R37.2

Statistics

genus c	37, orientable
Schläfli formula c	{3,15}
V / F / E c	48 / 240 / 360
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons 5th-order holes 5th-order Petrie polygons 6th-order holes 6th-order Petrie polygons 7th-order holes 7th-order Petrie polygons	36, each with 20 edges 48, each with 15 edges 60, each with 12 edges 72, each with 10 edges 120, each with 6 edges 240, each with 3 edges 36, each with 20 edges 120, each with 6 edges 180, each with 4 edges 120, each with 6 edges 72, each with 10 edges 48, each with 15 edges 60, each with 12 edges
rotational symmetry group	A5 x A4, with 720 elements
full symmetry group	1440 elements.
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, (s‑2rs‑1)3, s‑15  >
C&D number c	R37.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R37.2′.

It is its own 4-hole derivative.

List of regular maps in orientable genus 37.

Other Regular Maps

General Index