R31.3′

Statistics

genus c	31, orientable
Schläfli formula c	{6,4}
V / F / E c	180 / 120 / 360
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons	24, each with 30 edges 120, each with 6 edges 120, each with 6 edges
rotational symmetry group	S5 x S3, with 720 elements
full symmetry group	1440 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, (sr‑1)6, rsr‑1s‑1rs‑1rs‑1r‑1sr2s‑1r  >
C&D number c	R31.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R31.3.

Its Petrie dual is R79.1′.

It is the result of rectifying R31.12.

List of regular maps in orientable genus 31.

Other Regular Maps

General Index