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.
This page shows some of the regular maps that can be drawn on the genus-C7 (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} S5{5,6} |
|||
| {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} ? |