S5:{15,6}10

Statistics

genus c5, orientable
Schläfli formula c{15,6}
V / F / E c 5 / 2 / 15
notesFaces share vertices with themselves is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c3, 15
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3, each with 10 edges
5 double, each with 6 edges
15, each with 2 edges
6 Hamiltonian, each with 5 edges
rotational symmetry group30 elements.
full symmetry group60 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, r‑1s3r‑1s, r‑2s‑2r‑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:{6,15}10.

It can be 2-split to give S10:{30,6}.

It is a member of series q.

List of regular maps in orientable genus 5.


Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd