S5:{8,3}

Statistics

genus c	5, orientable
Schläfli formula c	{8,3}
V / F / E c	64 / 24 / 96
notes
vertex, face multiplicity c	1, 1
Petrie polygons	16, each with 12 edges
rotational symmetry group	192 elements.
full symmetry group	384 elements.
its presentation c	< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, r8, r2sr‑2s‑1rs‑1r‑1sr‑2sr2  >
C&D number c	R5.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is The Fricke-Klein map.

Its Petrie dual is R9.1′.

It is a 2-fold cover of the Dyck map.

List of regular maps in orientable genus 5.

Underlying Graph

Its skeleton is F064A.

Comments

This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 0:35 seconds from the start. It is shown as a "wireframe diagram", on cube. The wireframe is arranged as the skeleton of the cube.

Other Regular Maps

General Index