C6:{10,3}10

Statistics

genus c6, non-orientable
Schläfli formula c{10,3}
V / F / E c 20 / 6 / 30
notesreplete is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 2
Petrie polygons
6, each with 10 edges
rotational symmetry groupA5×C2, with 120 elements
full symmetry groupA5×C2, with 120 elements
its presentation c< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, sr‑2sr‑1sr‑3t  >
C&D number cN6.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C6:{3,10}10.

It is self-Petrie dual.

It can be 2-fold covered to give S5:{10,3}.

It can be built by 2-splitting the hemidodecahedron.

It can be rectified to give rectification of C6:{10,3}10.

List of regular maps in non-orientable genus 6.

Underlying Graph

Its skeleton is Desargues graph.

Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd