Tag Category: Platonic solids

Sacred Geometries and Their Scientific Meanings

The interface between science and the transcendental as a mathematical theophany

Stephen M. Phillips

— part of the Oak Island mystery is finally solved.
(PDF)

New!
The sacred geometry
of the basic particle
of shadow matter/dark matter

"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

That deep emotional conviction of the presence of a superior reasoning power, which is revealed in the incomprehensible universe, forms my idea of God
Read more at: https://www.brainyquote.com/quotes/albert_einstein_112016

That deep emotional conviction of the presence of a superior reasoning power, which is revealed in the incomprehensible universe, forms my idea of God.
Read more at: https://www.brainyquote.com/quotes/albert_einstein_112016

That deep emotional conviction of the presence of a superior reasoning power, which is revealed in the incomprehensible universe, forms my idea of God.
Read more at: https://www.brainyquote.com/quotes/albert_einstein_112016

"That deeply emotional conviction of the presence of a superior, reasoning power, which is revealed in the incomprehensible universe, forms my idea of God."

That deep emotional conviction of the presence of a superior reasoning power, which is revealed in the incomprehensible universe, forms my idea of God.
Read more at: https://www.brainyquote.com/quotes/albert_einstein_112016

That deep emotional conviction of the presence of a superior reasoning power, which is revealed in the incomprehensible universe, forms my idea of God.
Read more at: https://www.brainyquote.com/quotes/albert_einstein_112016

Albert Einstein

Home
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.
www.smphillips.mysite.com

Articles
HTML and PDF articles.
www.smphillips.mysite.com/articles.html

Web
List of research articles as web pages.
www.smphillips.mysite.com/web.html

PDF
List of research articles as PDFs.
www.smphillips.mysite.com/pdf.html

Sacred geometry
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.
www.smphillips.mysite.com/sacred-geometry.html

The Platonic solids
www.smphillips.mysite.com/the-platonic-solids.html

Polyhedral Tree of Life
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.
www.smphillips.mysite.com/polyhedral-tree-of-life.html

Correspondences
The inner Tree of Life, Platonic solids, Sri Yantra and disdyakis triacontahedron are proved to be equivalent representations of holistic systems.
www.smphillips.mysite.com/correspondences.html

The holistic pattern
The basic holistic patterns within sacred geometries are analyzed.
www.smphillips.mysite.com/the-holistic-pattern.html

Maps of reality
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.
www.smphillips.mysite.com/maps-of-reality.html

Platonic solids
The five Platonic solids are shown to be equivalent to the Cosmic Tree of Life as a map of the spiritual cosmos.
www.smphillips.mysite.com/platonic-solids.html

Superstrings as sacred geometry
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.
www.smphillips.mysite.com/superstrings-as-sacred-geometry.html

Platonic solids
Superstring dynamics & structure are encoded in the sacred geometry of the Platonic solids.
www.smphillips.mysite.com/platonic-solid.html

Disdyakis triacontahedron
The disdyakis triacontahedron encodes the heterotic superstring according to the micro-psi description of the UPA published in Occult Chemistry.
www.smphillips.mysite.com/the-disdyakis-triacontahedron.html

Shadow matter
Sacred geometry confirms micro-psi observation of the basic unit of etheric matter, or the superstrings of shadow matter.
www.smphillips.mysite.com/shadow-matter.html

Polychorons & Gosset polytope
The six polychorons and the 421 polytope are analysed in the context of superstring theory and the UPA.
www.smphillips.mysite.com/polychorons-&-gosset-polytope.html

Triacontagon
Holistic patterns in the 8 triacontagons of the E8 Coxeter plane projection of the 421 polytope.
www.smphillips.mysite.com/triacontagon.html

Plato's Lambda
Plato's Lambda, its generalisation and its equivalence to sacred geometries.
www.smphillips.mysite.com/plato's-lambda.html

Wonders of sacred geometry
Spectacular examples of properties of sacred geometries that are indicative of divine intelligence.
www.smphillips.mysite.com/wonders-of-sacred-geometry.html

Correspondence
Correspondences between the Tree of Life, Sri Yantra, I Ching table, Platonic solids and the disdyakis triacontahedron.
www.smphillips.mysite.com/correspondence.html

Superstrings
How sacred geometries embody the dynamics and structure of superstrings.
www.smphillips.mysite.com/superstrings.html

Miscellaneous
Miscellaneous properties of sacred geometries.
www.smphillips.mysite.com/miscellaneous.html

Wonders of correspondences
Details of correspondences between sacred geometries.
www.smphillips.mysite.com/wonders-of-correspondences.html

Wonders of superstrings
How sacred geometries embody superstring structure and dynamics.
www.smphillips.mysite.com/wonders-of-superstrings.html

Miscellaneous wonders
Miscellanous wonders of sacred geometry.
www.smphillips.mysite.com/miscellaneous-wonders.html

Sacred art gallery
Gallery of sacred geometrical art for sale.
www.smphillips.mysite.com/sacred-art-gallery.html

My slideshows
Five sets of PowerPoint slideshows available for purchase and download.
www.smphillips.mysite.com/my-slideshows.html

137 in sacred geometries
How sacred geometries embody the number 137 determining the fine-structure constant and its connection to the superstring structural parameter 168.
www.smphillips.mysite.com/137-in-sacred-geometries.html

New book
Description of Stephen Phillips' new book.
www.smphillips.mysite.com/new-book.html

Article 1
A Tetrad Principle is formulated that reveals the Pythagorean nature of the parameters determining superstring and bosonic string theories.
www.smphillips.mysite.com/article-1.html

Article 2
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.
www.smphillips.mysite.com/article-2.html

Article 3
The true nature of the sacred geometry of the five Platonic solids is revealed.
www.smphillips.mysite.com/article-3.html

Article 8
The first four polygons of the iner Tree of Life encode superstring structural parameters.
www.smphillips.mysite.com/article08.htm

Article10
The dodecagon is the polygonal Tree of Life because it embodies holistic parameters.
www.smphillips.mysite.com/article10.html

Article 11
The meaning of Plato's Lambda and its equivalence to the Tree of Life.
www.smphillips.mysite.com/article11.htm

Article 12
The tetrahedral generalisation of Plato's Lambda Tetractys is described.
www.smphillips.mysite.com/article12.htm

Article 13
An analogy is explored between the ten whorls of the superstring and the musical potential of a 10-stringed harp.
www.smphillips.mysite.com/article13.htm

Article 17
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.
www.smphillips.mysite.com/article-17.html

Article 22
www.smphillips.mysite.com/article22.htm

Article 24
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.
www.smphillips.mysite.com/article-24.html

Article 25
The 33 layers of vertices of the disdyakis triacontahedron correspond to the 33 tree levels of ten overlapping Trees of Life.
www.smphillips.mysite.com/article-25.html

Article 26
It is shown that the disdyakis triacontahedron is a geometrical counterpart of the intervals between the notes in the seven musical scales.
www.smphillips.mysite.com/article-26.html

Article 28
The inner Tree of Life and the disdyakis triacontahedron encode the roots of the superstring gauge symmetry group E8.
www.smphillips.mysite.com/article-28.html

Article 29
The triakis tetrahedron and the disdyakis triacontahedron embody the fine-structure constant number 137.
www.smphillips.mysite.com/article-29.html

Article 30
The triakis tetrahedron, the disdyakis triacontahedron and Plato's Lambda tetractys are shown to be equivalent.
www.smphillips.mysite.com/article-30.html

Article 31
The composition of intervals in the eight church modes is related to the polyhedral Tree of Life.
www.smphillips.mysite.com/article-31.html

Article 40 (Part 2)
The sacred geometries of the Tree of Life, the Sri Yantra, the I Ching table and the disdyakis triacontahedron are shown to be equivalent.
www.smphillips.mysite.com/article40-(part-2).htm

Article 40 (Part 3)
The sacred geometries of the Tree of Life, the Sri Yantra, the I Ching table and the disdyakis triacontahedron are shown to be equivalent.
www.smphillips.mysite.com/article-40-(part-3).html

Article 40 (Part 4)
The sacred geometries of the Tree of Life, the Sri Yantra, the I Ching table and the disdyakis triacontahedron are shown to be equivalent.
www.smphillips.mysite.com/article-40-(part-4).html

Article 41
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.
www.smphillips.mysite.com/article41.htm

Article 42
The eight Church musical modes are compared with the human skeleton as holistic systems.
www.smphillips.mysite.com/article-42.html

Article 43
The 168 automorphisms of the Klein quartic tessellated on the 3-torus are shown to have a Tree of Life nature.
www.smphillips.mysite.com/article-43.html

Article 47 (Part 1)
The polyhedral Tree of Life is encoded in its polygonal counterpart.
www.smphillips.mysite.com/article-47-(part-1).html

Article 47 (Part 2)
Sacred geometries encode structural/dynamical properties of the E8xE8 heterotic superstring and the codon pattern of DNA.
www.smphillips.mysite.com/article-47-(part-2).html

Article 49
Different sacred geometries are equivalent representations of all levels of reality.
www.smphillips.mysite.com/article49.html

Article 50 (Part 1)
How the Golden Ratio, Fibonacci & Lucas numbers appear in sacred geometries.
www.smphillips.mysite.com/article50-(part-1).htm

Article 50 (Part 2)
The Golden Ratio, Lucas and Fibonacci numbers in sacred geometries.
www.smphillips.mysite.com/article50-(part-2).htm

Article 51
The connection between Fibonacci numbers and the Pythagorean musical scale is analogous to how they appear in the Platonic solids and other sacred geometries.
www.smphillips.mysite.com/article51.html

Article 53
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.
www.smphillips.mysite.com/article-53.html

Article 55
The five Platonic solids embody the five exceptional groups G2, F4, E6, E7 & E8.
www.smphillips.mysite.com/article-55.html

Article 56
The tetractys generates the universal pattern of sacred geometries.
www.smphillips.mysite.com/article-56.html

Article 59
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.
www.smphillips.mysite.com/article-59.html

Article 61
Tree of Life basis of an astrological era.
www.smphillips.mysite.com/article-61.html

Article 62
The two 600-cells in the 421 polytope embody the paranormally obtained superstring structural parameters 1680 and 16800.
www.smphillips.mysite.com/article-62.html

Article 63
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.
www.smphillips.mysite.com/i_fe7a62cfaef05e54.html

Slide 2
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.
www.smphillips.mysite.com/img1.html

Slide 3
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.
www.smphillips.mysite.com/img2.html

Slide 4
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.
www.smphillips.mysite.com/img3.html

Slide 5
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.
www.smphillips.mysite.com/img4.html

Slide 6
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.
www.smphillips.mysite.com/img5.html

Slide 7
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.
www.smphillips.mysite.com/img6.html

Slide 8
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.
www.smphillips.mysite.com/img7.html

Slide 9
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.
www.smphillips.mysite.com/img8.html

Slide 10
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.
www.smphillips.mysite.com/img9.html

Slide 11
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.
www.smphillips.mysite.com/img10.html

Slide 12
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.
www.smphillips.mysite.com/img11.html

Slide 13
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.
www.smphillips.mysite.com/img12.html

Slide 14
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.
www.smphillips.mysite.com/img13.html

Slide 15
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.
www.smphillips.mysite.com/img14.html

Slide 16
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.
www.smphillips.mysite.com/img15.html

Slide 17
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.
www.smphillips.mysite.com/img16.html

Slide 18
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.
www.smphillips.mysite.com/img17.html

Slide 19
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.
www.smphillips.mysite.com/img18.html

Slide 20
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.
www.smphillips.mysite.com/img19.html

Slide 21
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.
www.smphillips.mysite.com/img20.html

Article 64
How the 168:168 & 84:84 divisions in sacred geometries relate to superstrings.
www.smphillips.mysite.com/article-64.html

Latest research

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My latest book

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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.
(more)

Extra-sensory Perception
of Quarks
(PDF, 256 pages)

ESP of Quarks

ESP of Quarks & Superstrings
(PDF, 248 pages)

ESP of Quarks & Superstrings

Chapters 1-4	Chapters 5-6

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

Mathematical meanings of the Names of God

Part 1 (PDF)	Part 2 (PDF)

A short history of the fourth dimension

Webpage	PDF

How sacred geometries embody the 'fine-structure constant' number 137

The real "God particle"

Re-discovery of the Higgs boson

The sacred geometrical
nature of the 4₂₁ polytope
(PDF)

The 8 Church Modes as the musical counterpart of the 4₂₁ polytope

The Tree of Life basis of the subquark state of the E₈×E₈heterotic 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

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

The outer & inner forms of 10 Trees of Life that map the 10 dimensions of superstring space-time embody the superstring structural parameter 1680 (PDF)

1920 & 3840 embodied in sacred geometries (PDF)

New!
The outer & inner Tree of Life basis of the 496 roots of E₈×E₈′ (PDF)
Part 1
Part 2
Part 3

All material copyright Stephen Phillips © 2009, unless otherwise indicated.