8, each with 14 edges
56, each with 2 edges
4, each with 28 edges
28, each with 4 edges
8, each with 14 edges
56, each with 2 edges
4, each with 28 edges
28, each with 4 edges
8, each with 14 edges
56, each with 2 edges
| genus c | 25, orientable |
| Schläfli formula c | {28,28} |
| V / F / E c | 4 / 4 / 56 |
| notes |
|
| vertex, face multiplicity c | 14, 14 |
| 28, each with 4 edges 8, each with 14 edges 56, each with 2 edges 4, each with 28 edges 28, each with 4 edges 8, each with 14 edges 56, each with 2 edges 4, each with 28 edges 28, each with 4 edges 8, each with 14 edges 56, each with 2 edges | |
| rotational symmetry group | 112 elements. |
| full symmetry group | 224 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, sr3sr‑1, srs‑1rs2, r22s‑1rs‑1r3 > |
| C&D number c | R25.41 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It can be 3-split to give
It is its own 3-hole derivative.
It is its own 9-hole derivative.
List of regular maps in orientable genus 25.
| Orientable | |
| Non-orientable |