56, each with 2 edges
8, each with 14 edges
28, each with 4 edges
4, each with 28 edges
56, each with 2 edges
8, each with 14 edges
28, each with 4 edges
4, each with 28 edges
56, each with 2 edges
8, each with 14 edges
| genus c | 13, orientable |
| Schläfli formula c | {4,28} |
| V / F / E c | 4 / 28 / 56 |
| notes |
|
| vertex, face multiplicity c | 14, 2 |
| 4, each with 28 edges 56, each with 2 edges 8, each with 14 edges 28, each with 4 edges 4, each with 28 edges 56, each with 2 edges 8, each with 14 edges 28, each with 4 edges 4, each with 28 edges 56, each with 2 edges 8, each with 14 edges | |
| rotational symmetry group | 112 elements. |
| full symmetry group | 224 elements. |
| its presentation c | < r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s28 > |
| C&D number c | R13.6 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
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.
It is a member of series m.
List of regular maps in orientable genus 13.
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× | |||
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× |
| Orientable | |
| Non-orientable |