S7:{12,3}

Statistics

genus c7, orientable
Schläfli formula c{12,3}
V / F / E c 48 / 12 / 72
notesreplete
vertex, face multiplicity c1, 2
Petrie polygons
6, each with 24 edges
rotational symmetry group144 elements.
full symmetry group288 elements.
its presentation c< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, r‑1sr‑2sr‑1sr‑2sr‑2  >
C&D number cR7.2′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S7:{3,12}.

Its Petrie dual is R10.5′.
Its Petrie dual is R10.5′.

List of regular maps in orientable genus 7.

Underlying Graph

Its skeleton is F048A.

Other Regular Maps

General Index