| genus c | 31, orientable |
| Schläfli formula c | {21,3} |
| V / F / E c | 168 / 24 / 252 |
| notes |
|
| vertex, face multiplicity c | 1, 3 |
| 63, each with 8 edges | |
| rotational symmetry group | 504 elements. |
| full symmetry group | 1008 elements. |
| its presentation c | < r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, (sr‑2)4, r‑7s‑1r6s‑1r‑1, r3sr‑3sr‑3sr‑3sr > |
| C&D number c | R31.1′ |
| 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 |