octahemioctahedron

Statistics

genus c1, orientable
Schläfli formula c{6,3}
V / F / E c 12 / 8+4 / 24
notesThis is not a regular map, it has faces of two kinds (it is quasiregular).
replete  
rotational symmetry groupA4×C2, with 24 elements
full symmetry groupS4×C2, with 48 elements

Relations to other Regular Maps

It is the result of rectifying {3,6}(2,2).
It is the result of rectifying {6,3}(2,2).

List of regular maps in orientable genus 1.

Comments

It can be immersed in ℝ3 as the octahemioctahedron.

Cayley Graphs based in this Regular Map


Type I

A4
A4

Other Regular Maps

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