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′.

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