ARTICLE 47 (Part 2)
	by Stephen M. Phillips Flat 4, Oakwood House, 117-119 West Hill Road. Bournemouth. Dorset BH2 5PH. England. Website: http://smphillips.mysite.com

Page Index

Figure 1     When the 47 sectors of the seven enfolded polygons are transformed into 2nd-order tetractyses (the next order above the tetractys in which yods are replaced by tetractyses), they contain 3360 yods. This is the number of helical turns in all ten closed curves of the E8×E8' heterotic superstring when they revolve once around the spin axis of the spin-½ particle. Each yod denotes a turn. Physically, it is an oscillation of the circularly polarized standing wave running around the curve. The Godname ELOHIM with number value 50 prescribes the fundamental constituent of quarks because its ten whorls make 50 revolutions, each of 336 turns, about its spin axis. Assigning this number to each of the 336 yods in the first (6+6) enfolded of the inner Tree of Life generates the number 16800 as the number of circularly polarized oscillations in all ten closed curves of the heterotic superstring.

 

Figure 2     The seven separate regular polygons of the inner Tree of Life have 192 vertices, edges & triangles. They correspond to the 192 lines & broken lines of the 64 trigrams in one half of the I Ching table. The 192 geometrical elements in the second, identical set of seven polygons correspond to the 192 lines & broken lines in the other half of the table. The 24 lines & broken lines in the upper trigrams of the eight diagonal hexagrams correspond to the 24 vertices, edges & triangles in the hexagon, which is the halfway stage in the sequence of seven polygons. The 24 lines & broken lines in the lower trigrams of the eight diagonal hexagrams correspond to the 24 vertices, edges & triangles in the hexagon in the second set of polygons. Each of the 384 lines & broken lines of the I Ching table therefore symbolises a geometrical element composing the two sets of polygons of the inner Tree of Life. This is compelling evidence that the I Ching table is — like the inner Tree of Life — a representation of the same universal blueprint. The counterpart of the yin/yang polarities of lines and broken lines is the distinction between geometrical elements defining the boundaries of polygons and their internal elements, in each case there being 192 in each class.

 

Figure 3       The 384 yin/yang lines of the 64 hexagrams of the I Ching table correspond to the 384 yods in the 42 triangles of the 3-dimensional Sri Yantra. The (24+24) yin/yang lines in the eight diagonal hexagrams correspond to the (24+24) yods that are either hexagonal yods in the central tetractys or centres of the 42 tetractyses surrounding it. The six hexagonal yods in the former are the counterpart of the six lines in the pair of heaven trigrams in the upper left-hand corner of the table. The 168 yods on the 63 edges of the 21 tetractyses in each half of the Sri Yantra are the counterpart of the 168 yin/yang lines in the 28 hexagrams on each side of the diagonal. Their physical manifestation are the 168 circularly polarised oscillations in half a revolution of each whorl of the E8×E8' heterotic superstring.

 

 

Figure 4     ADONAI, the Godname of Malkuth with number value 65, defines the lowest ten Trees of Life because they have 65 Sephirothic emanations. EL, Godname of Chesed with number value 31, prescribes them because they have 127 triangles, where 127 is the 31st prime number. When their sectors are turned into tetractyses, there are 1680 yods below the top of the tenth tree (the 65th emanation). This is how ADONAI determines the superstring structural parameter 1680. They belong to 131 tetractyses, where 131 is the number value of Samael, the Archangel of Geburah. The first (6+6) polygons enfolded in each tree constitute a holistic system because their properties are prescribed by the Godnames of the ten Sephiroth, e.g., ELOHIM, the Godname of Binah, prescribes them because they have 50 corners. When each of their 70 sectors is turned into a tetractys, there are 1680 yods lining the 600 edges of the (60+60) polygons enfolded in the 10 trees that are intrinsic to them in the sense that none of them belong to polygons enfolded in the next higher tree. Just as the 1680 helical turns of each whorl in the heterotic superstring define its form, so the 1680 yods on edges of the polygons determine their shape. A whorl is a Tree of Life in itself, being the microscopic manifestation of a Sephirah, and therefore can be represented by ten Trees of Life.

 

 

Figure 5     With their (35+35) sectors constructed from tetractyses, there are (192+192) yods in the first (6+6) enfolded polygons that are intrinsic to them, i.e., unshared with polygons enfolded in adjacent trees. Of, these, (24+24) are intrinsic corners (white circles) of polygons, leaving (168+168) red and blue yods other than corners. The (60+60) polygons of the first six types enfolded in 10 overlapping Trees of Life have (240+240) corners and (1680+1680) yods other than corners. The superstring structural parameter 1680 is embodied not only by the boundaries of the polygons but also by their yod populations. The 3360 yods other than corners symbolise the 3360 turns in one revolution of the ten helical whorls of the E8×E8' heterotic superstring. A circularly polarised wave comprises two plane waves oscillating 90° out of phase with each other. The (240+240) corners denote the (240+240) plane waves associated with the 240 gauge charges of E8, which are spread over the 10 whorls of the E8×E8' heterotic superstring, 24 to a whorl.

 

Figure 6     DNA is made of chemical building blocks called nucleotides. These building blocks are made of three parts: a phosphate group, a sugar group (2-deoxyribose, which is a pentose (five carbon) sugar) and one of four types of nitrogen bases. To form a strand of DNA, nucleotides are linked into chains, with the phosphate and sugar groups alternating along the sides of the ‘ladder’ of DNA’s double helix. The four types of nitrogen bases found in nucleotides are: adenine (A), thymine (T), guanine (G) and cytosine (C). The two strands of the molecule are held together by hydrogen bonding between pairs of complementary nitrogen bases, base A always with base T and base C always with base G. RNA is a single strand molecule with a much shorter chain of nucleotides than DNA. Whereas DNA contains deoxyribose, RNA contains ribose, whose OH group makes it less stable than DNA. The complementary base to adenine is not thymine but uracil (U). Messenger RNA carries information about a protein sequence to the ribosomes, which synthesize protein in the cell. Transfer RNA is a small RNA chain of about 80 nucleotides that transfer a specific amino acid to a growing polypeptide chain at the ribosomal site of protein synthesis. Groups of three bases (codons) in mRNA hydrogen bond to their complementary anticodons in tRNA. This reads the sequence of the messenger RNA and is attached to the amino acids. Each type of tRNA can be attached to only one type of amino acid. Each codon encodes for a specific amino acid, although a given amino acid may be encoded by several codons. The table lists the 64 base triplets in DNA, the 64 mRNA codons and their complementary tRNA anticodons, together with the amino acid for which they code.

 

 

 

Figure 8     The 60 mRNA codons and their 60 anticodons have their counterparts in: the inner Tree of Life as the 60 red yods lining the boundaries of the enfolded triangle, square, pentagon & dodecagon and as the 60 blue yods lining the boundaries of the hexagon, octagon & decagon; the pair of dodecagons as the 60 hexagonal yods in either one; the disdyakis triacontahedron as the 60 faces in each half of the polyhedron. When its 12 sectors are each constructed from three tetractyses, the dodecagon has 180 yods surrounding it centre. They represent the 180 instances of the four nitrogen bases C, G, U & A. The three groups of four sectors arranged in a cross each contain 60 yods. A yod from each group denotes an instance of a base in the 60 non-stop/start codons.

 

Figure 9   There are 384 yods up to the top of the seventh, overlapping Tree of Life. The 42 triangles of the Sri Yantra have 378 yods, whilst the central triangle has six hexagonal yods on its edges, a total of 384 yods. Both sacred geometries express the seven-fold nature of holistic systems, the seven trees representing the seven Sephiroth of Construction. Their equivalence is further demonstrated by the fact that there are 259 corners, edges & triangles up to the top of the seventh tree, whilst the 43 triangles in the Sri Yantra are composed of 259 corners, edges & triangles.

 

Figure 10 When its triangles are turned into tetractyses, there are 384 yods up to the top of the seventh Tree of Life. They correspond to the 384 yods in the 3-dimensional Sri Yantra whose 43 triangles are turned into tetractyses. They also denote the 384 instances of the four nitrogen bases in the 64 codons of messenger RNA and in the 64 anticodons of transfer RNA. This is the Kabbalistic and Sri Yantra basis for the DNA molecule. There are 192 blue yods from the top of the seventh tree down to the Path joining Chesed and Geburah of the fourth tree and 192 red yods below it. They denote the 192 instances of the bases in tRNA and mRNA.

 

Figure 12     When each of the 42 triangles in the Sri Yantra is divided into its three sectors and each sector then turned into a tetractys, 636 hexagonal yods are generated. This is the sum of the number values of the Godnames of the ten Sephiroth.

 

Figure 13 Assigning the number 10 (the Pythagorean Decad) to the 336 yods on the 126 edges of the 42 triangles of the 3-dimensional Sri Yantra generates the number 3360 — the number of turns in one revolution of the ten whorls of the E8×E8' heterotic superstring. This demonstrates how the Sri Yantra and the inner Tree of Life are equivalent representations of holistic systems like the heterotic superstring. Each half of the Sri Yantra with 168 yods defines the number (1680) of circularly polarized oscillations made by all ten closed curves of the superstring during half of a revolution around its spin axis. The inner and outer halves of the superstring correspond to the two halves of the Sri Yantra. They are prescribed by the Godname EHYEH with number value 21 because 21 triangles in each half surround its central triangle.