genus c10, orientable
Schläfli formula c{6,4}
V / F / E c 54 / 36 / 108
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
18, each with 12 edges
rotational symmetry group216 elements.
full symmetry group432 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, (sr‑2sr‑1)2  >
C&D number cR10.7′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.7.

It can be 3-fold covered to give R28.6′.

List of regular maps in orientable genus 10.


This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 3:10 seconds from the start. It is shown as a "wireframe diagram", on Pappus graph. The wireframe is possibly arranged as the skeleton of {6,3}(3,3).

Other Regular Maps

General Index