R57.65

Statistics

genus c57, orientable
Schläfli formula c{40,120}
V / F / E c 2 / 6 / 120
notes
vertex, face multiplicity c120, 20
Petrie polygons
40, each with 6 edges
rotational symmetry group240 elements.
full symmetry group480 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, sr3sr‑1, srs‑2rs3, r‑1s6r‑5sr‑1s2r‑1sr‑10sr‑1s2r‑1sr‑6  >
C&D number cR57.65
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.65′.

Its Petrie dual is R40.8.

It is a member of series ε°' .

List of regular maps in orientable genus 57.


Other Regular Maps

General Index