

genus ^{c}  3, orientable 
Schläfli formula ^{c}  {6,4} 
V / F / E ^{c}  12 / 8 / 24 
notes  
vertex, face multiplicity ^{c}  1, 2 
8, each with 6 edges 12, each with 4 edges  
antipodal sets  3 of ( 4v ), 4 of ( 2f ), 12 of ( 2e ) 
rotational symmetry group  48 elements. 
full symmetry group  96 elements. 
its presentation ^{c}  < r, s, t  t^{2}, s^{4}, (sr)^{2}, (st)^{2}, (rt)^{2}, (sr^{‑2})^{2}, r^{6} > 
C&D number ^{c}  R3.4′ 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfPetrie dual.
It is a 2fold cover of
It is a 2fold cover of
It is a 2fold cover of
It can be 5split to give
It can be 7split to give
It can be 11split to give
It can be built by 2splitting
It can be rectified to give
It is the result of rectifying
It can be triambulated to give
List of regular maps in orientable genus 3.
Its skeleton is C4 × K_{3}.
Orientable  
Nonorientable 
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