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Superstrings

 

#1    Sacred geometries embody the 240 non-zero roots of E8.

#2    The Tree of Life basis of the 248 roots of E8 and the 1680 turns of a whorl.

#3    The superstring structural parameter 3360 embodied in the inner form of 10 Trees of Life.

#4    The first 6 polygons of the inner Tree of Life embody the number value of Cholem Yesodeth.

#5    The faces of the 21 Platonic solids in the disdyakis triacontahedron have 1680 hexagonal yods.

#6    The Tree of Life & the seven separate polygons embody the Tree of Life parameter 251.

#7    The outer & inner Trees of Life embody the superstring structural parameter 251.

#8    Correspondence between the 1-tree & the first six polygons enfolded in 10 Trees of Life.

#9    The holistic nature of the Tree of Life parameter 251.

#10  How the number of Binah determines the form of the E8×E8 heterotic superstring.

 

#11  The octagon embodies the dimension 496 of the symmetry group E8×E8 governing interactions between E8×E8 heterotic superstrings.

#12  The first six enfolded polygons encode the numbers of Cholem & Yesodeth.

#13  A 10-pointed star constructed from 2nd-order tetractyses has 1680 yods.

#14  The first (6+6) enfolded polygons embody the superstring structural parameter 336.

#15  The heptagon & Tree of Life embody the superstring structural parameter 504.

#16  The pair of joined, Type C hexagons embody the (248+248) roots of the heterotic superstring gauge symmetry group E8×E8′.

#17  The two joined hexagons with 2nd-order tetractyses as sectors embody the superstring structural parameter 840.

#18  Embodiment of the superstring structural parameters 1680 & 3360 in the inner form of 10 overlapping Trees of Life.

#19  Embodiment of the 496 roots of E8×E8 in the five Platonic solids.

#20  How the first four Platonic solids embody the superstring structural parameter 1680.

 

#21  The disdyakis triacontahedron embodies the 5040 1st-order spirillae in the three major whorls of the UPA.

#22  The tetrahedron & octahedron embody, respectively, the dimension 248 of E8 & the dimension 496 of E8×E8.

#23  How five sacred geometries embody the (72+168) roots of E8.

#24  The inner Tree of Life encodes the ten Trees of Life mapping the ten dimensions of superstring space-time.

#25  The 248 yods in the 56 triangles-as-tetractyses in the {3,7} tessellation on the 3-torus of the 168 symmetries of the Klein quartic denote the 248 roots of E8.

#26  The Type B polygons in the inner form of ten Trees of Life embody the superstring structural parameter 1680.

#27  Correspondence between the encodings of E8×E8 in 10 Trees of Life & in the inner Tree of Life.

#28  How polygonal numbers and sacred geometries represent the superstring structural parameter 3360.

#29  The counterpart of the root composition of E8×E8 in the geometry of the combined outer & inner Trees of Life.

#30  The counterpart of the root composition of E8×E8 in the yod composition of the combined outer & inner Trees of Life.

 

#31  The five Platonic solids embody the root composition of the five exceptional Lie groups G2, F4, E6, E7 & E8.

#32  Yod composition of the Platonic solids.

#33  How sacred geometries embody the superstring structural parameter 1680.

#34  How sacred geometries embody the heterotic superstring symmetry groups E8 & E8×E8.

#35  The number 137 determining the fine-structure constant also determines the dimension 248 of E8.

#36  A 7-pointed star representation of the superstring structural parameter 16800.

#37  The 10 sets of 24 yods in the 1-tree correspond to the 10 whorls of the UPA/superstring along each of which 24 E8 gauge charges are spread.

#38 10-fold geometrical composition of the disdyakis triacontahedron.

#39 The first four Platonic solids embody the 496 roots of E8×E8.

#40 Geometrical composition of the combined outer & inner Trees of Life reflects the root composition of E8×E8'.

#41 The first four enfolded polygons of the inner Tree of Life have 496 permutations of the rows of their 17 tetractys sectors.


#42 How some sacred geometries embody the 84:84 division in the superstring structural parameter 168.

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