R9.4′

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	32, each with 6 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, (sr‑1)4, r‑1s‑1rsr‑1s2r‑1srs‑1r‑1  >
C&D number c	R9.4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R9.4.

It is self-Petrie dual.

List of regular maps in orientable genus 9.

Comments

This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 2:50 seconds from the start. It is shown as a "wireframe diagram", on K_4,4. The wireframe is probably arranged as the skeleton of {4,4}_(2,2).

Other Regular Maps

General Index