
genus ^{c}  4, orientable 
Schläfli formula ^{c}  {4,6} 
V / F / E ^{c}  12 / 18 / 36 
notes  
vertex, face multiplicity ^{c}  1, 1 
18, each with 4 edges 12, each with 6 edges 12, each with 6 edges 18, each with 4 edges  
antipodal sets  9 of ( 2v ), 6 of ( 2f ), 18 of ( 2e ), 9 of ( 2h ), 6 of ( 2p2 ) 
rotational symmetry group  72 elements. 
full symmetry group  144 elements. 
its presentation ^{c}  < r, s, t  t^{2}, r^{4}, (rs)^{2}, (rt)^{2}, (st)^{2}, s^{6}, srs^{‑1}r^{2}s^{‑1}rs > 
C&D number ^{c}  R4.3 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfPetrie dual.
It is a 2fold cover of
It can be 5split to give
It can be 7split to give
List of regular maps in orientable genus 4.
×  C.Séquin 
Its skeleton is K_{6,6}.
Orientable  
Nonorientable 
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