R10.6

Statistics

genus c	10, orientable
Schläfli formula c	{4,5}
V / F / E c	72 / 90 / 180
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons	45, each with 8 edges 72, each with 5 edges 36, each with 10 edges
rotational symmetry group	A6, with 360 elements
full symmetry group	720 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s‑5, (s‑1r)5  >
C&D number c	R10.6
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.6′.

Its Petrie dual is N65.3′.

Its 2-hole derivative is R19.13.

List of regular maps in orientable genus 10.

Other Regular Maps

General Index