R57.1′

Statistics

genus c	57, orientable
Schläfli formula c	{18,3}
V / F / E c	336 / 56 / 504
notes
vertex, face multiplicity c	1, 2
Petrie polygons	72, each with 14 edges
rotational symmetry group	1008 elements.
full symmetry group	2016 elements.
its presentation c	< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, rs‑1r4s‑1rs‑1r‑1sr4s‑1r, r2sr‑4s‑1r2s‑1r‑4sr2  >
C&D number c	R57.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.1.

Its Petrie dual is R49.4′.

It can be built by 2-splitting R15.1′.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index