
genus ^{c}  0, orientable 
Schläfli formula ^{c}  {5,3} 
V / F / E ^{c}  20 / 12 / 30 
notes  
vertex, face multiplicity ^{c}  1, 1 
6, each with 10 edges  
antipodal sets  10 of ( 2v ), 6 of ( 2f; p1 ), 15 of ( 2e ) 
rotational symmetry group  A5, with 60 elements 
full symmetry group  A5×C2, with 120 elements 
its presentation ^{c}  < r, s, t  r^{2}, s^{2}, t^{2}, (rs)^{5}, (st)^{3}, (rt)^{2} > 
C&D number ^{c}  R0.3′ 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its dual is
Its Petrie dual is
It is a 2fold cover of
It can be 2split to give
It can be rectified to give
It is the result of pyritifying (type 3/3/5/3)
It is the result of pyritifying (type 4/3/5/3)
It can be stellated (with path <1>) to give
It can be stellated (with path <1,1>) to give five tetrahedra in a dodecahedron. The density of the stellation is 5 * 1 = 5.
It can be derived by stellation (with path <1>) from
List of regular maps in orientable genus 0.
Its skeleton is dodecahedron.
This is one of the five "Platonic solids".
A5 
A5×C2 
Orientable  
Nonorientable 
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