R91.71

Statistics

genus c91, orientable
Schläfli formula c{364,364}
V / F / E c 1 / 1 / 182
notesFaces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial
vertex, face multiplicity c364, 364
Petrie polygons
182, each with 2 edges
rotational symmetry group364 elements.
full symmetry group728 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r81tr‑2sts‑1r8s‑1tr‑2str3s‑81r  >
C&D number cR91.71
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It can be rectified to give R91.28′.

It is a member of series β° .

List of regular maps in orientable genus 91.


Other Regular Maps

General Index


Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720