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| genus c | 4, non-orientable |
| Schläfli formula c | {6,4} |
| V / F / E c | 6 / 4 / 12 |
| notes | 
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| vertex, face multiplicity c | 1, 2 |
| 8, each with 3 edges 6, each with 4 edges 6, each with 4 edges | |
| antipodal sets | 3 of ( 2v, h ), 4 of ( f, 2p ), 6 of ( 2e ) |
| rotational symmetry group | S4×C2, with 48 elements |
| full symmetry group | S4×C2, with 48 elements |
| its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑2)2, r6, sr‑1s‑2r‑2t > |
| C&D number c | N4.2′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It can be 2-fold covered to give
It can be rectified to give
It is the full shuriken of
List of regular maps in non-orientable genus 4.
Its skeleton is K2,2,2.
| Orientable | |
| Non-orientable |
The images on this page are copyright © 2010 N. Wedd