S5:{6,6}

Statistics

genus c5, orientable
Schläfli formula c{6,6}
V / F / E c 8 / 8 / 24
notesreplete is not a polyhedral map
vertex, face multiplicity c2, 2
Petrie polygons
12, each with 4 edges
rotational symmetry group48 elements.
full symmetry group96 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1r)2, (rs‑2)2  >
C&D number cR5.10
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

x  {6,6}  2/3 | 2/3 | 2 × {6,3}(2,2) Unconfirmed

Underlying Graph

Its skeleton is 2 . cubic graph.

Other Regular Maps

General Index