R57.13′

Statistics

genus c57, orientable
Schläfli formula c{228,4}
V / F / E c 114 / 2 / 228
notesFaces share vertices with themselves
vertex, face multiplicity c2, 228
Petrie polygons
4, each with 114 edges
rotational symmetry group456 elements.
full symmetry group912 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r57s2r57  >
C&D number cR57.13′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.13.

Its Petrie dual is R56.4′.

It can be built by 3-splitting R19.12′.

It is a member of series j.

List of regular maps in orientable genus 57.


Other Regular Maps

General Index