4, each with 18 edges
18, each with 4 edges
12, each with 6 edges
36, each with 2 edges
4, each with 18 edges
18, each with 4 edges
| genus c | 13, orientable |
| Schläfli formula c | {18,9} |
| V / F / E c | 8 / 4 / 36 |
| notes |
|
| vertex, face multiplicity c | 3, 6 |
| 18, each with 4 edges 4, each with 18 edges 18, each with 4 edges 12, each with 6 edges 36, each with 2 edges 4, each with 18 edges 18, each with 4 edges | |
| rotational symmetry group | 72 elements. |
| full symmetry group | 144 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, rs4rs‑2, rsr‑1s2rs‑1r, s‑9 > |
| C&D number c | R13.14′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It can be built by 2-splitting
It is its own 2-hole derivative.
It is its own 4-hole derivative.
List of regular maps in orientable genus 13.
Its skeleton is 3 . cubic graph.
| Orientable | |
| Non-orientable |