72, each with 10 edges
72, each with 10 edges
180, each with 4 edges
72, each with 10 edges
90, each with 8 edges
90, each with 8 edges
| genus c | 64, orientable |
| Schläfli formula c | {5,8} |
| V / F / E c | 90 / 144 / 360 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 180, each with 4 edges 72, each with 10 edges 72, each with 10 edges 180, each with 4 edges 72, each with 10 edges 90, each with 8 edges 90, each with 8 edges | |
| rotational symmetry group | A6 x C2, with 720 elements |
| full symmetry group | 1440 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, s‑1r‑1sr2sr‑1s‑1, s8 > |
| C&D number c | R64.9 |
| 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 64.
| Orientable | |
| Non-orientable |