
genus ^{c}  3, orientable 
Schläfli formula ^{c}  {12,3} 
V / F / E ^{c}  16 / 4 / 24 
notes  
vertex, face multiplicity ^{c}  1, 4 
6, each with 8 edges  
antipodal sets  8 of ( 2v ), 12 of ( 2e ) 
rotational symmetry group  C4↑A4, with 48 elements 
full symmetry group  96 elements. 
its presentation ^{c}  < r, s, t  t^{2}, s^{‑3}, (sr)^{2}, (st)^{2}, (rt)^{2}, rsr^{‑2}sr^{3} > 
C&D number ^{c}  R3.3′ 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its Petrie dual is
It can be rectified to give
List of regular maps in orientable genus 3.
Its skeleton is MöbiusKantor graph.
Orientable  
Nonorientable 
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