R12.5

Statistics

genus c	12, orientable
Schläfli formula c	{8,10}
V / F / E c	8 / 10 / 40
notes
vertex, face multiplicity c	5, 4
Petrie polygons	2, each with 40 edges
rotational symmetry group	80 elements.
full symmetry group	160 elements.
its presentation c	< r, s, t | t2, (rs)2, (rs‑1)2, (rt)2, (st)2, r8, s10  >
C&D number c	R12.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R12.5′.

Its Petrie dual is R16.13′.

It can be 3-split to give R44.6′.
It can be 5-split to give R76.24′.

List of regular maps in orientable genus 12.

Other Regular Maps

General Index