The icosidodecahedron

Statistics

genus c0, orientable
Schläfli formula c{5,3}
V / F / E c 30 / 20+12 / 60
notesThis is not a regular map, it has faces of two kinds (it is quasiregular).
replete  
rotational symmetry groupA5, with 60 elements
full symmetry groupA5×C2, with 120 elements
its presentation c< r, s, t | r2, s2, t2, (rs)5, (st)3, (rt)2 >

Relations to other Regular Maps

It is the result of rectifying the dodecahedron.
It is the result of rectifying the icosahedron.

List of regular maps in orientable genus 0.


Other Regular Maps

General Index

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