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| genus c | 0, orientable |
| Schläfli formula c | {2,12} |
| V / F / E c | 2 / 12 / 12 |
| notes | 
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| vertex, face multiplicity c | 12, 1 |
| 2, each with 12 edges 12, each with 2 edges 4, each with 6 edges 12, each with 2 edges 6, each with 4 edges 12, each with 2 edges 4, each with 6 edges 12, each with 2 edges 2, each with 12 edges 12, each with 2 edges | |
| antipodal sets | 1 of ( 2v ), 6 of ( 2f, 2h3, 2h5; 2p3 ), 6 of ( 2e, 2h2, 2h4, 2h6 ), 2 of ( 2p2, 2p4 ) |
| rotational symmetry group | D24, with 24 elements |
| full symmetry group | D24×C2, with 48 elements |
| its presentation c | < r, s, t | r2, s2, t2, (rs)2, (st)12, (rt)2 > |
| C&D number c | R0.n12 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its dual is
Its Petrie dual is
It is a 2-fold cover of
It can be rectified to give
It is its own 5-hole derivative.
List of regular maps in orientable genus 0.
Its skeleton is 12 . K2.
| D24 |
| C12×C2 |
| Orientable | |
| Non-orientable |
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