
genus ^{c}  1, nonorientable 
Schläfli formula ^{c}  {2,4} 
V / F / E ^{c}  1 / 2 / 2 
notes  
vertex, face multiplicity ^{c}  4, 2 
1, with 4 edges 2, each with 2 edges  
antipodal sets  1 of ( 2f ), 1 of ( 2e, 2h2 ) 
rotational symmetry group  D8, with 8 elements 
full symmetry group  D8, with 8 elements 
its presentation ^{c}  < r, s, t  r^{2}, s^{2}, t^{2}, (rs)^{2}, (st)^{2}, (rt)^{2}, rst > 
C&D number ^{c}  N1.n2 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its dual is
Its Petrie dual is
It can be 2fold covered to give
It can be rectified to give
It is the result of rectifying
It can be truncated to give
It can be pyritified (type 2/4/3/4) to give
It is the half shuriken of
List of regular maps in nonorientable genus 1.
Its skeleton is 2 . 1cycle.
Orientable  
Nonorientable 
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