R10.9

Statistics

genus c	10, orientable
Schläfli formula c	{4,7}
V / F / E c	24 / 42 / 84
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	21, each with 8 edges 56, each with 3 edges 21, each with 8 edges 24, each with 7 edges 28, each with 6 edges
rotational symmetry group	PSL(3,2), with 168 elements
full symmetry group	336 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (s‑1r)3, s‑7  >
C&D number c	R10.9
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.9′.

Its Petrie dual is N41.2′.

Its 2-hole derivative is the dual Klein map.
Its 3-hole derivative is R19.23.

It can be derived by stellation (with path <>/3) from the dual Klein map. The density of the stellation is unknown.

List of regular maps in orientable genus 10.

Other Regular Maps

General Index