genus c9, orientable
Schläfli formula c{6,4}
V / F / E c 48 / 32 / 96
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
32, each with 6 edges
rotational symmetry group192 elements.
full symmetry group384 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 cR9.4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R9.4.

List of regular maps in orientable genus 9.


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 K4,4. The wireframe is probably arranged as the skeleton of {4,4}(2,2).

Other Regular Maps

General Index