


genus ^{c}  4, orientable 
Schläfli formula ^{c}  {6,12} 
V / F / E ^{c}  2 / 4 / 12 
notes  
vertex, face multiplicity ^{c}  12, 3 
6, each with 4 edges 4, each with 6 edges 12, each with 2 edges 8, each with 3 edges 6, each with 4 edges 4, each with 6 edges 12, each with 2 edges 4, each with 6 edges 6, each with 4 edges 12, each with 2 edges  
antipodal sets  1 of ( 2v ), 2 of ( 2f ), 6 of ( 2e ) 
rotational symmetry group  C3 ⋊ D8, with 24 elements 
full symmetry group  48 elements. 
its presentation ^{c}  < r, s, t  t^{2}, (rs)^{2}, (rt)^{2}, (st)^{2}, r^{6}, s^{‑1}r^{3}s^{‑1}r, s^{‑2}r^{2}s^{‑2} > 
C&D number ^{c}  R4.9 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its Petrie dual is
It can be truncated to give
It is its own 5hole derivative.
It can be derived by stellation (with path <1,1>) from
It is a member of series p.
List of regular maps in orientable genus 4.
Its skeleton is 12 . K_{2}.
Orientable  
Nonorientable 
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