The 9-lucanicohedron


genus c0, orientable
Schläfli formula c{9,2}
V / F / E c 9 / 9+2 / 18
notesThis is not a regular map, it has faces of two kinds (it is quasiregular).
Faces with < 3 edges  
rotational symmetry groupD18, with 18 elements
full symmetry groupD18×C2, with 36 elements
its presentation c< r, s, t | r2, s2, t2, (rs)9, (st)2, (rt)2 >

Relations to other Regular Maps

It is the result of rectifying the 9-hosohedron.
It is the result of rectifying the di-nonagon.

List of regular maps in orientable genus 0.

Other Regular Maps

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