S5:{8,4}₈

Statistics

genus c	5, orientable
Schläfli formula c	{8,4}
V / F / E c	16 / 8 / 32
notes
vertex, face multiplicity c	1, 2
Petrie polygons	8, each with 8 edges
rotational symmetry group	64 elements.
full symmetry group	128 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r‑1sr‑1s2r‑1sr‑1, r8  >
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:{4,8}₈.

It is self-Petrie dual.

It can be 3-split to give R21.10′.
It can be 5-split to give R37.19′.
It can be 7-split to give R53.2′.
It can be 9-split to give R69.8′.
It can be 11-split to give R85.16′.

List of regular maps in orientable genus 5.

Other Regular Maps

General Index