R57.16′

Statistics

genus c	57, orientable
Schläfli formula c	{10,6}
V / F / E c	80 / 48 / 240
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	48, each with 10 edges 24, each with 20 edges 24, each with 20 edges 120, each with 4 edges 120, each with 4 edges
rotational symmetry group	(SL(2,5) ⋊ C2) ⋊ C2, with 480 elements
full symmetry group	960 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, rsr‑1s3r2s‑2, r10, r3sr‑1s2r3s‑1r  >
C&D number c	R57.16′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.16.

It is self-Petrie dual.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index