Regular maps in the non-orientable surface of genus 1

NameSchläfliV / F / EmV, mFnotes C&D no.imageswire-
frames
the hemicube{4,3}34 / 3 / 6 1,2ν replete singular is not a polyhedral map permutes its vertices oddly N1.1′10
the hemioctahedron{3,4}33 / 4 / 6 2,1ν' replete singular cantankerous is not a polyhedral map permutes its vertices oddly N1.120
the hemidodecahedron{5,3}510 / 6 / 15 1,1 replete singular is a polyhedral map permutes its vertices evenly N1.2′10
the hemi-icosahedron{3,5}56 / 10 / 15 1,1 replete singular is a polyhedral map permutes its vertices evenly N1.210
the hemi-2-hosohedron{2,2}11 / 1 / 1 1,1α° α°' Faces with < 3 edges Vertices with < 3 edges Faces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves singular trivial is not a polyhedral map permutes its vertices evenly N1.n110
the hemi-di-square{4,2}42 / 1 / 2 2,4β' κ' λ' Faces with < 3 edges Vertices with < 3 edges Faces share edges with themselves cantankerous trivial is not a polyhedral map permutes its vertices oddly N1.n2′10
the hemi-4-hosohedron{2,4}41 / 2 / 2 4,2β κ λ Faces with < 3 edges Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly N1.n210
the hemi-di-hexagon{6,2}33 / 1 / 3 1,6α°' δ'°' ξ'°' Vertices with < 3 edges Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly N1.n3′20
the hemi-6-hosohedron{2,6}31 / 3 / 3 6,1α° δ'° ξ'° Faces with < 3 edges Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly N1.n310
the hemi-di-octagon{8,2}84 / 1 / 4 1,8β' Vertices with < 3 edges Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly N1.n4′10
the hemi-8-hosohedron{2,8}81 / 4 / 4 8,1β Faces with < 3 edges Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly N1.n410
the hemi-di-decagon{10,2}55 / 1 / 5 1,10α°' Vertices with < 3 edges Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices evenly N1.n5′10
the hemi-10-hosohedron{2,10}51 / 5 / 5 10,1α° Faces with < 3 edges Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly N1.n510
the hemi-di-dodecagon{12,2}126 / 1 / 6 1,12β' Vertices with < 3 edges Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly N1.n6′10
the hemi-12-hosohedron{2,12}121 / 6 / 6 12,1β Faces with < 3 edges Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly N1.n610
the hemi-di-14gon{14,2}77 / 1 / 7 1,14α°' Vertices with < 3 edges Faces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly N1.n7′20
the hemi-14-hosohedron{2,14}71 / 7 / 7 14,1α° Faces with < 3 edges Faces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly N1.n710

Other Regular Maps

General Index

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