Regular maps in the orientable surface of genus 4

NameSchläfliV / F / EmV, mFnotesC&D no.images
S4:{4,5}{4,5}624 / 30 / 601,1 replete singular is a polyhedral map permutes its vertices evenly R4.21
S4:{5,4}{5,4}630 / 24 / 601,1 replete singular is a polyhedral map permutes its vertices oddly R4.2′1
S4:{3,12}{3,12}66 / 24 / 363,1 replete is not a polyhedral map permutes its vertices oddly R4.11
S4:{12,3}{12,3}624 / 6 / 361,3 replete is not a polyhedral map permutes its vertices oddly R4.1′1
S4:{4,6}{4,6}412 / 18 / 361,1 replete singular is not a polyhedral map permutes its vertices oddly R4.31
S4:{6,4}{6,4}418 / 12 / 361,1 replete singular is not a polyhedral map permutes its vertices oddly R4.3′1
S4:{5,5}{5,5}612 / 12 / 301,1 replete singular is not a polyhedral map permutes its vertices evenly R4.61
S4:{4,10}{4,10}204 / 10 / 205,2series m is not a polyhedral map permutes its vertices oddly R4.41
S4:{10,4}{10,4}2010 / 4 / 202,5series l is not a polyhedral map permutes its vertices oddly R4.4′2
S4:{6,6}3,3{6,6}66 / 6 / 183,3 replete is not a polyhedral map permutes its vertices oddly R4.71
S4:{6,6}2,3{6,6}66 / 6 / 182,3 replete is not a polyhedral map permutes its vertices oddly R4.82
S4:{6,6}3,2{6,6}66 / 6 / 183,2 replete is not a polyhedral map permutes its vertices oddly R4.8′1
S4:{4,16}{4,16}162 / 8 / 1616,2series h Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R4.51
S4:{16,4}{16,4}168 / 2 / 162,16series j Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R4.5′1
S4:{6,12}{6,12}42 / 4 / 1212,3series p Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R4.92
S4:{12,6}{12,6}44 / 2 / 123,12series q Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R4.9′2
S4:{10,10}{10,10}22 / 2 / 1010,10series k Faces share vertices with themselves trivial is not a polyhedral map permutes its vertices oddly R4.111
S4:{9,18}{9,18}21 / 2 / 918,9series z Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R4.101
S4:{18,9}{18,9}22 / 1 / 99,18series i Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly R4.10′1
S4:{16,16}{16,16}21 / 1 / 816,16series 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 R4.121

Other Regular Maps

General Index

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