240, each with 3 edges
120, each with 6 edges
90, each with 8 edges
72, each with 10 edges
180, each with 4 edges
180, each with 4 edges
| genus c | 91, orientable |
| Schläfli formula c | {8,8} |
| V / F / E c | 90 / 90 / 360 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 72, each with 10 edges 240, each with 3 edges 120, each with 6 edges 90, each with 8 edges 72, each with 10 edges 180, each with 4 edges 180, each with 4 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, (s‑1r)3, r8, s8, (rs‑3r2)2, rs‑1r3s‑1r‑3sr‑3s > |
| C&D number c | R91.38 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
It is its own 3-hole derivative.
List of regular maps in orientable genus 91.
| Orientable | |
| Non-orientable |