¶ Isotropic Vector Matrix (2)
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Index Entry
external facets of both the tetrahedra and the octahedra.
Because all the vectors of this multidimensional matrix are ‘everywhere the same’ the vertexes of the system are equidistant from each other. Each vertex can be the center of an identical diameter sphere whose diameter is equal to the uniform vector’s length. Each sphere will be tangent to the spheres surrounding it. The points of tangency are always at the mid-vectors. Because of the omniequiangular intertriangulating the omnitangential triangulating of identical size spheres constitutes what the physicist terms closest paking of spheres and this closest packing characterizes all crystalline assemblages of atoms. All the crystals coincide with the set of all the polyhedra permitted by the complex configurations of the isotropic matrix.
