| genus c | 81, orientable |
| Schläfli formula c | {9,9} |
| V / F / E c | 64 / 64 / 288 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 144, each with 4 edges | |
| rotational symmetry group | 576 elements. |
| full symmetry group | 1152 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, s‑1r‑1sr2sr‑1s‑1, r‑9, (r‑2s)3, (sr‑1s)3 > |
| C&D number c | R81.125 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It can be rectified to give
List of regular maps in orientable genus 81.
| Orientable | |
| Non-orientable |