S5:{4,8}₄

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	16, each with 4 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, srs‑1r2s‑1rs, (rs‑1)4  >
C&D number c	R5.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{8,4}₄.

It is self-Petrie dual.

It can be 3-split to give R29.23′.
It can be 5-split to give R53.12′.
It can be 7-split to give R77.11′.
It can be 9-split to give R101.34′.

List of regular maps in orientable genus 5.

Wireframe construction

	×	{4,4}(2,0)	w09:23

Other Regular Maps

General Index