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′.
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