72, each with 10 edges
120, each with 6 edges
24, each with 30 edges
120, each with 6 edges
120, each with 6 edges
72, each with 10 edges
120, each with 6 edges
120, each with 6 edges
| genus c | 85, orientable |
| Schläfli formula c | {6,10} |
| V / F / E c | 72 / 120 / 360 |
| notes |
|
| vertex, face multiplicity c | 1, 2 |
| 24, each with 30 edges 72, each with 10 edges 120, each with 6 edges 24, each with 30 edges 120, each with 6 edges 120, each with 6 edges 72, each with 10 edges 120, each with 6 edges 120, each with 6 edges | |
| rotational symmetry group | C2 x A5 x S3, with 720 elements |
| full symmetry group | 1440 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1r)2, s10, (rs‑3rs‑2)2 > |
| C&D number c | R85.21 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It can be built by 2-splitting
List of regular maps in orientable genus 85.
| Orientable | |
| Non-orientable |