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Properties of cube

 

With its six square faces constructed from four tetractyses. the cube has 96 red hexagonal yods and 14 black corners, i.e., 110 yods, in its 24 tetractyses. This is the same as the octahedron. When the 12 internal triangles formed by its centre and edges are Type A triangles, the cube has 247 yods. They comprise its centre, the centres of the six faces and 240 other yods. 110 yods cover the faces and 137 yods are in its interior. This is how the cube embodies the number 137 determining the fine-structure constant α = e2/ħc ≈ 1/137.036. It measures the strength of the coupling of the electron to the electromagnetic field.  According to the theory of the renormalisation group, this coupling constant increases logarithmically with the energy of the electromagnetic field, so that the number 137 determines its value at the energy scale set by the mass of the electron, the lightest charged particle.



 

 
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