Regular Maps on C3

There is no regular map on the non-orientable genus-3 surfaceC95.

The table below lists the Schläfli symbols, and numbers of vertices, faces and edges, that such regular maps would have if they existed.

Schläfli
symbol
V+F-E=Eulink to page
{7,3}14+6-21=-1
{3,7}6+14-21=-1
{5,4}5+4-10=-1
{4,5}4+5-10=-1
{8,3}8+3+12=-1
{3,8}3+8-12=-1
{5,5}2+2-5=-1
{6,4}3+2-6=-1
{4,6}2+3-6=-1
{9,3}6+2-9=-1
{3,9}2+6-9=-1
{6,6}1+1-3=-1
{12,3}4+1-6=-1
{3,12}1+4-6=-1
{8,4}2+1-4=-1
{4,8}1+2-4=-1

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