R11.1

Statistics

genus c	11, orientable
Schläfli formula c	{4,6}
V / F / E c	40 / 60 / 120
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 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 group	C2 x S5, with 240 elements
full symmetry group	480 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 c	R11.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R11.1′.

Its Petrie dual is R29.11′.
Its Petrie dual is R29.11′.

It can be 3-split to give R91.30′.

List of regular maps in orientable genus 11.

Comments

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