R12.5′

Statistics

genus c	12, orientable
Schläfli formula c	{10,8}
V / F / E c	10 / 8 / 40
notes
vertex, face multiplicity c	4, 5
Petrie polygons	2, each with 40 edges
rotational symmetry group	80 elements.
full symmetry group	160 elements.
its presentation c	< r, s, t | t2, (sr)2, (sr‑1)2, (st)2, (rt)2, s8, r10  >
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 R15.16′.

It can be 3-split to give R42.6′.

List of regular maps in orientable genus 12.

Other Regular Maps

General Index

Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720