The cuboctahedron

Statistics

genus c0, orientable
Schläfli formula c{4,3}
V / F / E c 12 / 8+6 / 24
notesThis is not a regular map, it has faces of two kinds (it is quasiregular).
replete  
rotational symmetry groupS4, with 24 elements
full symmetry groupS4×C2, with 48 elements
its presentation c< r, s, t | r2, s2, t2, (rs)4, (st)3, (rt)2 >

Relations to other Regular Maps

It is the result of rectifying the octahedron.
It is the result of rectifying the cube.

List of regular maps in orientable genus 0.

Cayley Graphs based in this Regular Map


Type I

A4

Other Regular Maps

General Index

Orientable
sphere | torus | 2 | 3 | 4 | 5 | 6 |
Non-orientable
projective plane | 4 | 5 | 6 | 7 |

The images on this page are copyright © 2010 N. Wedd