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## The Sacred Geometry of the Platonic Solids | |

Full CircleUser ID: 790127 Canada 10/09/2009 04:02 PM Report Abusive Post Report Copyright Violation | It's important to keep an open mind about this stuff and link it into everything else you discover. It's a grand puzzle and the pieces are everywhere. Born into this World We create echoes of our inward yearnings And Shift along the Axis From matter to Spirit - Scott Mutter |

Thesonofhendrix (OP)User ID: 790294 United Kingdom 10/09/2009 04:06 PM Report Abusive Post Report Copyright Violation | Last Part, Unfortunately the diagrams and pictures will not paste into this thread but i will try and get a link to this article as i believe its free for download on the web. _____________________________________________________________ ADDENDUMTHE PYRAMID Although not a regular polyhedron, the square pyramid has remarkable properties indicating that it, too, possesses sacred geometry. These are investigated below. Turning its four triangular faces and the four triangular sectors of its base into tetractyses, one finds (Fig. 13) that there are 21 yods along its edges (five corners, two hexagonal yods inside each of the eight edges). In other words, the number value of EHYEH (“I am”), which is the Godname of Kether, the first Sephirah, is the minimum number of yods needed to create the edges of the pyramid. This illustrates the minimal nature of this Godname assigned to the first Sephirah, which signifies the embryonic source of Creation. Considering next the pyramid’s five faces (base 16 included), there are five pyramid corners that are corners of tetractyses, one centre of the base that is the corner of four tetractyses, 12 sides of tetractyses and eight tetractyses, making a total of 26 corners, sides and tetractyses. 26 is the number value of YAHWEH, Godname of Chokmah, the second Sephirah. YAHWEH prescribes the minimum number of geometrical elements (points, lines and triangles) needed to construct the pyramid. Now, as was done for the Platonic solids, let the triangular faces of the pyramid be constructed from three tetractyses, not one, so as to be consistent with construction of the square base from four tetractyses. As before, there are five pyramid corners and a centre of its square base, but now also four centres of its triangular faces, which are corners of tetractyses, making a total of ten corners of tetractyses. There are 24 sides of tetractyses (eight pyramid edges, four sides of tetractyses inside the perimeter of the base and three inside each triangular face), and there are 16 tetractyses (four in the square base and three in each face). The total number of corners, edges and triangles is 10 + 24 + 16 = 50, which is the number value of ELOHIM, the Godname of Binah, and the next Sephirah after Chokmah in the Tree of Life! This is appropriate in view of the fact that, according to Kabbalah, the most primitive notion of relationship and form first arises in Binah. Its Godname is here prescribing the geometrical composition of the pyramid in terms of its component corners, edges and triangles — the very geometrical elements that define its shape. Next, consider the central, vertical line joining the apex of the pyramid to the centre of its base (Fig. 14). This is part of the assembly of the pyramid from tetractyses because it is the common edge of four internal, right-angled triangles whose eight other edges are the four sloping, pyramid sides and the four half-diagonals of the square base. So there are five geometrical elements inside the pyramid (four triangles and their shared side). A pyramid whose faces are single tetractyses has (26 + 5 = 31) geometrical elements, where 31 is the number value of EL, the Godname of Chesed, the next Sephirah after Binah. A pyramid with three tetractyses in each face has (50 + 5 = 55) such elements, where 1 2 3 55 = 4 5 6 7 8 9 10 The 55th SL from the bottom of CTOL is the 496th from the top of CTOL, where 496 is both the number value of the Hebrew word ‘Malkuth’ signifying (on one level of meaning) the physical universe and the number of spin-1 particles that superstring theory predicts mediates the unified force between superstrings. 496 is what mathematicians would describe as the 31st triangular number, i.e., 17 496 = 1 + 2 + 3 +… + 31. It cannot surely be coincidence that the Godname numbers of the first four Sephiroth quantify successive stages of assembly of the pyramid from tetractyses, 21 yods creating its edge, 26 (then 50) geometrical elements forming its faces, and 31 elements forming its volume? If the four internal triangles are now regarded not as single tetractyses but as three tetractyses, this adds nine yods per triangle, that is, 36 yods in all, where 36 is the number value of ELOHA, the Godname of the next Sephirah after Chesed. Counting the yods in the 20 tetractyses assembling the pyramid, one finds that there are 80 yods (six inside, 74 on the faces and base). Of these, ten are corners of tetractyses (five pyramid corners, one centre of the base and four centres of its faces), this type of yod symbolising members of the Supernal Triad. So there are 70 yods, which are not corners of tetractyses, that is, there are 70 hexagonal yods, this type of yod symbolising the Sephiroth of Construction. Compare this with the fact that the Tree of Life is made up of 70 yods in its 16 tetractys-converted triangles, whilst the lowest tree in CTOL has 80 yods in its 25 tetractys-converted triangles (see Figures. 7 and 8). We find that the pyramid is constructed from as many yods as there are yods in the lowest Tree of Life of CTOL. This is very remarkable. In fact, as Figure 7 shows, 80 is the number of corners of the 94 tetractyses making up the two sets of seven enfolded regular polygons constituting the inner form of the Tree of Life. Moreover, it is the number value of Yesod, the penultimate Sephirah. But the mathematical analogy extends further: the 70:10 differentiation between hexagonal yods and yods at corners of tetractyses making up the pyramid corresponds to the 70 yods of the Tree of Life and the extra ten yods that are added to it when it is turned into the lowest Tree in CTOL. It also corresponds to the 70 corners of the two sets of seven enfolded polygons and their ten extra centres, which form the 80 corners of their tetractyses. Moreover, as the surface of the pyramid has 74 yods and the base has 25 yods, there are 49 yods in its faces above its base, where 49 is the number value of EL ChAI, Godname of Yesod. The total number of yods above its base is 55, which is the number of corners of the 48 tetractyses in the seven separate regular polygons. There is therefore a significant analogy between the pyramid, the Tree of Life and its inner form. We have found that 21 is the least number of yods needed to create the edges of a pyramid and 80 is its yod population. Suppose that we now assign either the number 21 to each yod making up the body of the pyramid or the number 80 to each yod on its edges (Fig. 15). In either case, their sum = 21×80 = 1680, which is the number of turns counted by Leadbeater in the helical whorl of the UPA. In this sense the pyramid, when seen as constructed by tetractyses, embodies the very cosmic parameter characterising the structure of the basic unit of matter, namely, the superstring. 18 In fact, the meaning of the Hebrew word ‘Yesod,’ whose number value is 80, is ‘foundation,’ which is very appropriate in this context. The 26 geometrical elements making up the faces and base of the pyramid (and therefore determining its shape) correspond to the 26 space-time dimensions of the closed bosonic string as which I have interpreted a whorl. Some writers have contended that the Great Pyramid is a scale model of the Earth and claim to have found all manner of terrestrial measures in its dimensions. Whether or not any of these claims is right, one can say with certainty that the pyramid shape bears a remarkable analogy to the outer and inner forms of the Tree of Life, as well as that hidden in its construction from tetractyses can be said to be the number quantifying the structure of what ultimately constitutes the universe, namely, the superstring. Of course, as the number 1680 is not present in a patent way but requires multiplication of two numbers that are implicit in its construction from tetractyses, sceptics might dismiss this as yet more pyramidology. However, they cannot so easily ignore the remarkable parallels with the Tree of Life and the lowest tree of CTOL. Nor can they dismiss the fact that at least six Godname numbers quantify the geometrical composition of the pyramid in such a way that is consistent with the order of appearance of their corresponding Sephiroth. They may argue that I have merely looked for properties that can be quantified by Godname numbers. If these properties were more convoluted in their meaning, this might be a fair criticism. But one does not have to search hard for Godname numbers in the pyramid, as one would if there really were no underlying connection between them and its geometrical design. On the contrary, their presence in the geometry of the pyramid is so natural that it cannot plausibly be regarded as coincidental or contrived. Moreover, the mathematical properties of the pyramid are arithmetically expressed by the Pythagorean Tetrad, or number 4, which I have proved (7) expresses the geometrical properties of the outer and inner forms of the Tree of Life — indeed, any object that possesses sacred geometry because it is a mathematical counterpart to the latter, as well as numbers of cosmic significance, like group-theoretical parameters of the superstring symmetry groups E8 and E8×E8 (see Article 1). Beautiful examples of how the Tetrad defines properties of the pyramid are: 1. its surface is made up of 64 hexagonal yods, where 64 = 43; 2. it is made up of 70 hexagonal yods, where 7 7 7 70 = 7 7 7 7 7 7 7 and 7 is the fourth, odd natural integer; 3. it is made up of 80 yods, where 19 8 8 8 80 = 8 8 8 8 8 8 8 and 8 is the fourth, even natural integer; 4. its 20 tetractyses have ten corners, where 10 = 1 + 2 + 3 + 4 and 20 is the 10th.even integer. It is clear that the presence of Godname numbers in the square pyramid has not been contrived. If it had been and this shape did not possess sacred geometry, there would not be so many powerful examples of how the Tetrad expresses its properties — always a signature of an object having sacred geometry when it is reconstructed from tetractyses, as my book The Image of God in Matter amply demonstrates. Instead, the presence of Godname numbers reflects the fact that the geometry of the pyramid is truly sacred. As the three-dimensional counterpart to the Tree of Life, its properties are necessarily prescribed by Godnames. References1. The Image of God in Matter —Evidence of Divine Design in the Subatomic World, by Stephen M. Phillips (to be published); 2. Yod, the tenth letter of the Hebrew alphabet, has the approximate appearance of a dot or point; 3. The Secret Doctrine, H.P. Blavatsky (Theosophical Publishing House, London, 1950), vol. 2, p. 337; 4. The Pythagorean Sourcebook and Library, Kenneth Sylvan Guthrie (Phanes Press, 1987); 5. Extra-sensory Perception of Quarks, by Stephen M. Phillips (Theosophical Publishing House, U.S.A., 1980); 6. ESP of Quarks and Superstrings, by Stephen M. Phillips (New Age International Publishers, Mumbai, India, 1999); 7. Reference 1. Life is a dream and we are the imagination of ourselves. |

shugendo ascetic master killerUser ID: 648337 United States 10/09/2009 04:08 PM Report Abusive Post Report Copyright Violation | ohhhhhhh... *strokes kung fu beard* Last Edited by shugendo ascetic master killer on 10/09/2009 04:10 PM mortal coil, kush master |

Lady Lara CroftUser ID: 790240 United States 10/09/2009 04:22 PM Report Abusive Post Report Copyright Violation | This is a whole bunch of information all at once. I am sure your point is in there somewhere. I will tell you what I know of Sacred Geometry: My experience right now includes the use and study of Sacred Geometry with other Ancient Symbols in order to decipher a message left by the Ancients or a map to somewhere that I feel was left by the Ancients. Yes, it is Sacred for it holds many secrets and Truths.There is truth in this you speak of, but it may not be for the reasons you believe or lead to the end you might think. |

Thesonofhendrix (OP)User ID: 790294 United Kingdom 10/09/2009 04:22 PM Report Abusive Post Report Copyright Violation | |

Thesonofhendrix (OP)User ID: 790294 United Kingdom 10/09/2009 04:24 PM Report Abusive Post Report Copyright Violation | This is a whole bunch of information all at once. I am sure your point is in there somewhere. Quoting: I will tell you what I know of Sacred Geometry: My experience right now includes the use and study of Sacred Geometry with other Ancient Symbols in order to decipher a message left by the Ancients or a map to somewhere that I feel was left by the Ancients. Yes, it is Sacred for it holds many secrets and Truths.There is truth in this you speak of, but it may not be for the reasons you believe or lead to the end you might think. Lady Lara CroftThe main reason for the Pythagorean reverence for the tetractys is that numbers expressing information about the nature of reality (space-time and beyond) manifest in objects possessing sacred geometry when they are re-assembled from tetractyses. In other words, the tetractys is the key that unlocksinformation about reality encoded in sacred geometry. Life is a dream and we are the imagination of ourselves. |

Lady Lara CroftUser ID: 790240 United States 10/09/2009 04:31 PM Report Abusive Post Report Copyright Violation | This is a whole bunch of information all at once. I am sure your point is in there somewhere. Quoting: I will tell you what I know of Sacred Geometry: My experience right now includes the use and study of Sacred Geometry with other Ancient Symbols in order to decipher a message left by the Ancients or a map to somewhere that I feel was left by the Ancients. Yes, it is Sacred for it holds many secrets and Truths.There is truth in this you speak of, but it may not be for the reasons you believe or lead to the end you might think. The main reason for the Pythagorean reverence for the tetractys is that numbers expressing information about the nature of reality (space-time and beyond) manifest in objects possessing sacred geometry when they are re-assembled from tetractyses. In other words, the tetractys is the key that unlocksinformation about reality encoded in sacred geometry. ThesonofhendrixI will use your references in my study on what I am looking at, and I am sure some answers will be there for me. I am not a disbeliever but a seeker of this knowledge. Thanks a bunch. |

Anonymous Coward User ID: 609027 Finland 10/09/2009 04:35 PM Report Abusive Post Report Copyright Violation | |

Thesonofhendrix (OP)User ID: 790294 United Kingdom 10/09/2009 04:40 PM Report Abusive Post Report Copyright Violation | This is a whole bunch of information all at once. I am sure your point is in there somewhere. Quoting: I will tell you what I know of Sacred Geometry: My experience right now includes the use and study of Sacred Geometry with other Ancient Symbols in order to decipher a message left by the Ancients or a map to somewhere that I feel was left by the Ancients. There is truth in this you speak of, but it may not be for the reasons you believe or lead to the end you might think. The main reason for the Pythagorean reverence for the tetractys is that numbers expressing information about the nature of reality (space-time and beyond) manifest in objects possessing sacred geometry when they are re-assembled from tetractyses. In other words, the tetractys is the key that unlocksinformation about reality encoded in sacred geometry. I will use your references in my study on what I am looking at, and I am sure some answers will be there for me. I am not a disbeliever but a seeker of this knowledge. Thanks a bunch. Lady Lara CroftNo problem. Life is a dream and we are the imagination of ourselves. |

Anonymous Coward User ID: 789247 United Kingdom 10/09/2009 04:40 PM Report Abusive Post Report Copyright Violation | [link to smphillips.8m.com] (p. 21). The number of spin-1 particles predicted to mediate the unified force between superstrings (248) is the number of points & lines needed to construct the faces of the first four Platonic solids. [link to smphillips.8m.com] (p. 21). The 64 vertices, edges & faces in each half of the first four Platonic solids are the polyhedral counterpart of the 64 codons in hunman mRNA and the 64 anticodons in human tRNa. [link to smphillips.8m.com] p. 35. Here is proof that the sacred geometry of the Platonic solids embodies fundamental numbers like the human diploid number 46, the dimension 248 of the superstring gauge symmetry group E8 and the 64x3 codon pattern in human RNA. |

Anonymous Coward User ID: 789247 United Kingdom 10/09/2009 04:45 PM Report Abusive Post Report Copyright Violation | How the Fibonacci numbers found in the phyllotaxis of plants are embodied in the sacred geometry of the five Platonic solids: [link to smphillips.8m.com] |

Thesonofhendrix (OP)User ID: 790294 United Kingdom 10/09/2009 04:46 PM Report Abusive Post Report Copyright Violation | op, what is sacred about geometry? Quoting: explain. Anonymous Coward 609027When it's nature transcends mere human perception/human knowledge. When within their geometry are mathematical truths that exist independent of human observation, that contain innate beauty, perfection and discribe the very nature of observable reality. Sacred geometry is therefore like a rosetta stone of the universe, it is beyond chance that it is a random occurance, and therefore must be divine. Life is a dream and we are the imagination of ourselves. |

Anonymous Coward User ID: 609027 Finland 10/09/2009 04:50 PM Report Abusive Post Report Copyright Violation | op, what is sacred about geometry? Quoting: explain. When it's nature transcends mere human perception/human knowledge. When within their geometry are mathematical truths that exist independent of human observation, that contain innate beauty, perfection and discribe the very nature of observable reality. Sacred geometry is therefore like a rosetta stone of the universe, it is beyond chance that it is a random occurance, and therefore must be divine. Thesonofhendrixnature is math. i know. but does a primitive have to call it sacred? sounds so stone-agey... |

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Thesonofhendrix (OP)User ID: 790784 United Kingdom 10/10/2009 09:12 AM Report Abusive Post Report Copyright Violation | good post OP. Only sacred geometry I'm familiar with is the band Tool's music. They use sacred geometry to write their tunes, specifically the drummer, Danny Carrey. Which is why their music destroys all other music. Quoting: Anonymous Coward 790792Yes, i know all about it. Specifically the song lateralus. Life is a dream and we are the imagination of ourselves. |

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Anonymous Coward User ID: 789247 United Kingdom 10/10/2009 11:20 AM Report Abusive Post Report Copyright Violation | The gematria number value of YAHWEH, the well-known Hebrew name of God, is 26: YHVH Y = 10 H = 5 V = 6 H = 5 Total = 26 This is the number of dimensions of space-time predicted by quantum mechanics for spinless strings. The gematria number value of ELOHIM ("And ELOHIM said: let us make man in our image") is 50. This is the number of vertices of the five Platonic solids, which also have 50 faces. Their number of vertices & centres is 55, where 55 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 1^2 + 2^2 + 3^2 + 4^2 + 5^2. 55 is also the tenth Fibonacci number, revealing how the five Platonic solids manifest one of "nature's numbers" - the Fibonacci numbers: 0,1,1,2,3,5,8,13,21,34,55,..... The dodecahedron has 21 vertices & centres and the first four Platonic solids have 34 vertices & centres. 21 and 34 are the eighth and ninth Fibonacci numbers (counting starts from "1"). The tetrahedron, octahedron & cube 21 vertices & centres and the icosahedron has 13 vertices & centres. 13 is the seventh Fibonacci number. The tetrahedron has 5 vertices & centres. 5 is the fifth Fibonacci number. Hence, the Platonic solids display the very numbers what determine the patterns of leaves in plants and the florets of sunflowers, etc. [link to images.google.com] |

Anonymous Coward User ID: 789247 United Kingdom 10/10/2009 11:47 AM Report Abusive Post Report Copyright Violation | How the sacred geometry of the inner form of the Tree of Life embodies the most mysterious number in physics - the number 137, whose reciprocal is approximately equal to the so-called "fine-structure constant" measuring the strength of the coupling of electrons to the electromagnetic field: [link to imagebin.org] (Use CTRL+wheel) to zoom out in the web page in order to see most of the image) Each colored point denotes the number 1. The geometry contains 1370 points, that is, the number of points in 137 Pythagorean tetractyses. |

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