genus c37, orientable
Schläfli formula c{20,4}
V / F / E c 90 / 18 / 180
vertex, face multiplicity c1, 5
Petrie polygons
12, each with 30 edges
rotational symmetry group360 elements.
full symmetry group720 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑3)2, (sr‑1)6, r‑2s‑1r2sr‑1s2r‑1sr2s‑1r‑2  >
C&D number cR37.18′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R37.18.

Its Petrie dual is R40.1′.

It can be built by 5-splitting {4,4}(3,3).

List of regular maps in orientable genus 37.

Other Regular Maps

General Index