R10.6′

Statistics

genus c	10, orientable
Schläfli formula c	{5,4}
V / F / E c	90 / 72 / 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, s4, (sr)2, (st)2, (rt)2, r‑5, (r‑1s)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 N47.2′.

List of regular maps in orientable genus 10.

Other Regular Maps

General Index