genus c10, orientable
Schläfli formula c{5,4}
V / F / E c 90 / 72 / 180
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
2nd-order Petrie polygons
45, each with 8 edges
72, each with 5 edges
36, each with 10 edges
rotational symmetry groupA6, with 360 elements
full symmetry group720 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r‑5, (r‑1s)5  >
C&D number cR10.6′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.6.

List of regular maps in orientable genus 10.

Other Regular Maps

General Index