genus c10, non-orientable
Schläfli formula c{6,5}
V / F / E c 12 / 10 / 30
notesreplete is not a polyhedral map
vertex, face multiplicity c1, 2
Petrie polygons
2nd-order Petrie polygons
12, each with 5 edges
6, each with 10 edges
20, each with 3 edges
rotational symmetry group120 elements.
full symmetry group120 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s‑5, (sr‑2)2, r‑1sr‑1s‑2rs‑2t  >
C&D number cN10.5′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is N10.5.

Its Petrie dual is S4:{5,5}.

Its 2-hole derivative is N14.3′.

List of regular maps in non-orientable genus 10.

Other Regular Maps

General Index