genus c11, orientable
Schläfli formula c{4,6}
V / F / E c 40 / 60 / 120
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
24, each with 10 edges
40, each with 6 edges
60, each with 4 edges
40, each with 6 edges
40, each with 6 edges
rotational symmetry groupC2 x S5, with 240 elements
full symmetry group480 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, s‑1rs‑1rs‑1r2s‑1rs‑1rs‑1  >
C&D number cR11.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R11.1′.

It can be 3-split to give R91.30′.

List of regular maps in orientable genus 11.


This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 3:30 seconds from the start. It is shown as a "wireframe diagram", on dodecahedron. The wireframe is arranged as the skeleton of the dodecahedron.

Other Regular Maps

General Index