36, each with 10 edges
60, each with 6 edges
12, each with 30 edges
120, each with 3 edges
60, each with 6 edges
36, each with 10 edges
60, each with 6 edges
60, each with 6 edges
| genus c | 86, non-orientable |
| Schläfli formula c | {6,10} |
| V / F / E c | 36 / 60 / 180 |
| notes |
|
| vertex, face multiplicity c | 1, 2 |
| 24, each with 15 edges 36, each with 10 edges 60, each with 6 edges 12, each with 30 edges 120, each with 3 edges 60, each with 6 edges 36, each with 10 edges 60, each with 6 edges 60, each with 6 edges | |
| rotational symmetry group | 720 elements. |
| full symmetry group | 720 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑1r)2, s10, sts‑1r‑1s3rs‑2rs2 > |
| C&D number c | N86.9 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
Its 3-hole derivative is
List of regular maps in non-orientable genus 86.
| Orientable | |
| Non-orientable |