S6:{15,10}

Statistics

genus c6, orientable
Schläfli formula c{15,10}
V / F / E c 3 / 2 / 15
notesis not a polyhedral map
vertex, face multiplicity c5, 15
Petrie polygons
5, each with 6 edges
rotational symmetry group30 elements.
full symmetry group60 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, rs‑2r2  >
C&D number cR6.10′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{10,15}.

Its Petrie dual is N9.3.

It can be 2-split to give R12.6′.

List of regular maps in orientable genus 6.


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