R72.23

Statistics

genus c72, orientable
Schläfli formula c{288,288}
V / F / E c 1 / 1 / 144
notestrivial Faces share edges with themselves Faces share vertices with themselves Vertices share edges with themselves
vertex, face multiplicity c288, 288
Petrie polygons
144, each with 2 edges
rotational symmetry group288 elements.
full symmetry group576 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r‑1s126r‑2ts‑1r8s‑1tr‑2sts‑2t  >
C&D number cR72.23
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It is a member of series β.

List of regular maps in orientable genus 72.


Other Regular Maps

General Index