R10.24

Statistics

genus c10, orientable
Schläfli formula c{40,40}
V / F / E c 1 / 1 / 20
notestrivial Faces share edges with themselves Faces share vertices with themselves Vertices share edges with themselves is not a polyhedral map
vertex, face multiplicity c40, 40
Petrie polygons
20, each with 2 edges
rotational symmetry group40 elements.
full symmetry group80 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r5tr‑10ts‑5  >
C&D number cR10.24
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It can be rectified to give R10.12′.

It is a member of series β.

List of regular maps in orientable genus 10.


Other Regular Maps

General Index

Orientable
sphere | torus | 2 | 3 | 4 | 5 | 6 |
Non-orientable
projective plane | 4 | 5 | 6 | 7 |

The image on this page is copyright © 2010 N. Wedd