

genus ^{c}  0, orientable 
Schläfli formula ^{c}  {2,6} 
V / F / E ^{c}  2 / 6 / 6 
notes  
vertex, face multiplicity ^{c}  6, 1 
2, each with 6 edges 6, each with 2 edges 2, each with 6 edges 6, each with 2 edges 6, each with 2 edges  
antipodal sets  1 of ( 2v ), 3 of ( 2f, 2h3 ), 3 of ( 2e, 2h2 ), 1 of ( 2p1 ), 1 of ( 2p2 ) 
rotational symmetry group  D12, with 12 elements 
full symmetry group  D6×C2×C2, with 24 elements 
its presentation ^{c}  < r, s, t  r^{2}, s^{2}, t^{2}, (rs)^{2}, (st)^{6}, (rt)^{2} > 
C&D number ^{c}  R0.n6 
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
Its half shuriken is
List of regular maps in orientable genus 0.
Its skeleton is 6 . K_{2}.
D12 
C6×C2 
D6×C2×C2 
D24 
Orientable  
Nonorientable 
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