genus c9, orientable
Schläfli formula c{6,4}
V / F / E c 48 / 32 / 96
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
8, each with 24 edges
rotational symmetry group192 elements.
full symmetry group384 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, rsr‑1sr‑1s2r‑1srs‑1r  >
C&D number cR9.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R9.3.

List of regular maps in orientable genus 9.

Wireframe construction

q  {6,4}  2 | 4/3 | 4 × S2:{8,3} w09.4


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