
genus ^{c}  12, nonorientable 
Schläfli formula ^{c}  {4,6} 
V / F / E ^{c}  20 / 30 / 60 
notes  
vertex, face multiplicity ^{c}  1, 1 
24, each with 5 edges 20, each with 6 edges 24, each with 5 edges 20 double, each with 6 edges 40, each with 3 edges  
antipodal sets  20 of ( v, h, 3h ) 
rotational symmetry group  240 elements. 
full symmetry group  240 elements. 
its presentation ^{c}  < r, s, t  t^{2}, r^{4}, (rs)^{2}, (rt)^{2}, (st)^{2}, s^{6}, r^{‑1}srs^{‑1}r^{‑2}s^{‑1}rs^{2}t > 
C&D number ^{c}  N12.1 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its dual is
List of regular maps in nonorientable genus 12.
Orientable  
Nonorientable 
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