R18.6

Statistics

genus c18, orientable
Schläfli formula c{10,45}
V / F / E c 2 / 9 / 45
notes
vertex, face multiplicity c45, 5
Petrie polygons
5, each with 18 edges
rotational symmetry group90 elements.
full symmetry group180 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, sr3sr‑1, r10, s2rs‑2r‑1s5  >
C&D number cR18.6
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R18.6′.

Its Petrie dual is R20.9.

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