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ULTIMATE SYMMETRY:

Fractal Complex-Time and Quantum Gravity

by Mohamed Haj Yousef



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IV.3.4 The Icosahedron


The Icosahedron has twenty triangular faces, twelve vertices, and thirty edges. A regular Icosahedron consists of twenty equilateral triangles, with five of those triangles meeting at each vertex. The Icosahedron is the only one of the regular polyhedra to have a dihedral angle with a magnitude greater than one hundred and twenty degrees. Like the Octahedron, the Icosahedron has two different vertex angles: at any vertex, the angle between adjacent edges is sixty degrees, whereas the angle between non-adjacent edges is one hundred and eight degrees.

Figure IV.7: The Icosahedron has twenty triangular faces, twelve vertices, and thirty edges, and its dual is the Dodecahedron.

Plato suggested that Icosahedron corresponds to Water that flows out of one s hand when picked up, but as we showed above, Water should be assigned with the Cube that resembles the physical world which is the excitations of the super-fluid vacuum  that is the element Water, and has nothing to do with water as the chemical compound. The Icosahedron should correspond with Earth, as the absolute mass state , since its dual is the Dodecahedron that corresponds to Fire as the absolute energy state .

 



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  • ... ook IV.3.4 The Icosahedron The Icosahedron has twenty triangular faces, twelve vertices, and thirty edges. A regular Icosahedron consists of twenty equilateral triangles, with five of those TRIANGLES MEETING at each vertex. The Icosahedron is the only one of the regular polyhedra to have a ...


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I have no doubt that this is the most significant discovery in the history of mathematics, physics and philosophy, ever!

By revealing the mystery of the connection between discreteness and contintuity, this novel understanding of the complex (time-time) geometry, will cause a paradigm shift in our knowledge of the fundamental nature of the cosmos and its corporeal and incorporeal structures.

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Mohamed Haj Yousef


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The time of anything is its presence; but I am not in time, and You are not in time; so I am Your time, and You are my time!
Ibn al-Arabi [The Meccan Revelations: III.546.16 - tans. Mohamed Haj Yousef]
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