S5:{8,4}₄

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 2nd-order Petrie polygons	16, each with 4 edges 16, each with 4 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, rsr‑1s2r‑1sr, (sr‑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:{4,8}₄.

Its Petrie dual is {4,4}_(4,0).

It can be 3-split to give R21.11′.
It can be 5-split to give R37.20′.
It can be 7-split to give R53.3′.
It can be 9-split to give R69.9′.
It can be 11-split to give R85.17′.

List of regular maps in orientable genus 5.

Wireframe construction

	×	{4,4}(2,0)

Other Regular Maps

General Index