R57.3′

Statistics

genus c	57, orientable
Schläfli formula c	{18,4}
V / F / E c	144 / 32 / 288
notes
vertex, face multiplicity c	1, 3
Petrie polygons	32, each with 18 edges
rotational symmetry group	576 elements.
full symmetry group	1152 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑1)4, (sr‑2)4, (sr‑5)2, r‑1s‑1rsr‑2s‑2rs‑1r‑3s, r18  >
C&D number c	R57.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.3.

It is self-Petrie dual.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index