This page shows some of the regular maps that can be drawn on the
genus-C^{7} (a sphere plus seven crosscaps) non-orientable
manifold. For the purpose of these pages, a "regular map" is
defined here.

To draw these regular maps, we need a way of portraying this surface in 2-space. We can use the diagram shown to the right, with six crosscaps arranged on a projective plane.

Schläfli symbol C&N no. | V+F-E=Eu | thumbnail (link) | dual | Symmetry Group | comments | qy |
---|---|---|---|---|---|---|

{6,4} N7.1′ |
15+10-30=-5 | {4,6} |
S5 | 5 | ||

{4,6} N7.1 |
10+15-30=-5 | {6,4} S |
||||

{9,4} N7.2′ |
9+4-18=-5 | {4,9} ? |
A group of order 36 | ? | 2 | |

{4,9} N7.2 |
4+9-18=-5 | {9,4} ? |