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

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  • The outer and inner forms of the Tree of Life, the Platonic solids, the I Ching table of 64 hexagrams, the Sri Yantra, the disdyakis triacontahedron and the polychorons are shown to be equivalent representations of holistic systems and to embody the physics of superstrings as remote viewed by Annie Besant and C.W. Leadbeater.
    index.html
  • Annie Besant and C. W. Leadbeater published observations of alleged atoms and subatomic particles in their book Occult Chemistry. They are analyzed in terms of nuclear physics, the quark model and string theory. Their "UPA" is identified as the subquark state of the E8xE8 heterotic superstring.
    occult-chemistry.html
  • The descriptions of the atoms of the first 20 elements (plus gold) described with micro-psi by Annie Besant & C.W. Leadbeater are analysed in terms of nuclear physics and the quark model.
    remote-viewing-of-atoms.html
  • Introduction to analysis of MPAs remote-viewed by Besant & Leadbeater.
    introduction.html
  • Analysis of the MPA of deuterium remote-viewed by Besant & Leadbeater.
    deuterium.html
  • Analysis of the helium MPA remote-viewed by Besant & Leadbeater.
    helium.html
  • Analysis of the lithium MPA remote viewed by Besant & Leadbeater.
    lithium.html
  • Analysis of the beryllium MPA remote-viewed by Besant & Leadbeater.
    beryllium.html
  • Analysis of the boron MPA remote-viewed by Besant & Leadbeater.
    boron.html
  • Analysis of the carbon MPA remote-viewed by Besant & Leadbeater.
    carbon.html
  • Analysis of the nitrogen MPA remote-viewed by Besant & Leadbeater.
    nitrogen.html
  • Analysis of oxygen MPA remote-viewed by Besant & Leadbeater.
    oxygen.html
  • Analysis of the fluorine MPA remote-viewed by Besant & Leadbeater.
    fluorine.html
  • Analysis of fluorine MPA remote-viewed by Besant & Leadbeater.
    neon.html
  • Analysis of the sodium MPA remote-viewed by Besant & Leadbeater.
    sodium.html
  • Analysis of sodium MPA remote-viewed by Besant & Leadbeater.
    magnesium.html
  • Analysis of the aluminium MPA remote-viewed by Besant & Leadbeater.
    aluminium.html
  • Analysis of the silicon MPA remote-viewed by Besant & Leadbeater.
    silicon.html
  • Analysis of the phosphorus MPA remote-viewed by Besant & Leadbeater.
    phosphorus.html
  • Analysis of the sulphur MPA.
    sulphur.html
  • Analysis of the chlorine MPA remote-viewed by Besant & Leadbeater.
    chlorine.html
  • Analysis of argon MPA.
    argon.html
  • Analysis of the potassium MPA remote-viewed by Besant & Leadbeater.
    potassium.html
  • Analysis of the calcium MPA remote-viewed by Besant & Leadbeater.
    calcium.html
  • Analysis of the gold MPA described with micropsi by Annie Besant and C.W. Leadbeater.
    gold.html
  • HTML and PDF articles.
    articles.html
  • List of research articles as web pages.
    web.html
  • List of research articles as PDFs.
    pdf.html
  • Sacred geometries are the outer and inner Trees of Life, the Sri Yantra and the polyhedral Tree of Life composed of the 144 Polyhedron and the disdyakis triacontahedron. They are isomorphic to the 64 hexagrams in the I Ching.
    sacred-geometry.html
  • Constructed from tetractyses. the outer and inner Trees of Life display their isomorphism to the I Ching array of hexagrams, the Sri Yantra and the polyhedral Tree of Life.
    the-tree-of-life.html
  • the-platonic-solids.html
  • How the I Ching table of 64 hexagrams is isomorphic to the outer & inner Trees of Life.
    i-ching-table.html
  • How the Sri Yantra is ismorphic to the outer & inner Trees of Life and to the 64 hexagrams in I Ching.
    the-sri-yantra.html
  • How the polyhedral Tree of Life is encoded in the outer & inner Tree of Life and is isomorphic to the 64 hexagrams of the I Ching and to the Sri Yantra.
    polyhedral-tree-of-life.html
  • The inner Tree of Life, Platonic solids, Sri Yantra and disdyakis triacontahedron are proved to be equivalent representations of holistic systems.
    correspondences.html
  • The basic holistic patterns within sacred geometries are analyzed.
    the-holistic-pattern.html
  • We analyze how polygons embody numbers that are parameters of sacred geometries such as the Tree of Life and which relate through the tetractys of Pythagoras to the number values of the Divine Names in Kabbalah.
    power-of-the-polygons.html
  • The properties and information embodied in the seven polygons of the inner Tree of Life are analysed.
    general-view.html
  • The Tree of Life parameters embodied in the triangle are analyzed.
    triangle.html
  • We analyze how the square embodies the parameters of the Tree of Life and other sacred geometries.
    square.html
  • We analyze how the pentagon embodies parameters of the Tree of Life and other sacred geometries.
    pentagon.html
  • We analyze how the hexagon embodies parameters of the Tree of Life and other sacred geometries.
    hexagon.html
  • We analyze how the octagon embodies parameters of the Tree of Life and other sacred geometries.
    octagon.html
  • We analyze how the decagon embodies parameters of the Tree of Life and other sacred geometries.
    decagon.html
  • We analyze how the dodecagon embodies parameters of the Tree of Life and other sacred geometries.
    dodecagon.html
  • The numbers embodied in the seven tetractys-divided polygons of the inner Tree of Life are analyzed.
    collective-properties.html
  • The inner Tree of Life encodes the Cosmic Tree of Life. The Platonic solids, the Sri Yantra and the disdyakis triacontahedron are shown to be equivalent maps of the spiritual cosmos.
    maps-of-reality.html
  • 91 tetractyes map the 91 subplanes of the seven cosmic planes of consciousness.
    cosmic-tetractys.html
  • How the inner form of the Tree of Life encodes the Cosmic Tree of Life when transformed by the tetractys.
    cosmic-tree-of-life.html
  • The five Platonic solids are shown to be equivalent to the Cosmic Tree of Life as a map of the spiritual cosmos.
    platonic-solids.html
  • The Sri Yantra is shown to be equivament to the Cosmic Tree of Life.
    sri-yantra.html
  • The disdyakis triacontahedron is shown to be equivalent to the Cosmic Tree of Life and the Sri Yantra as a map of the spiritual cosmos.
    disdyakis-triacontahedron.html
  • How the E8xE8 heterotic superstring is encoded in the sacred geometry of the outer & inner Trees of Life, the Sri Yantra, the disdyakis triacontahedron and in the hexagrams of the I Ching.
    superstrings-as-sacred-geometry.html
  • The outer & inner Trees of Life, the Platonic solids encode the gauge symmetry groups E8 and E8xE8 of the heterotic superstring. They encode its structure according to the micro-psi description of the UPA.
    tree-of-life.html
  • Superstring dynamics & structure are encoded in the sacred geometry of the Platonic solids.
    platonic-solid.html
  • The I Ching table of 64 hexagrams embodies the structure of the superstring as the UPA described with micro-psi in Occult Chemistry.
    i-ching.html
  • The Sri Yantra encodes the superstring as the UPA described with micro-psi in Occult Chemistry.
    the-sri-yantras.html
  • The disdyakis triacontahedron encodes the heterotic superstring according to the micro-psi description of the UPA published in Occult Chemistry.
    the-disdyakis-triacontahedron.html
  • List of links to pages about polychorons and the 421 polytope.
    4-d-sacred-geometries.html
  • The six polychorons and the 421 polytope are analysed in the context of superstring theory and the UPA.
    polychorons-&-gosset-polytope.html
  • Holistic patterns in the 8 triacontagons of the E8 Coxeter plane projection of the 421 polytope.
    triacontagon.html
  • The Divine Names prescribe the holistic nature of the seven musical scales or Church modes.
    the-seven-musical-scales.html
  • Plato's Lambda, its generalisation and its equivalence to sacred geometries.
    plato's-lambda.html
  • The Tree of Life basis of the human axial and appendicular skeletons is described.
    human-skeleton.html
  • Polygonal numbers express parameters of holistic systems, including superstrings.
    polygonal-numbers.html
  • Spectacular examples of properties of sacred geometries that are indicative of divine intelligence.
    wonders-of-sacred-geometry.html
  • Correspondences between the Tree of Life, Sri Yantra, I Ching table, Platonic solids and the disdyakis triacontahedron.
    correspondence.html
  • How sacred geometries embody the dynamics and structure of superstrings.
    superstrings.html
  • Miscellaneous properties of sacred geometries.
    miscellaneous.html
  • Details of correspondences between sacred geometries.
    wonders-of-correspondences.html
  • How sacred geometries embody superstring structure and dynamics.
    wonders-of-superstrings.html
  • Miscellanous wonders of sacred geometry.
    miscellaneous-wonders.html
  • Gallery of sacred geometrical art for sale.
    sacred-art-gallery.html
  • Five sets of PowerPoint slideshows available for purchase and download.
    my-slideshows.html
  • The titles of my books are "Extra-sensory perception of quarks", "Remote viewing of subatomic particles: anima - a yogic siddhi", "ESP of quarks and superstrings" and "The Mathematical Connection between Religion and Science".
    my-books.html
  • Recent discoveries in particle physics and superstring theory that may relate to the micro-psi observations of quarks and subquarks by Annie Besant and C.W. Leadbeater.
    news.html
  • Contents of "The mathematical connection between religion and science".
    book-contents.html
  • contact.html
  • A search form.
    site-search.html
  • An animated construction of the Sri Yantra.
    sri-yantra-construction.html
  • The real "God Particle" is the UPA paranormally described over a century ago.
    real-god-particle.html
  • Excerpt from "Occult Investigations."
    jinarajadasa.html
  • Rare audio tape of talk by Charles W. Leadbeater
    leadbeater.html
  • Description of Stephen Phillips' new book.
    new-book.html
  • Three videos on the life and work of Annie Besant.
    videos.html
  • Video about the Standard Model of particle physics.
    cern-the-standard-model-video.html
  • Video explaining the nature of matter and its forces
    force-and-matter-video.html
  • A video explains quarks in terms of the Standard Model.
    quarks-video.html
  • The video explains gluons in terms of the Standard Model.
    gluons-video.html
  • The Standard Model explains electrons, protons and neutrons.
    electrons,-protons-and-neutrons-video.html
  • Thge Standard Model explains neutrinos.
    neutrinos-video.html
  • We explore different historical concepts of the fourth dimension of space discussed by Poincare, Blavatsky, Leadbeater, Hinton (tesseract), Bragdon & Ouspensky.
    a-short-history-of-the-fourth-dimension.html
  • A Tetrad Principle is formulated that reveals the Pythagorean nature of the parameters determining superstring and bosonic string theories.
    article-1.html
  • The Theosophists' "physical plane" is related to 26-dimensional space-time and etheric matter is identified as the shadow matter predicted by E8xE8 heterotic superstring theory.
    article-2.html
  • The true nature of the sacred geometry of the five Platonic solids is revealed.
    article-3.html
  • The Godnames of the ten Sephiroth prescribe the inner Tree of Life, the first (6+6) enfolded polygons and the (7+7) enfolded polygons encoding CTOL.
    article-4.html
  • The superstring described with micro-psi by Besant & Leadbeater is shown to be the microcosmic counterpart of the cosmic physical plane.
    article-5.html
  • Superstring structure and dynamics are encoded in the 41-tree.
    article06.htm
  • The first (5+5) enfolded polygons encode the fine-structure constant, superstring structural parameters and the human skeleton.
    article07.htm
  • The first four polygons of the iner Tree of Life encode superstring structural parameters.
    article08.htm
  • The square encodes structural and dynamical parameters of the superstring.
    article-9.html
  • The dodecagon encodes structural and dynamical parameters of the superstring.
    article-10.html
  • The meaning of Plato's Lambda and its equivalence to the Tree of Life.
    article11.htm
  • The tetrahedral generalisation of Plato's Lambda Tetractys is described.
    article12.htm
  • An analogy is explored between the ten whorls of the superstring and the musical potential of a 10-stringed harp.
    article13.htm
  • The mathematical basis of the ancient Greek musical modes is analyzed and compared with the equal-tempered scale.
    article14.htm
  • Connection is made between the micro-psi description of the UPA/superstring, the Fano plane, the Klein-quartic equation and the Lie group E8.
    article-15.html
  • The intervals between notes in the seven musical scales is analysed and shown to be prescribed by the Godnames. Parallels are made between the UPA/superstring structural parameter 168, octonions, the Klein quartic and the seven musical scales.
    article-16.html
  • The Titius-Bode law is generalised in order to include Neptune and Pluto. An octet pattern appears that is analogous to the octets of electrons in atoms, baryons & mesons, the notes of the octave and the eight unit octonions.
    article-17.html
  • The I Ching table of 64 hexagrams encodes planetary distances, the oscillations of superstrings and their unified force.
    article-18.html
  • Parallels are made between the eight trigrams of the I Ching table, the eight church modes and other 8-fold systems.
    article19.htm
  • The algebraic, arithmetic and geometric meaning of the 64 hexagrams in I Ching is given.
    article20.htm
  • Isomorphism is established between the I Ching table of 64 hexagrams, the 3x3x3 array of cubes and the Klein Configuration.
    article21.htm
  • article22.htm
  • The polyhedral counterpart of the Tree of Life is shown to consist of a polyhedron with 144 faces and the disdyakis triacontahedron with 120 faces.
    article-23.html
  • The faces of the 28 polyhedra contained in the disdyakis triacontahedron as the polyhedral Tree of Life contain 3360 hexagonal yods/ They denote the number of oscillatory waves in the ten whorls of the E8xE8 heterotic superstring described by Annie Besant and C.W. Leadbeater.
    article-24.html
  • The 33 layers of vertices of the disdyakis triacontahedron correspond to the 33 tree levels of ten overlapping Trees of Life.
    article-25.html
  • It is shown that the disdyakis triacontahedron is a geometrical counterpart of the intervals between the notes in the seven musical scales.
    article-26.html
  • The superstring structural parameter recorded by Besant and Leadbeater is shown to be embodied in the disdyakis triacontahedron.
    article-27.html
  • The inner Tree of Life and the disdyakis triacontahedron encode the roots of the superstring gauge symmetry group E8.
    article-28.html
  • The triakis tetrahedron and the disdyakis triacontahedron embody the fine-structure constant number 137.
    article-29.html
  • The triakis tetrahedron, the disdyakis triacontahedron and Plato's Lambda tetractys are shown to be equivalent.
    article-30.html
  • The composition of intervals in the eight church modes is related to the polyhedral Tree of Life.
    article-31.html
  • The bone and acupoint compositions of the human body are derived form its Tree of Life representation.
    article-32.html
  • The human axial skeleton is shown to be the trunk of the Tree of Life.
    article33.html
  • The bones of the human skeleton, the superstring symmetry groups E8 & E8xE8 and superstring structural parameters are encoded in the seven layers of vertices of the disdyakis triacontahedon.
    article-34.html
  • The Sri Yantra is equivalent to the Tree of Life. It embodies the superstring structural parameter 336.
    article-35.html
  • The 15 polygons defined by the vertices of the disdyakis triacontahedron encode the dimension 248 of the superstring symmetry group E8 and the 840 spirillae in each half of a whorl of the UPA.
    article-36.html
  • The Tree of Life pattern of seven octaves of the seven musical scales and their counterpart in the disdaykis triacontahedron.
    article-37.html
  • The disdyakis triacontahedron as the polyhedral representation of the intervals between the notes in the seven musical scales.
    article-38.html
  • The 64x3 pattern of intervals between notes in the seven musical scales is compared with the 64 trigrams in the I Ching table and the 64 triplets of yods in each half of the Sri Yantra.
    article-39.html
  • The polyhedral Tree of Life is encoded in its polygonal counterpart.
    article-40-(part-1).html
  • The sacred geometries of the Tree of Life, the Sri Yantra, the I Ching table and the disdyakis triacontahedron are shown to be equivalent.
    article40-(part-2).htm
  • The sacred geometries of the Tree of Life, the Sri Yantra, the I Ching table and the disdyakis triacontahedron are shown to be equivalent.
    article-40-(part-3).html
  • The sacred geometries of the Tree of Life, the Sri Yantra, the I Ching table and the disdyakis triacontahedron are shown to be equivalent.
    article-40-(part-4).html
  • When the polygons of the inner Tree of Life are regarded as the bases of pyramids, the latter encode the superstring structural parameters 336 and 16800. They also encode the bones of the human body.
    article41.htm
  • The eight Church musical modes are compared with the human skeleton as holistic systems.
    article-42.html
  • The 168 automorphisms of the Klein quartic tessellated on the 3-torus are shown to have a Tree of Life nature.
    article-43.html
  • The disdyakis triacontahedron encodes CTOL and the superstring structural parameter 1680.
    article44.htm
  • The 1680 1st-order spirillae of a whorl of the heterotic superstring as 1680 harmonics of the Pythagorean musical scale.
    article45.htm
  • Sacred geometries encode the 64 codons of mRNA and the 64 anticodons of tRNA.
    article-46.html
  • The polyhedral Tree of Life is encoded in its polygonal counterpart.
    article-47-(part-1).html
  • Sacred geometries encode structural/dynamical properties of the E8xE8 heterotic superstring and the codon pattern of DNA.
    article-47-(part-2).html
  • The two sets of the first four enfolded polygons encode the 248 roots of the superstring gauge symmetry group E8.
    article48.htm
  • Different sacred geometries are equivalent representations of all levels of reality.
    article49.html
  • How the Golden Ratio, Fibonacci & Lucas numbers appear in sacred geometries.
    article50-(part-1).htm
  • The Golden Ratio, Lucas and Fibonacci numbers in sacred geometries.
    article50-(part-2).htm
  • The connection between Fibonacci numbers and the Pythagorean musical scale is analogous to how they appear in the Platonic solids and other sacred geometries.
    article51.html
  • The Godnames EHYEH, YAH & YAHWEH determine the root structure and dimension of E8.
    article52.html
  • Four sacred geometries - the inner Tree of Life, the first three Platonic solids, the Sri Yantra & the disdyakis triacontahedron - are shown to have a 10x24 division that manifests as the UPA/subquark state of the E8xE8 heterotic superstring.
    article-53.html
  • The combined outer and inner Trees of Life and their properties.
    article-54.html
  • The five Platonic solids embody the five exceptional groups G2, F4, E6, E7 & E8.
    article-55.html
  • The first 4 polygons embody the dimension 496 of E8xE8 and SO(32).
    article-57.html
  • A correspondence between the first 10 polygons and the 10 Sephiroth is established.
    article-58.html
  • The geometrical and yod composition of the three polygons absent from the inner Tree of Life are shown to embody the root structure of E8 and E8xE8 describing one of the two types of heterotic superstrings.
    article-59.html
  • The seven Type C polygons of the inner Tree of Life embody structural parameters of the UPA/superstring, the dimension of E8 and E8xE8, and the number 137 determining the fine-structure constant.
    article-60.html
  • Tree of Life basis of an astrological era.
    article-61.html
  • The two 600-cells in the 421 polytope embody the paranormally obtained superstring structural parameters 1680 and 16800.
    article-62.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    i_fe7a62cfaef05e54.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img1.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img2.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img3.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img4.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img5.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img6.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img7.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img8.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img9.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img10.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img11.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img12.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img13.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img14.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img15.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img16.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img17.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img18.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img19.html
  • Sacred geometries embody the number of edges of the 421 polytope whose 240 vertices define the 240 root vectors of the exceptional Lie group E8.
    img20.html
  • How the 168:168 & 84:84 divisions in sacred geometries relate to superstrings.
    article-64.html
  • Formulae for the geometrical and yod populations id the outer and inner forms of N Trees of Life or N-tree.
    article-65.html
  • This site explores the sacred geometries of the Tree of Life, the Sri Yantra, the Platonic solids, the I Ching table of 64 hexagrams and the disdyakis triacontahedron. It shows their equivalence and decodes their scientific meaning in terms of heterotic superstrings, musical scales, the human skeleton and DNA.
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Proof that the sacred geometries of religions embody a universal design that encodes the physics of superstrings, the human skeleton, DNA and the mathematics of the seven musical scales.
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Extra-sensory Perception
of Quarks
(PDF, 256 pages)

ESP of Quarks

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ESP of Quarks & Superstrings
(PDF, 248 pages)

ESP of Quarks & Superstrings

Chapters 1-4   Chapters 5-6

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Outer & inner Tree of Life basis of E8 and E8×E8 (PDF)

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Mathematical meanings of the Names of God

Part 1 (PDF)

Part 2 (PDF)

Part 1

Part 2

A short history of the fourth dimension

Webpage

PDF

Part 2

Part 2

The real "God particle"

Re-discovery of the Higgs boson

The sacred geometrical nature of the 421 polytope (PDF)

The Tree of Life basis of the subquark state of the E8×E8 heterotic superstring (PDF)

The UPA & the 421 polytope as the outer & inner forms of 10 Trees of Life (PDF)

How eight sacred geometries embody the 84:84:84:84 division (PDF)

Particle remote-viewed a century ago shown to be an E8×E8 heterotic superstring (PDF)

The inner Tree of Life & the 5 Platonic solids embody the 'fine-structure constant' number 137 (PDF)

The disdyakis triacontahedron embodies the 'fine-structure constant' number 137

The Polyhedral Tree of Life embodies the 'fine-structure constant' number 137

The outer & inner Trees of Life represent the roots of E8 and E8×E8

Sacred-geometrical connections between the UPA and the 421 polytope (PDF)