The regular Icosahedron, one of the 5 Platonic Solids [L'icosaèdre régulier, l'un des 5 solides platoniciens ]

The regular Icosahedron, one of the 5 Platonic Solids [L'icosaèdre régulier, l'un des 5 solides platoniciens].




The regular icosahedron contains 12 vertices, 30 edges and 20 triangular faces (equilateral triangles). It is one of the five Platonic Solids.


Coordinates of the (2*2)+(2*2)+(2*2) = 4+4+4 = 12 vertices:
                    {0,±1,±Phi}
                    {±1,±Phi,0}
                    {±1,0,±Phi}
φ being the golden ratio.


See the truncated icosahedron (the spherical Fullerene molecule containing 60 Carbon atoms) and the process of truncation:

The truncated regular Icosahedron or again the spherical Fullerene Molecule containing 60 Carbon atoms The process of truncation of the regular Icosahedron


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