R8.7

Statistics

genus c	8, orientable
Schläfli formula c	{8,12}
V / F / E c	4 / 6 / 24
notes
vertex, face multiplicity c	6, 4
Petrie polygons	2, each with 24 edges
rotational symmetry group	48 elements.
full symmetry group	96 elements.
its presentation c	< r, s, t | t2, (rs)2, (rs‑1)2, (rt)2, (st)2, r8, s‑2r4s‑4  >
C&D number c	R8.7
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R8.7′.

Its Petrie dual is R10.21′.
Its Petrie dual is R10.21′.

It can be 3-split to give R28.31′.
It can be 5-split to give R48.8′.
It can be 7-split to give R68.8′.
It can be 9-split to give R88.10′.

List of regular maps in orientable genus 8.

Other Regular Maps

General Index