Sacred Geometries and Their Scientific Meanings

The Interface between Science and the Transcendental

Stephen M. Phillips  

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"The Universe is a thought of the Deity. Since this ideal thought-form has overflowed into actuality, and the world born thereof has realized the plan of its creator, it is the calling of all thinking beings to rediscover in this existent whole the original design."

Friedrich Schiller



Inner form of Tree of Life 
How sacred geometries are equivalent to one another, encode the nature of all levels of reality and embody the structure and dynamics of the basic particles of matter.




The 421 polytope has 6720 edges

 The 2-d Sri Yantra has 672 yods other than corners of triangles

The 421 polytope has 6720 edges.

  The Sri Yantra has 672 yods other than corners of triangles.

Weighted with the number 10, the 672 yods other than corners of triangles in the Sri Yantra constructed from tetractyses denote the 6720 edges of the 421 polytope. The 240 corners, sides & triangles surrounding the centre of the Sri Yantra correspond to the 240 vertices of the 421 polytope, which represent the 240 roots of E8, the rank-8, exceptional Lie group associated with E8×E8 heterotic superstring forces. It is implausible to attribute to coincidence both these properties of the Sri Yantra. Rather, they indicate that such superstrings exist and conform to this blueprint as its subatomic realization.

Gosset polytope as inner form of 10 Trees of Life

These analogous features are convincing evidence that the 421 polytope conforms to the archetypal pattern embodied in sacred geometries as it is implausible that they arise by chance. The implication is inescapable: E8×E8 heterotic superstrings exist.

672 yods in 1st 4 Platonic solids

 672 hexagonal yods in 3-torus with Type A triangles

Weighted with the Decad (10), the 672 yods in the first 4 Platonic solids whose faces & interiors are constructed from tetractyses generate the number (6720) of edges of the 421 polytope. 168 yods on average make up these Platonic solids. Weighted with the Decad (10), the 672 hexagonal yods making up the 56 Type A triangles (168 tetractyses) in the {3,7} tessellation on the 3-torus of the 168 automorphisms (of the Klein quartic generate the number (6720) of edges of the 421 polytope.