

genus ^{c}  0, orientable 
Schläfli formula ^{c}  {2,10} 
V / F / E ^{c}  2 / 10 / 10 
notes  
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  r^{2}, s^{2}, t^{2}, (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 2fold cover of
It can be rectified to give
List of regular maps in orientable genus 0.
Its skeleton is 10 . K_{2}.
D20 
C5×C2×C2 
Orientable  
Nonorientable 
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