144, each with 5 edges
90, each with 8 edges
180, each with 4 edges
120, each with 6 edges
144, each with 5 edges
72, each with 10 edges
| genus c | 91, orientable |
| Schläfli formula c | {8,8} |
| V / F / E c | 90 / 90 / 360 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 180, each with 4 edges 144, each with 5 edges 90, each with 8 edges 180, each with 4 edges 120, each with 6 edges 144, each with 5 edges 72, each with 10 edges | |
| rotational symmetry group | M10, with 720 elements |
| full symmetry group | 1440 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r8, s‑1r‑1sr2sr‑1s‑1, s8, (s‑1r)5, s‑1r‑2sr3sr‑2s‑2 > |
| C&D number c | R91.36 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
Its 3-hole derivative is
List of regular maps in orientable genus 91.
| Orientable | |
| Non-orientable |