The 5-lucanicohedron

Statistics

genus c0, orientable
Schläfli formula c{5,2}
V / F / E c 5 / 5+2 / 10
notesThis is not a regular map, it has faces of two kinds (it is quasiregular).
Faces with < 3 edges  
rotational symmetry groupD10, with 10 elements
full symmetry groupD20, with 20 elements
its presentation c< r, s, t | r2, s2, t2, (rs)5, (st)2, (rt)2 >

Relations to other Regular Maps

It is the result of rectifying the 5-hosohedron.
It is the result of rectifying the di-pentagon.

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