Regular maps in the orientable surface of genus 2

NameSchläfliV / F / EmV, mFnotes C&D no.imageswire-
frames
S2:{3,8}{3,8}126 / 16 / 24 2,1 replete is not a polyhedral map permutes its vertices evenly R2.110
S2:{8,3}{8,3}1216 / 6 / 24 1,2 replete is not a polyhedral map permutes its vertices evenly R2.1′30
S2:{4,6}{4,6}124 / 6 / 12 3,2ε'°' ζ replete is not a polyhedral map permutes its vertices oddly R2.26 3
S2:{6,4}{6,4}126 / 4 / 12 2,3ε'° ζ' replete is not a polyhedral map permutes its vertices oddly R2.2′8 3
S2:{4,8}{4,8}82 / 4 / 8 8,2η Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R2.34 2
S2:{8,4}{8,4}84 / 2 / 8 2,8η' Faces share vertices with themselves is not a polyhedral map permutes its vertices oddly R2.3′2 2
S2:{6,6}{6,6}22 / 2 / 6 6,6γ° ε ε' Faces share vertices with themselves trivial is not a polyhedral map permutes its vertices oddly R2.57 3
S2:{5,10}{5,10}21 / 2 / 5 10,5α Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly R2.410
S2:{10,5}{10,5}22 / 1 / 5 5,10α' Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly R2.4′20
S2:{8,8}{8,8}21 / 1 / 4 8,8β° 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 R2.62 3

Other Regular Maps

General Index

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