R10.12′

Statistics

genus c	10, orientable
Schläfli formula c	{40,4}
V / F / E c	20 / 2 / 40
notes
vertex, face multiplicity c	2, 40
Petrie polygons	2, each with 40 edges
rotational symmetry group	80 elements.
full symmetry group	160 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r10s2r10  >
C&D number c	R10.12′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.12.

It is self-Petrie dual.

It can be 3-split to give R30.3′.
It can be 7-split to give R70.2′.
It can be 9-split to give R90.3′.
It can be built by 5-splitting S2:{8,4}.

It is the result of rectifying R10.24.

It is a member of series j.

List of regular maps in orientable genus 10.

Other Regular Maps

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