To draw these maps, we need a way of portraying the oriented genus-4 surface
in flat 2-space. We use the diagram shown to the right, which can be regarded
as an octahedron with a tunnel connected each pair of opposite faces.
This page shows just one (so far) of the regular maps that can be drawn on the genus-7 orientable manifold. For the purpose of these pages, a "regular map" is defined here.
To draw these maps, we need a way of portraying the oriented genus-4 surface
in flat 2-space. We use the diagram shown to the right, which can be regarded
as an octahedron with a tunnel connected each pair of opposite faces.
An image in the "thumbnail" column of the main table is a link to a page with more information about the regular map. Where the thumbnail image is shown on a grey background, the link is to a map that is not regular.
| Schläfli symbol C&D no. | V+F-E=Eu | thumbnail (link) | dual | Rotational Symmetry Group | comments | qy |
|---|---|---|---|---|---|---|
| {9,6} C7.1′ |
9+6-27=-12 |  |
next ? |
A group of order 54 |   |
3 |
| {6,9} C7.1 |
6+9-27=-12 | prec ? |