C61.1

Statistics

genus c	61, orientable
Schläfli formula c	{4,6}
V / F / E c	240 / 360 / 720
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	144, each with 10 edges 180, each with 8 edges 144, each with 10 edges 180, each with 8 edges 180, each with 8 edges
rotational symmetry group	(A6 ⋊ C2) ⋊ C2, with 1440 elements
full symmetry group	1440 elements.
its presentation c	< r, s | r4, (rs)2, s6, s‑1rs‑1rs‑1r‑1sr‑2sr‑1sr‑1sr‑1s‑1, (rs‑1)8, s‑1rs‑2rs‑2r‑2s‑1rs2r‑1sr‑1s‑1r  >
C&D number c	C61.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C61.1′.

List of regular maps in orientable genus 61.

Other Regular Maps

General Index