
genus ^{c}  6, nonorientable 
Schläfli formula ^{c}  {10,3} 
V / F / E ^{c}  20 / 6 / 30 
notes  
vertex, face multiplicity ^{c}  1, 2 
6, each with 10 edges  
rotational symmetry group  A5×C2, with 120 elements 
full symmetry group  A5×C2, with 120 elements 
its presentation ^{c}  < r, s, t  t^{2}, s^{‑3}, (sr)^{2}, (st)^{2}, (rt)^{2}, sr^{‑2}sr^{‑1}sr^{‑3}t > 
C&D number ^{c}  N6.1′ 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its dual is
It is selfPetrie dual.
It can be 2fold covered to give
It can be built by 2splitting
It can be rectified to give
List of regular maps in nonorientable genus 6.
Its skeleton is Desargues graph.
Orientable  
Nonorientable 
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