The hemi-icosidodecahedron

Statistics

genus c	1, non-orientable
Schläfli formula c	{5,3}
V / F / E c	15 / 10+6 / 30
notes	This is not a regular map, it has faces of two kinds (it is quasiregular).
rotational symmetry group	A5, with 60 elements
full symmetry group	A5, with 60 elements
its presentation c	< r, s, t | r2, s2, t2, (rs)5, (st)3, (rt)2, (srsrst)2 >

Relations to other Regular Maps

It is the result of rectifying the hemi-icosahedron.
It is the result of rectifying the hemidodecahedron.

List of regular maps in non-orientable genus 1.

Other Regular Maps

General Index

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