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
| genus c | 37, orientable |
| Schläfli formula c | {4,10} |
| V / F / E c | 48 / 120 / 240 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 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 group | R37.13 , with 480 elements |
| full symmetry group | 960 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 c | R37.13 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
Its 3-hole derivative is
List of regular maps in orientable genus 37.
| Orientable | |
| Non-orientable |