
genus ^{c}  1, orientable 
Schläfli formula ^{c}  {3,6} 
V / F / E ^{c}  7 / 14 / 21 
notes  
vertex, face multiplicity ^{c}  1, 1 
3 double Hamiltonian, each with 14 edges 7, each with 6 edges 3 double Hamiltonian, each with 14 edges 6 Hamiltonian, each with 7 edges  
antipodal sets  7 of ( v, h2, 2f ), 7 of ( 3e ) 
rotational symmetry group  C7⋊C6, with 42 elements 
full symmetry group  C7⋊C6, with 42 elements 
C&D number ^{c}  C1.t13 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its dual is
It can be 3fold covered to give
It can be 7fold covered to give
It is a 7fold 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_{7}.
It can be embedded in threespace, with flat nonintersecting (but irregular) faces, as the Császár polyhedron.
Orientable  
Nonorientable 
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