The hemi-cuboctahedron

Statistics

genus c1, non-orientable
Schläfli formula c{4,3}
V / F / E c 6 / 4+3 / 12
notesThis is not a regular map, it has faces of two kinds (it is quasiregular).
replete   is not a polyhedral map  
rotational symmetry groupS4, with 24 elements
full symmetry groupS4, with 24 elements
its presentation c< r, s, t | r2, s2, t2, (rs)4, (st)3, (rt)2, (srst)2 >

Relations to other Regular Maps

It is the result of rectifying the hemioctahedron.
It is the result of rectifying the hemicube.

List of regular maps in non-orientable genus 1.

Comments

This is the tetrahemihexahedron or regular heptahedron, used as an example in chapter 2 of Proofs and Refutations by Imre Lakatos.


Other Regular Maps

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