
genus ^{c}  1, orientable 
Schläfli formula ^{c}  {4,4} 
V / F / E ^{c}  5 / 5 / 10 
notes  
vertex, face multiplicity ^{c}  1, 1 
2, each with 10 edges 4, each with 5 edges  
antipodal sets  5 of ( v, f ), 5 of ( 2e ) 
rotational symmetry group  Frob(20), with 20 elements 
full symmetry group  Frob(20), with 20 elements 
C&D number ^{c}  C1.s21 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfdual.
Its Petrie dual is
It can be 2fold covered to give
It can be rectified to give
List of regular maps in orientable genus 1.
Its skeleton is K_{5}.
Its graph is the the same as that of the 4simplex.
When I was in Amiens cathedral and saw the staircase pictured to the right, I was reminded of this regular map. Though now that I see them together, there is little resemblance.
Frob(20) 
Orientable  
Nonorientable 
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