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| genus c | 4, orientable |
| Schläfli formula c | {6,12} |
| V / F / E c | 2 / 4 / 12 |
| notes |    |
| vertex, face multiplicity c | 12, 3 |
| 6, each with 4 edges 4, each with 6 edges 12, each with 2 edges 8, each with 3 edges 6, each with 4 edges 4, each with 6 edges 12, each with 2 edges 4, each with 6 edges 6, each with 4 edges 12, each with 2 edges INF, each with 0 edges | |
| antipodal sets | 1 of ( 2v ), 2 of ( 2f ), 6 of ( 2e ) |
| rotational symmetry group | C3 ⋊ D8, with 24 elements |
| full symmetry group | 48 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s‑1r3s‑1r, s‑2r2s‑2 > |
| C&D number c | R4.9 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It can be truncated to give
It is its own 5-hole derivative.
It can be derived by stellation (with path <1,-1>) from
It is a member of series ε .
It is a member of series ζ°' .
List of regular maps in orientable genus 4.
Its skeleton is 12 . K2.
| Orientable | |
| Non-orientable |
The images on this page are copyright © 2010 N. Wedd