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| genus c | 0, orientable |
| Schläfli formula c | {2,9} |
| V / F / E c | 2 / 9 / 9 |
| notes | 
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| vertex, face multiplicity c | 9, 1 |
| 1, with 18 edges 9, each with 2 edges 1, with 18 edges 9, each with 2 edges 3, each with 6 edges 9, each with 2 edges 1, with 18 edges | |
| antipodal sets | 1 of ( 2v ), 9 of ( f, e, h2, h3, h4 ), 3 of ( 2p3 ) |
| rotational symmetry group | D18, with 18 elements |
| full symmetry group | D18×C2, with 36 elements |
| its presentation c | < r, s, t | r2, s2, t2, (rs)2, (st)9, (rt)2 > |
| C&D number c | R0.n9 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its dual is
Its Petrie dual is
It can be rectified to give
It is its own 2-hole derivative.
It is its own 4-hole derivative.
List of regular maps in orientable genus 0.
Its skeleton is 9 . K2.
| D18 |
| C18 |
| Orientable | |
| Non-orientable |
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