S6:{10,15}

Statistics

genus c	6, orientable
Schläfli formula c	{10,15}
V / F / E c	2 / 3 / 15
notes
vertex, face multiplicity c	15, 5
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	5, each with 6 edges 3, each with 10 edges 5, each with 6 edges 3, each with 10 edges 15, each with 2 edges 15, each with 2 edges 5, each with 6 edges 3, each with 10 edges 5, each with 6 edges 3, each with 10 edges 15, each with 2 edges
rotational symmetry group	30 elements.
full symmetry group	60 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, sr‑2s2  >
C&D number c	R6.10
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{15,10}.

Its Petrie dual is S5:{6,15}₁₀.

List of regular maps in orientable genus 6.

Other Regular Maps

General Index

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