
genus ^{c}  6, nonorientable 
Schläfli formula ^{c}  {3,10} 
V / F / E ^{c}  6 / 20 / 30 
notes  
vertex, face multiplicity ^{c}  2, 1 
12, each with 5 edges 6, each with 10 edges 10, each with 6 edges 12, each with 5 edges 20, each with 3 edges 10, each with 6 edges 6, each with 10 edges 30, each with 2 edges  
antipodal sets  6 of ( v, 2p, h, 2h3, p4 ), 10 of ( 2f, 2p3, h4 ), 15 of ( 2e, 2h5 ) 
rotational symmetry group  A5×C2, with 120 elements 
full symmetry group  A5×C2, with 120 elements 
its presentation ^{c}  < r, s, t  t^{2}, r^{‑3}, (rs)^{2}, (rt)^{2}, (st)^{2}, s^{‑1}rs^{‑2}r^{‑1}sr^{‑1}st > 
C&D number ^{c}  N6.2 
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
List of regular maps in nonorientable genus 6.
Its skeleton is 2 . K_{6}.
Orientable  
Nonorientable 
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