C7:{6,4}

Statistics

genus c7, non-orientable
Schläfli formula c{6,4}
V / F / E c 15 / 10 / 30
notesreplete singular is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
holes
12, each with 5 edges
20, each with 3 edges
rotational symmetry groupS5, with 120 elements
full symmetry groupS5, with 120 elements
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (r‑1s)3, r6, r‑1s‑1rsr‑1s‑2r‑1srt  >
C&D number cN7.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C7:{4,6}.

Its Petrie dual is C5:{5,4}.

It can be 2-fold covered to give S6:{6,4}.

It is the full shuriken of the hemi-icosahedron.

List of regular maps in non-orientable genus 7.

Underlying Graph

Its skeleton is hemi-icosidodecahedron.

Other Regular Maps

General Index

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