

genus ^{c}  0, orientable 
Schläfli formula ^{c}  {2,3} 
V / F / E ^{c}  2 / 3 / 3 
notes  
vertex, face multiplicity ^{c}  3, 1 
1, with 6 edges  
antipodal sets  1 of ( 2v ), 3 of ( f, e ) 
rotational symmetry group  D6, with 6 elements 
full symmetry group  D12, with 12 elements 
its presentation ^{c}  < r, s, t  r^{2}, s^{2}, t^{2}, (rs)^{2}, (st)^{3}, (rt)^{2} > 
C&D number ^{c}  R0.n3 
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 can be Eppstein tunnelled to give
It can be obtained by truncating
It can be pyritified (type 2/3/4/3) to give
Its half shuriken is
List of regular maps in orientable genus 0.
Its skeleton is 3 . K_{2}.
D6 
C6 
D12 
D12 
Orientable  
Nonorientable 
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