This page is obsolete. See the current version of Regular Maps in the non-orientable surface of genus 5

Regular Maps on the C5 non-Orientable Manifold

This page shows some of the regular maps that can be drawn on the genus-C5 (a sphere plus five crosscaps) non-orientable manifold. For the purpose of these pages, a "regular map" is defined here.

Schläfli
symbol
C&N no.		V+F-E=Euthumbnail
(link)		dual

Petrie dual

Symmetry
Group		commentsqy
{5,4}
N5.1′		 15+12-30=-4 {4,5}

?

 S5 ? 6
{4,5}
N5.1		 12+15-30=-4 {5,4}

?
{6,4}
N5.2′		 9+6-18=-4 {4,6}

?

 A group of order 72 ? 3
{4,6}
N5.2		 6+9-18=-4 {6,4}

?
{5,5}
N5.3		 6+6-15=-4 self-dual

The hemi-icosahedron

 A5 ? 3
{6,6}
N5.4		 3+3-9=-4 self-dual

S1{3,6}(0,2)

 A group of order 36 ? 1½

Index to other pages on regular maps;
indexes to those on S0 C1 S1 S2 C4 C5 S3 C6 S4.
Some pages on groups

Copyright N.S.Wedd 2009,2010