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
12, each with 5 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, r‑1sr‑2s‑1rs‑1rt  >
C&D number cN6.2′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C6:{3,10}5.

Its Petrie dual is the dodecahedron.

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

It can be rectified to give rectification of C6:{10,3}5.

List of regular maps in non-orientable genus 6.

Underlying Graph

Its skeleton is dodecahedron.

Other Regular Maps

General Index

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