60, each with 6 edges
36, each with 10 edges
120, each with 3 edges
12, each with 30 edges
36, each with 10 edges
60, each with 6 edges
60, each with 6 edges
60, each with 6 edges
| genus c | 61, orientable |
| Schläfli formula c | {15,10} |
| V / F / E c | 36 / 24 / 180 |
| notes |
|
| vertex, face multiplicity c | 1, 3 |
| 60, each with 6 edges 60, each with 6 edges 36, each with 10 edges 120, each with 3 edges 12, each with 30 edges 36, each with 10 edges 60, each with 6 edges 60, each with 6 edges 60, each with 6 edges | |
| rotational symmetry group | 360 elements. |
| full symmetry group | 720 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, (s‑2r)3, s10, r‑1s‑1rs3rs‑1r‑1s > |
| C&D number c | R61.22′ |
| 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 61.
| Orientable | |
| Non-orientable |