72, each with 10 edges
90, each with 8 edges
72, each with 10 edges
240, each with 3 edges
72, each with 10 edges
72, each with 10 edges
| genus c | 182, non-orientable |
| Schläfli formula c | {8,8} |
| V / F / E c | 90 / 90 / 360 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 144, each with 5 edges 72, each with 10 edges 90, each with 8 edges 72, each with 10 edges 240, each with 3 edges 72, each with 10 edges 72, each with 10 edges | |
| rotational symmetry group | 1440 elements. |
| full symmetry group | 1440 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r8, s8, (rs‑1rs‑1r)2, (rs‑2rs‑1)2, r‑1srs‑1r‑2s‑1rs2t, (rs‑3r2)2 > |
| C&D number c | N182.12 |
| 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 non-orientable genus 182.
| Orientable | |
| Non-orientable |