genus c11, orientable
Schläfli formula c{6,6}
V / F / E c 20 / 20 / 60
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
20, each with 6 edges
24, each with 5 edges
12, each with 10 edges
30, each with 4 edges
30, each with 4 edges
rotational symmetry groupS5, with 120 elements
full symmetry group240 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, (rs‑2r)2, s‑1rs‑1r3s‑1rs‑2  >
C&D number cR11.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

List of regular maps in orientable genus 11.


This regular map is described in G03, pages 476 & 477 (where it is erroneously said to be in genus 9), and shown as fig. 8.

Other Regular Maps

General Index