
genus ^{c}  1, orientable 
Schläfli formula ^{c}  {3,6} 
V / F / E ^{c}  9 / 18 / 27 
notes  
vertex, face multiplicity ^{c}  1, 1 
9, each with 6 edges 9, each with 6 edges 9, each with 6 edges 18, each with 3 edges  
antipodal sets  9 of ( v, h2 ) 
rotational symmetry group  (C3×C3)⋊C6, with 54 elements 
full symmetry group  108 elements. 
C&D number ^{c}  R1.t33 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its dual is
Its Petrie dual is
It can be 3fold covered to give
It is a 3fold cover of
It can be 2split to give
It can be rectified to give
It can be truncated to give
List of regular maps in orientable genus 1.
Its skeleton is K_{3,3,3}.
Orientable  
Nonorientable 
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