S5:{6,15}10

Statistics

genus c5, orientable
Schläfli formula c{6,15}
V / F / E c 2 / 5 / 15
notesFaces share vertices with themselves is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c15, 3
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
5th-order holes
5th-order Petrie polygons
6th-order holes
6th-order Petrie polygons
3, each with 10 edges
5, each with 6 edges
3, each with 10 edges
15, each with 2 edges
3, each with 10 edges
5, each with 6 edges
15, each with 2 edges
5, each with 6 edges
3, each with 10 edges
15, each with 2 edges
3, each with 10 edges
rotational symmetry group30 elements.
full symmetry group60 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s‑1r3s‑1r, s‑2r‑2s‑3  >
C&D number cR5.11
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{15,6}10.

Its Petrie dual is S6:{10,15}.

It is a member of series p.

List of regular maps in orientable genus 5.


Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd