R10.22′

Statistics

genus c10, orientable
Schläfli formula c{42,21}
V / F / E c 2 / 1 / 21
notestrivial Faces share vertices with themselves Faces share edges with themselves is not a polyhedral map
vertex, face multiplicity c21, 42
Petrie polygons
21, each with 2 edges
rotational symmetry group42 elements.
full symmetry group84 elements.
its presentation c< r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, s‑1r5s‑2ts8ts‑4r  >
C&D number cR10.22′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.22.

It is a member of series i.

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