|
|
|
|
| genus c | 3, orientable |
| Schläfli formula c | {3,12} |
| V / F / E c | 4 / 16 / 24 |
| notes | 
|
| vertex, face multiplicity c | 4, 1 |
| 6, each with 8 edges 4, each with 12 edges 6, each with 8 edges 12, each with 4 edges 24, each with 2 edges 4, each with 12 edges 4, each with 12 edges 8, each with 6 edges 6, each with 8 edges 24, each with 2 edges | |
| antipodal sets | 8 of ( 2f ), 12 of ( 2e ) |
| rotational symmetry group | C2 ↑ (A4,C2), with 48 elements |
| full symmetry group | 96 elements. |
| its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, srs‑2rs3 > |
| C&D number c | R3.3 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It can be 2-split to give
It can be 4-split to give
It can be rectified to give
Its 5-hole derivative is
List of regular maps in orientable genus 3.
Its skeleton is 4 . K4.
| Orientable | |
| Non-orientable |
The image on this page is copyright © 2010 N. Wedd