R18.9

Statistics

genus c18, orientable
Schläfli formula c{20,40}
V / F / E c 2 / 4 / 40
notes
vertex, face multiplicity c40, 10
Petrie polygons
10, each with 8 edges
rotational symmetry group80 elements.
full symmetry group160 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, sr3sr‑1, r6s‑4  >
C&D number cR18.9
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R18.9′.

Its Petrie dual is R15.15.

List of regular maps in orientable genus 18.


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