S6:{3,10}

Statistics

genus c	6, orientable
Schläfli formula c	{3,10}
V / F / E c	15 / 50 / 75
notes
vertex, face multiplicity c	1, 1
Petrie polygons	25, each with 6 edges
rotational symmetry group	150 elements.
full symmetry group	300 elements.
its presentation c	< r, s, t | t2, r-3, (rs)2, (rt)2, (st)2, (sr-1s)3, s10  >.
C&D number c	R6.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{10,3}.

Other regular maps in the same manifold.

Underlying Graph

If we ignore its faces and regard it as a graph, it is isomorphic to K_5,5,5.

Other Regular Maps

General Index