A polyhedron with 20 faces is called an icosahedron.
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A 20-sided polyhedron is an icosahedron. A 20-sided polygon is an icosagon.
A one-hundred sided polyhedron is called a hecatohedron, comming from the Greek Hecto- meaning one-hundred and -hedronmeaning a three-dimensional figure.
Octohedron
I believe it called a Bucky Ball. After Buckminster Fuller.
icosahedron (its a 20 sided trinagular faced polyhedron)