Discoveries in Sacred Geometry & Architecture
1987-1995 thru current
Joseph Matto Architect AIA
Site Subject to Revisions
Star Gate - Star Bridge ©1987
('StarGate' Concept & Inception, Geometric Models, & following Quotes & Original Poetry ....first created and/or cited in 1987)
Universal Mythical Archetypes of Transformation
"A structured constellation of ideas, images and related exercises yielding transformational experiences will have appeared
over an extensive historical field...unmistakably of
"One Originating Structure".
Joseph Campbell - "The Inner Reaches of Outer Space"
"The very dialectic of the sacred tends to repeat a series of archetypes,
such that a hierophany realized at a certain historical moment
is Structurally Equivalent to a hierophany a thousand years earlier or later".
Mircea Eliade - "Rites and Symbols of Initiation"
Star Bridge Sculpture 1990
Modeling of Axial Core, Centroidal Vectors, Rays
& Ring Planes
Five "ring planes" (co-planar and vertically aligned with 5 vertices of 2 TOT's) Five stacked Rings proportion the Tetrahelix vertices stabilizing the dynamics of a rotational Waveform
Morphologically similar Iconography or Unique Structures?
- 5 Granite Beams of King's Chamber Superstructure
- Biblical tetramorphs
- Stargate Movie Transporter
TetraWave Torsional & "Bi-Directional" Waveform
Derived from the rotation & self-referential progression/transmission of the Centroidal Bond Vectors & TOT Pair Axis within the Tetrahelix Framework
Twin Interpenetrated Hypar Fields
Comprised of two simultaneously generated identical "HYPAR" fields that interpenetrate each other
A 3rd 'Inner Core Channel' is formed ....a "Conduit" defined by the fields that expresses the Golden Mean Ratio or PHI.
In cross-section this "Channel" can be understood as a Mandorla, the Vesica-Pisces, or the Nimbus of a radiant hyperbolically enveloped divine consciousness. This core locus of an all-pervasive instantaneously creative intelligence...divine consciousness....connects all living things. Like a USB wire on your cell phone it transmits both the Power Source AND the Information Data Source. It is Instantaneous outside of the phenomenal world. It is the fire within....permeating the luminous ground of all reality and existence. Its passage is...Life.
Passage of the Divine Bird
None can describe its flight,
though we think we know
what it cannot be
or should not be -
not dart or swoop,
no labored flapping.
Something elegant, majestic -
a great soaring arc perhaps,
or a raptor plummet
from the dazzling sun.
Possibly all of these;
just as possibly, none.
This is no bird bird
but a Divine bird,
and it is more than flight:
it is passage,
passage though our lives
through each life.
That is how we know
this bird is divine -
as it passes through life,
never pauses, stops -
nor do I,
nor can it.
Poems by Rev. Robley E. Whitson.
Theological Dept. Chairman Fordham University 1963-85-
Visiting Scholar Princeton 1967,
In Grateful Memory ....A Friend and Mentor
Rev. Robley E. Whitson
2/1/1931 - 6/12/2019
"The Coming Convergence of World Religions" - 1971
Co-founder with Davyne Verstandig of the Washington Writer's Group,
of which I was a member, fellow poet, and humble Wizard's Apprentice. :)
Elevation Perspective...As if rising from the Giza Pyramid.
Bond vectors are resonantly matched perfectly to the Pyramid's Slope Angle..tuned by the inner location of the king's chamber and complex relationship of resonant frequencies powered by the energy produced by the Giza Power Plant....
(See Chris Dunn's work).
Golden Mean Footprint
Passage of the TetraWaveform thru a 2-D plane, perpendicular to the TetraWave axis, imprints a trace that in 2-D is the Golden Mean Ratio! The progression is axial, but the Rotation of the waveform is Eccentric relative to the centroids.This is perhaps why the true center of any spiral of flowers, seeds or leaves can never be found even at the smallest scales. Each growth center is relative to the last, but rotated in time. In 2-D it appears as the so called "Phi-Angle" of 137.5º... BUT really, it is the tetrawave's centroidal rotation angle extended in space OVER TIME from TOT to TOT eccentrically at....131.81º....that generates the 2-d geometry of the golden PHI angle.
Plan View - Cross Section
Plan View of the first TOT-Pair of a Tetrahelix showing centroid locations
of each TOT prior to rotation/progression. This superimposed cross section shows the
projected Edges, Centroidal Bond Vector & TOT Pair Axis.
Significant mathematical relationships emerge including the Golden Mean Core & √5 ratio.
√2 & √3 are the relations between square, triangle and circle, AND the arctangent √2/3 is the angle of tilt for the orientation of the first triangular face of a TOT. This was difficult to determine initially until I understood the cylindrical morphology of the Tetrahelix and that ALL vertices lie on the surface of a cylinder equidistant apart. (See geometric study models under index item 8 ...."Tetrahelix to TetraWaveform))
The TetraWave geometry also corresponds precisely to the Egyptian 11:11 Grid and radially to octagonally rotated structures such as the Dome of the Rock and most grid based sacred architecture.
The dimensions of this footprint illustration reference a core unit-circle radius equal to 1.
The largest gray circle is congruent with the 11:11 Grid (Egyptian Geometry Reference)
and is the Circular Perimeter of a Tetrahedron resting flat on one Face.
The larger black circle is the cylindrical envelope of the Tetrahelix.
The smallest black circle is the tangent of core at narrowest point.
The smaller intermediate circle is the orbit of the centroids in each TOT.
The very small 2 red circles are the Centroids of each TOT.
The Bond Vector distance is √5... and is in a PHI ratio relative to the Core Diameter.
The Bond Vectors are tangent to the core (smallest circle),
and they define & generate the core by the circum-rotation of these vectors
as the TOT Pairs progress in space, individually or as a chain of TOTs.
What is a TOT?
A "Tetra-Helically Oriented Tetrahedron"
TOTs extend in space creating a regular tetrahelix with a common central axis. TOT Pairs as "face-bonded' tetrahedrons, share a triangular face between the TOTs or "Common-Hedral".
The axis of each TOT pair, when rotated progressively, defines two interpenetrating fields or membranes as hyperbolic paraboloids or Hypars, which is also congruent with the centroidal vector bonds.
Tetrahelices are Enantiomorphic exhibiting either a right-hand twist or a left-hand twist.
The orientation of the 4th Tetrahedron (2 TOTs) determines the spin direction.
Implying that each triplet of 3 tetrahedrons is spin neutral.
Sculpture & photo sequence showing progression of elements that create the twin Hypar fields of the TetraWave. This is a only a static structure, a "Snapshot" of the more dynamic and complex rotating geometry of form-energy resonance. The Illuminated core is actually a Vesica Pisces "Envelope" of EM fields in cross-section that rotates along the axis. (This Vesica Pisces shape is illustrated in cross sections of the CAD models.)
Core Flow Channel thru Linear TetraCrystal
Core Flow & Centroidal Paths correspond twith DNA Helix
TOT Centroids as red & blue beads around Hypar Core within Tetrahelix Frame
Twin Hypar Fields On Axis with Solar Ray
Overhead view of TetraWave Hypars in Static Tetrahelix Frame within an Alternating Tetra-helical Toroidal Ring
(Before fabricating the Moebius Plasma Induction Ring Wave - Shown Below)
Tetra-Toroidal Moebius Plasma Induction Ring
7-fold Geometry - 28 Tetrahedrons - 14 Regular Inward-Facing, 14 Irregular Outward Facing
Entry - 1990
Osaka Design Competition
Facility of Unknown Process
- StarGate Inter-dimensional Trans-temporal Portal & Bridge
-DNA Formative & Resonant Coding/Transcription Structure
-Zero-Point Energy Tap & Conversion System
-Natural or Synthetic Telepathy System
- Birkeland Current
-Planck Scale "Worm-Hole"
All of the Above,
A Cosmic Scale "Black Hole"?
(as Plasmoid or Plasma Toroidal Induction Ring)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
April 10th 2018
Announcement of 1st image of A "Black Hole" ?
From The Event Horizon Telescope
Avery Broderick of Perimeter Institute - Supported by National Science Foundation
Painting by Ingo Swann
Featuring Egyptian Glyph for the 2/3 Fraction of UNITY
Drawing by Joseph Matto
Black Hole Accretion Code
BHAC, Porth et al. (2017)
Hypar Toroidal Plasma Ring
Twin Hypar Field Tetra-Waveform
as Double Wall Electric Jets
Joseph Matto 1987-1990
(Physical Model Photo-altered
to Express Flare Extension & Symmetry - 2019)
"TOT Pair Footprint"
Vajra shown Centroid to Centroid
Fractal Tetrahelix Framework
for infinitely nested Tetrawaves of Living Data Structures
All Cores Connected via Resonance
1,2, & 4 Frequency hedrals of 4 TOT Tetrahelix
showing centroids and TOT axis thru each pair.
Transition from flat triangle within circle to TOTs is accomplished by varying strut lengths sequentially by exactly 1/3 and then 2/3 of edge length of one tetrahedron.
The cylinder that encloses the Tetrahelix/Tetrawave (T/T) is exactly 10% smaller than the originating circle and its axis is eccentrically offset from the originating circle by 1/10th.
The cross section of the T/T can be mapped perfectly onto an 11x11 Grid
inclusive of the originating circle in 2D.
(See section 7 - )
The same grid within the perimeter of the cylinder (the envelope of the Tetrawave) is a 9x9 subset grid of the original 11:11 grid. The 9x9 grid rotates around, and tangentially circumvents and defines the T/T core, within which another T/T can be imagined nesting inwardly in an infinite regress.
Inversely the T/T can be expanded outwardly in an infinite expansion.
I suspect the mathematics of this matrix can be correlated to the brilliant work of
Robert Grant and his theory of the Etymology of Number.
It is my belief The Tetrawave is the central living bio-data structure of all the universe.
The internal twin hypar fields when they pass thru either the upper gate (Crown Chakra) or lower gate (Root Chakra) will then extend out and around mapping onto a torus.
In this way the entire toroidal energy form with the TetraWave core
Becomes as it were, a single instance of consciousness.
This same structure is implied in the structure of the solar system with Birkeland currents connecting planets to the sun and then the sun at the center extends out and around mapping onto the heliopause, which has been shown to have a double field boundary.
Each field of the double field boundary mapped on the torus is the same twin or double field hypars within Tetrawave. In this way we have a Universe of Pearls all connected with a divine essence at the core.
Special word of Thanks and Gratitude to my beloved Prof. Haresh Lalvani
at the Advanced Morphology Lab at PRATT Institute, Brooklyn, NY.
- Prof. Lalvani was a student of Buckminster Fullers while at UPenn.
Marshall Lefferts - Cosmometry
Robert Grant -
Alan Green -
Related Links of cutting edge researchers, people/projects of Interest, and soulful friends:
Foster & Kimberly Gamble
Scholars, Scientists, Researchers, Writers, Healers, Mystics & Charlatans...
Just a very few of the many seekers and investigators who have inspired, influenced or affirmed my work over the past 34 years, and the personal journey of awakening, evolution and transformation that is...
the privilege and Destiny of being Human.
Megalitho-Mania - Hugh Newman
Michael Schneider - Egyptian Mathematics
Keith Critchlow - Time Stands Sill & Order in Space
Robert Gray -
Peter Thompkins - Mystery of the Pyramids
Buckminster Fuller - Synergetics, TetraScrolls, more
Rupert Sheldrake - Morphogenetic Fields
Joseph Campbell - The inner Reaches of Outer Space
Rupert Sheldrake - Morphogenetic Fields
Jill Purce - Morphogenetic Fields
John Michelle - The Dimensions of Paradise
Robert Lawlor - Sacred Geometry & Geometry at The End of Time
Eric Von Daniken - Chariots of the Gods
Richard Dolan - UFOs for the 21'st Mind
Ancient Aliens - Giorgio Tsoukalis
Graham Hancock - Fingerprints of the Gods
Laird Scranton - In search of the Primordial
Robert & Philip Bauval - The Orion Mystery
Robert Schoch - Fingerprints of the Gods
Russell Carlson - Sacred Geometry International
Paul Smith - Remote View Instructional Services
Dr. Dean Radin - Chief Scientist IONS
Dr. Hal Puthoff
Marty Rosenblatt - Applied Precognition Project
Alexander Graham Bell
Christopher Dunn - The Giza Power Plant
Jeffrey Mishlove - New Thinking Allowed
Dr. Russell Targ -
David Wilcock - The Source Field Investigations