4,10}204 / 10 / 20 5,2series m replete is not a polyhedral map permutes its vertices oddly R4.42 3
S4:{10,4}{10,4}2010 / 4 / 20 2,5series l replete is not a polyhedral map permutes its vertices oddly R4.4′3 3
S4:{6,6}3,3{6,6}66 / 6 / 18 3,3 replete is not a polyhedral map permutes its vertices oddly R4.71 1
S4:{6,6}2,3{6,6}66 / 6 / 18 2,3 replete is not a polyhedral map permutes its vertices oddly R4.830
S4:{6,6}3,2{6,6}66 / 6 / 18 3,2 replete is not a polyhedral map permutes its vertices oddly R4.8′30
S4:{4,16}{4,16}162 / 8 / 16 16,2series h Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R4.53 1
S4:{16,4}{16,4}168 / 2 / 16 2,16series j Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R4.5′2 1
S4:{6,12}{6,12}42 / 4 / 12 12,3series p Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R4.930
S4:{12,6}{12,6}44 / 2 / 12 3,12series q Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R4.9′20
S4:{10,10}{10,10}22 / 2 / 10 10,10series k Faces share vertices with themselves trivial is not a polyhedral map permutes its vertices oddly R4.113 3
S4:{9,18}{9,18}21 / 2 / 9 18,9series z Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R4.1010
S4:{18,9}{18,9}22 / 1 / 9 9,18series i Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly R4.10′20
S4:{16,16}{16,16}21 / 1 / 8 16,16series 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 R4.1220

Other Regular Maps

General Index

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