genus c6, orientable
Schläfli formula c{24,24}
V / F / E c 1 / 1 / 12
notesFaces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c24, 24
Petrie polygons
12, each with 2 edges
rotational symmetry groupC24, with 24 elements
full symmetry groupD48, with 48 elements
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r2tsr‑7sts‑1  >
C&D number cR6.13
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 S6:{24,4}.

It is a member of series s.

List of regular maps in orientable genus 6.

Underlying Graph

Its skeleton is 12 . 1-cycle.

Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd