WOLFRAM|DEMONSTRATIONS PROJECT

Cluster of 195 Spheres

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diameter of spheres
diameter of central sphere
icosahedron
1 a
1 b
2 a
2 b
truncated icosahedron
a
b
icosidodecahedron
1 a
1 b
truncated dodecahedron
2 a
2 b
dodecahedron
a
b
A sphere is placed at each node and edge of a frame consisting of 20 golden rhombohedra. There is one sphere at the center, 12 at the vertices of an icosahedron, 12 again at the vertices of another icosahedron, 60 at the vertices of a truncated icosahedron, 30 at the vertices of an icosidodecahedron, 60 at the vertices of truncated dodecahedron, and 20 at the vertices of a dodecahedron, for a total of 195 altogether.