R37.13′

Statistics

genus c37, orientable
Schläfli formula c{10,4}
V / F / E c 120 / 48 / 240
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
40, each with 12 edges
80, each with 6 edges
80, each with 6 edges
rotational symmetry groupR37.13 , with 480 elements
full symmetry group960 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑2sr‑1)2, r10, r‑1s‑1r2sr‑1sr2s‑1r‑2  >
C&D number cR37.13′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R37.13.

Its Petrie dual is R41.4′.

List of regular maps in orientable genus 37.


Other Regular Maps

General Index