48, each with 14 edges
84, each with 8 edges
112, each with 6 edges
168, each with 4 edges
112, each with 6 edges
112, each with 6 edges
| genus c | 85, orientable |
| Schläfli formula c | {8,8} |
| V / F / E c | 84 / 84 / 336 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 112, each with 6 edges 48, each with 14 edges 84, each with 8 edges 112, each with 6 edges 168, each with 4 edges 112, each with 6 edges 112, each with 6 edges | |
| rotational symmetry group | (PSL(3,2) ⋊ C2) x C2, with 672 elements |
| full symmetry group | 1344 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r8, s8, s‑1r‑1sr3sr‑1s‑1r, s‑1r‑1s2r2s2r‑1s‑1 > |
| C&D number c | R85.41 |
| 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 85.
| Orientable | |
| Non-orientable |