R57.10′

Statistics

genus c	57, orientable
Schläfli formula c	{60,4}
V / F / E c	120 / 8 / 240
notes
vertex, face multiplicity c	1, 20
Petrie polygons	16, each with 30 edges
rotational symmetry group	480 elements.
full symmetry group	960 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑1)4, rsr‑2s2r3s‑1, r15sr‑2sr13  >
C&D number c	R57.10′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.10.

Its Petrie dual is R53.1′.

It can be built by 5-splitting R9.9′.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index