R37.13

Statistics

genus c37, orientable
Schläfli formula c{4,10}
V / F / E c 48 / 120 / 240
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
5th-order holes
5th-order Petrie polygons
40, each with 12 edges
80, each with 6 edges
120, each with 4 edges
40, each with 12 edges
120, each with 4 edges
120, each with 4 edges
80, each with 6 edges
120, each with 4 edges
120, each with 4 edges
rotational symmetry groupR37.13 , with 480 elements
full symmetry group960 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑2rs‑1)2, s10, s‑1r‑1s2rs‑1rs2r‑1s‑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 R77.17′.

Its 3-hole derivative is R77.17′.

List of regular maps in orientable genus 37.


Other Regular Maps

General Index