S5:{4,8}₈

Statistics

genus c	5, orientable
Schläfli formula c	{4,8}
V / F / E c	8 / 16 / 32
notes
vertex, face multiplicity c	2, 1
Petrie polygons	8, each with 8 edges
rotational symmetry group	64 elements.
full symmetry group	128 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s‑1rs‑1r2s‑1rs‑1, s8  >
C&D number c	R5.6
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{8,4}₈.

Its Petrie dual is R9.22.

It can be 3-split to give R29.22′.
It can be 5-split to give R53.11′.
It can be 7-split to give R77.10′.
It can be 9-split to give R101.33′.

List of regular maps in orientable genus 5.

Other Regular Maps

General Index