S5:{6,6}

Statistics

genus c	5, orientable
Schläfli formula c	{6,6}
V / F / E c	8 / 8 / 24
notes
vertex, face multiplicity c	2, 2
Petrie polygons holes 2nd-order Petrie polygons 3rd-order Petrie polygons	12, each with 4 edges 8, each with 6 edges 12, each with 4 edges 24, each with 2 edges
rotational symmetry group	48 elements.
full symmetry group	96 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1r)2, (rs‑2)2  >
C&D number c	R5.10
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is S3:{4,6}.

It can be built by 2-splitting {3,6}_(2,2).

It can be rectified to give S5:{6,4}.

List of regular maps in orientable genus 5.

Wireframe construction

	×	{6,3}(2,2)		Unconfirmed

Underlying Graph

Its skeleton is 2 . cubic graph.

Other Regular Maps

General Index