S5:{4,6}

Statistics

genus c	5, orientable
Schläfli formula c	{4,6}
V / F / E c	16 / 24 / 48
notes
vertex, face multiplicity c	1, 1
Petrie polygons	8, each with 12 edges
rotational symmetry group	96 elements.
full symmetry group	192 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, (rs‑1)4, srs‑2r2s3r‑1  >
C&D number c	R5.4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{6,4}.

Its Petrie dual is R13.10′.

It can be 7-split to give R101.21′.
It can be 5-split to give R69.14′.

List of regular maps in orientable genus 5.

Wireframe construction

	×	the cube	mo01:130

Other Regular Maps

General Index