R57.42′

Statistics

genus c	57, orientable
Schläfli formula c	{12,8}
V / F / E c	48 / 32 / 192
notes
vertex, face multiplicity c	1, 3
Petrie polygons	16, each with 24 edges
rotational symmetry group	384 elements.
full symmetry group	768 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s8, (sr‑3)2, r‑1sr‑1s3rs‑2r‑1, r12  >
C&D number c	R57.42′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.42.

It can be built by 3-splitting R9.5.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index