R57.72

Statistics

genus c57, orientable
Schläfli formula c{228,228}
V / F / E c 1 / 1 / 114
notestrivial Faces share edges with themselves Faces share vertices with themselves Vertices share edges with themselves
vertex, face multiplicity c228, 228
Petrie polygons
114, each with 2 edges
rotational symmetry group228 elements.
full symmetry group456 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r62s‑1tr‑2sts‑47r  >
C&D number cR57.72
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 s.

List of regular maps in orientable genus 57.


Other Regular Maps

General Index