C7:{6,4}

Statistics

genus c	7, non-orientable
Schläfli formula c	{6,4}
V / F / E c	15 / 10 / 30
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons	12, each with 5 edges 20, each with 3 edges 10, each with 6 edges
rotational symmetry group	S5, with 120 elements
full symmetry group	S5, 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 c	N7.1′
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