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| genus c | 0, orientable |
| Schläfli formula c | {2,10} |
| V / F / E c | 2 / 10 / 10 |
| notes | 
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| vertex, face multiplicity c | 10, 1 |
| 2, each with 10 edges 10, each with 2 edges 2, each with 10 edges 10, each with 2 edges 2, each with 10 edges 10, each with 2 edges 2, each with 10 edges 10, each with 2 edges | |
| antipodal sets | 1 of ( 2v ), 5 of ( 2f, 2h3, 2h5 ), of ( 5 of ( 2e, 2h2, 2h4 ), 1 of ( 2p1, , 2p3 ), 1 of ( 2p2, 2p4 ) |
| rotational symmetry group | D20, with 20 elements |
| full symmetry group | D20×C2, with 40 elements |
| its presentation c | < r, s, t | r2, s2, t2, (rs)2, (st)10, (rt)2 > |
| C&D number c | R0.n10 |
| 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 3-hole derivative.
List of regular maps in orientable genus 0.
Its skeleton is 10 . K2.
| D20 |
| C5×C2×C2 |
| Orientable | |
| Non-orientable |
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