24, each with 15 edges
36, each with 10 edges
90, each with 4 edges
90, each with 4 edges
| genus c | 31, orientable |
| Schläfli formula c | {6,6} |
| V / F / E c | 60 / 60 / 180 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 60, each with 6 edges 24, each with 15 edges 36, each with 10 edges 90, each with 4 edges 90, each with 4 edges | |
| rotational symmetry group | C3 x S5, with 360 elements |
| full symmetry group | 720 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, sr2s‑1r2s2r‑1s > |
| C&D number c | R31.12 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
List of regular maps in orientable genus 31.
| Orientable | |
| Non-orientable |