
genus ^{c}  4, orientable 
Schläfli formula ^{c}  {5,4} 
V / F / E ^{c}  30 / 24 / 60 
notes  
vertex, face multiplicity ^{c}  1, 1 
20, each with 6 edges 30, each with 4 edges 20, each with 6 edges  
antipodal sets  15 of ( 2v ), 12 of ( 2f ), 30 of ( 2e ) 
rotational symmetry group  S5, with 120 elements 
full symmetry group  240 elements. 
its presentation ^{c}  < r, s, t  t^{2}, s^{4}, (sr)^{2}, (st)^{2}, (rt)^{2}, r^{‑5}, (sr^{‑2}sr^{‑1})^{2} > 
C&D number ^{c}  R4.2′ 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its Petrie dual is
It is a 2fold cover of
It can be 2split to give
It can be 3split to give
It can be 4split to give
It can be 6split to give
It can be 7split to give
It is the result of rectifying
List of regular maps in orientable genus 4.
Orientable  
Nonorientable 
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