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