| genus c | 31, orientable |
| Schläfli formula c | {5,20} |
| V / F / E c | 12 / 48 / 120 |
| notes |
|
| vertex, face multiplicity c | 4, 1 |
| 20, each with 12 edges | |
| rotational symmetry group | 240 elements. |
| full symmetry group | 480 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, (sr‑1s)3, s‑1r‑1s2r2s2r‑1s‑1 > |
| C&D number c | R31.11 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It can be 2-split to give
List of regular maps in orientable genus 31.
| Orientable | |
| Non-orientable |