| genus c | 82, orientable |
| Schläfli formula c | {18,3} |
| V / F / E c | 486 / 81 / 729 |
| notes |
|
| vertex, face multiplicity c | 1, 3 |
| 81, each with 18 edges | |
| rotational symmetry group | 1458 elements. |
| full symmetry group | 2916 elements. |
| its presentation c | < r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, rsr‑5sr6, (rs‑1r3)3, r‑1sr‑2sr‑2sr‑2sr‑2s‑2r‑2sr‑2sr‑2sr‑2sr‑1 > |
| C&D number c | R82.4′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
List of regular maps in orientable genus 82.
| Orientable | |
| Non-orientable |