
genus ^{c}  1, orientable 
Schläfli formula ^{c}  {3,6} 
V / F / E ^{c}  12 / 24 / 36 
notes  
vertex, face multiplicity ^{c}  1, 1 
6, each with 12 edges 12, each with 6 edges 18, each with 4 edges 18, each with 4 edges  
antipodal sets  12 of ( v, h2 ) 
rotational symmetry group  A4×D6, with 72 elements 
full symmetry group  144 elements. 
C&D number ^{c}  R1.t04 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its dual is
Its Petrie dual is
It is a 3fold cover of
It can be 2split to give
It can be 4split to give
It can be 5split to give
It can be 7split to give
It can be 8split to give
It can be rectified to give
It can be truncated to give
List of regular maps in orientable genus 1.
Orientable  
Nonorientable 
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