72, each with 10 edges
72, each with 10 edges
180, each with 4 edges
72, each with 10 edges
90, each with 8 edges
180, each with 4 edges
144, each with 5 edges
72, each with 10 edges
| genus c | 25, orientable |
| Schläfli formula c | {3,10} |
| V / F / E c | 72 / 240 / 360 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 90, each with 8 edges 72, each with 10 edges 72, each with 10 edges 180, each with 4 edges 72, each with 10 edges 90, each with 8 edges 180, each with 4 edges 144, each with 5 edges 72, each with 10 edges | |
| rotational symmetry group | A6 ⋊ C2, with 720 elements |
| full symmetry group | 1440 elements. |
| its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s10, (rs‑2)4, s3rs‑4r‑1s3r‑1s‑4rs2 > |
| C&D number c | R25.1 |
| 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 orientable genus 25.
| Orientable | |
| Non-orientable |