Tag Category: Tetractys

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

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

I Ching
How the I Ching table of 64 hexagrams is isomorphic to the outer & inner Trees of Life.
www.smphillips.mysite.com/i-ching-table.html

The Sri Yantra
How the Sri Yantra is ismorphic to the outer & inner Trees of Life and to the 64 hexagrams in I Ching.
www.smphillips.mysite.com/the-sri-yantra.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

Power of the polygons
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.
www.smphillips.mysite.com/power-of-the-polygons.html

General view
The properties and information embodied in the seven polygons of the inner Tree of Life are analysed.
www.smphillips.mysite.com/general-view.html

Triangle
The Tree of Life parameters embodied in the triangle are analyzed.
www.smphillips.mysite.com/triangle.html

Pentagon
We analyze how the pentagon embodies parameters of the Tree of Life and other sacred geometries.
www.smphillips.mysite.com/pentagon.html

Hexagon
We analyze how the hexagon embodies parameters of the Tree of Life and other sacred geometries.
www.smphillips.mysite.com/hexagon.html

Octagon
We analyze how the octagon embodies parameters of the Tree of Life and other sacred geometries.
www.smphillips.mysite.com/octagon.html

Collective properties
The numbers embodied in the seven tetractys-divided polygons of the inner Tree of Life are analyzed.
www.smphillips.mysite.com/collective-properties.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

Cosmic Tetractys
91 tetractyes map the 91 subplanes of the seven cosmic planes of consciousness.
www.smphillips.mysite.com/cosmic-tetractys.html

Cosmic Tree of Life
How the inner form of the Tree of Life encodes the Cosmic Tree of Life when transformed by the tetractys.
www.smphillips.mysite.com/cosmic-tree-of-life.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

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

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

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

Real God Particle
The real "God Particle" is the UPA paranormally described over a century ago.
www.smphillips.mysite.com/real-god-particle.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 4
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.
www.smphillips.mysite.com/article-4.html

Article 5
The superstring described with micro-psi by Besant & Leadbeater is shown to be the microcosmic counterpart of the cosmic physical plane.
www.smphillips.mysite.com/article-5.html

Article 6
Superstring structure and dynamics are encoded in the 41-tree.
www.smphillips.mysite.com/article06.htm

Article 7
The first (5+5) enfolded polygons encode the fine-structure constant, superstring structural parameters and the human skeleton.
www.smphillips.mysite.com/article07.htm

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

Article 9
The square encodes structural and dynamical parameters of the superstring.
www.smphillips.mysite.com/article-9.html

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 14
The mathematical basis of the ancient Greek musical modes is analyzed and compared with the equal-tempered scale.
www.smphillips.mysite.com/article14.htm

Article 15
Connection is made between the micro-psi description of the UPA/superstring, the Fano plane, the Klein-quartic equation and the Lie group E8.
www.smphillips.mysite.com/article-15.html

Article 16
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.
www.smphillips.mysite.com/article-16.html

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 18
The I Ching table of 64 hexagrams encodes planetary distances, the oscillations of superstrings and their unified force.
www.smphillips.mysite.com/article-18.html

Article 20
The algebraic, arithmetic and geometric meaning of the 64 hexagrams in I Ching is given.
www.smphillips.mysite.com/article20.htm

Article 34
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.
www.smphillips.mysite.com/article-34.html

Article 40 (Part 1)
The polyhedral Tree of Life is encoded in its polygonal counterpart.
www.smphillips.mysite.com/article-40-(part-1).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 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 47 (Part 1)
The polyhedral Tree of Life is encoded in its polygonal counterpart.
www.smphillips.mysite.com/article-47-(part-1).html

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

Article 57
The first 4 polygons embody the dimension 496 of E8xE8 and SO(32).
www.smphillips.mysite.com/article-57.html

Article 58
A correspondence between the first 10 polygons and the 10 Sephiroth is established.
www.smphillips.mysite.com/article-58.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 60
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.
www.smphillips.mysite.com/article-60.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

Article 65
Formulae for the geometrical and yod populations id the outer and inner forms of N Trees of Life or N-tree.
www.smphillips.mysite.com/article-65.html

Article 66
The 16-cell is shown to be holistic and to embody the 496 roots of E8xE8.
www.smphillips.mysite.com/article-66.html

Latest research

Latest addition

More recent news

My latest book

Buy Now
(Order from author)

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.