R9.3′

Statistics

genus c	9, orientable
Schläfli formula c	{6,4}
V / F / E c	48 / 32 / 96
notes
vertex, face multiplicity c	1, 1
Petrie polygons	8, each with 24 edges
rotational symmetry group	192 elements.
full symmetry group	384 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, rsr‑1sr‑1s2r‑1srs‑1r  >
C&D number c	R9.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R9.3.

Its Petrie dual is R21.9′.

List of regular maps in orientable genus 9.

Wireframe construction

	×	S2:{8,3}	w09.4

Comments

This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 2:40 seconds from the start. It is shown as a "wireframe diagram", on Möbius-Kantor graph. The wireframe is possibly arranged as the skeleton of S2:{8,3}.

Other Regular Maps

General Index