R10.9

Statistics

genus c10, orientable
Schläfli formula c{4,7}
V / F / E c 24 / 42 / 84
notesreplete singular
vertex, face multiplicity c1, 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 groupPSL(3,2), with 168 elements
full symmetry group336 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (s‑1r)3, s‑7  >
C&D number cR10.9
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.9′.

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