

genus ^{c}  0, orientable 
Schläfli formula ^{c}  {2,5} 
V / F / E ^{c}  2 / 5 / 5 
notes  
vertex, face multiplicity ^{c}  5, 1 
1, with 10 edges 5, each with 2 edges 1, with 10 edges  
antipodal sets  1 of ( 2v ), 5 of ( f, e, h2 ) 
rotational symmetry group  D10, with 10 elements 
full symmetry group  D20, with 20 elements 
its presentation ^{c}  < r, s, t  r^{2}, s^{2}, t^{2}, (rs)^{2}, (st)^{5}, (rt)^{2} > 
C&D number ^{c}  R0.n5 
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 2hole derivative.
Its half shuriken is
List of regular maps in orientable genus 0.
Its skeleton is 5 . K_{2}.
D10 
C10 
D20 
D20 
Orientable  
Nonorientable 
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