
genus ^{c}  6, nonorientable 
Schläfli formula ^{c}  {5,4} 
V / F / E ^{c}  20 / 16 / 40 
notes  
vertex, face multiplicity ^{c}  1, 1 
16, each with 5 edges 20, each with 4 edges  
antipodal sets  10 of ( 2v ), 16 of ( 2e ) 
rotational symmetry group  160 elements. 
full symmetry group  160 elements. 
its presentation ^{c}  < r, s, t  t^{2}, s^{4}, (sr)^{2}, (st)^{2}, (rt)^{2}, r^{‑5}, (sr^{‑1})^{4}, r^{‑1}tsr^{‑1}s^{‑2}r^{‑1}srs^{‑1}r^{‑1} > 
C&D number ^{c}  N6.3′ 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfPetrie dual.
It can be 2fold covered to give
It can be 2split to give
It can be rectified to give
List of regular maps in nonorientable genus 6.
Orientable  
Nonorientable 
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