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Discoveries in Sacred Geometry & Architecture
                            Joseph Matto Architect 1986-1987 thru current   


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"

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Star Bridge Sculpture  1990

The sequence of photos below show the progression of elements that create the twin Hypar fields of the Tetra-WaveForm. This sculpture is only a static structure, a "Snapshot" as it were, of the more dynamic and complex rotating geometry of the Tetra-WaveForm energy formation alluded to in the StarGate Poems. The Illuminated core is a Vesica Pisces shaped "Envelope" formed between the Hypar EM fields of the WaveForm, within the spin radius of the Centroidal Vectors.  


(Note: This Vesica Pisces shape of the "Core Conduit" is not the same as the typical Sacred Geometry Vesica Pisces typically formed by constructing of 2 overlapping circles the origin of each being on the perimeter of the other. This is explained in another section.

What is a TOT?

A "Tetra-Helically Oriented Tetrahedron"

The top center photo represents a TOT. It is a tetrahedron tilted around the median of the base triangle such that all the vertices of the tetrahedron are vertically equidistant. TOTs can be face-bonded in sequence so that they extend into space and create a "Regular Tetrahelix "around a common central axis. Since all vertices of a tetrahelix lay on the surface of the same cylinder they are the same radial distance from the central axis.  This axis however DOES NOT pass through the centers (centroids) of any if the tetrahedrons, it is offset slightly by 1/2 the diameter of the inner circle defined by the rotation of the tangential vectors. Each TOT or Pair of "face-bonded' tetrahedrons shade a common triangular face. That face is tilted at a specific angle...which if calculated is the ArcTangent √2/3.


Note 1: The Centroid Vectors between TOT Pairs are co-linear with the overall TOT Pair Axis that connects between the furthest opposite vertices of each TOT pair.

Note 2: Tetrahelices are Chiral and Enantiomorphic, exhibiting either a right-hand twist or a left-hand twist. The position of the 4th Tetrahedron relative to the 3rd (ie which face is extended, there are 2 options) determines the spin direction.

Up until that 4th Tetrahedron... the previous triplet of 3 TOTS is spin neutral. 

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Tetramorph w Book of LIfe.png



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Stargate Movie


"Transport Rings"



Flying Rings

3D CAD Modeling of the Tetra-Waveform within the TetraHelix framework.

The WaveForm is generated by the Pair Bonded Axis of each TOT Pair, and is co-linear with the shorter Centroidal vectors.

The Vertical Tetrahelix Axis is shown in the right image as the white core, although its shape in 2D is not circular but rather another type of helix that varies in diameter form an inner mean to an outer mean as defined by the TOT pair axis.


The First Five "Ring Planes" 

imaginary "Rings" can be hypothesized around the cylindrical surface vertically equidistant at height of each TOT Pair vertex.  These Rings could serve as a means of stabilizing the dynamics of a rotational Waveform. The rings would support the first 3 TOTs and ensure equilibrium of the Waveform around the central core.

It is intriguing to note that a Similar Set of 5  Rings  can be speculated as existing somehow, within or co-planar with the polished under-surfaces of the 5 equally spaced Granite Beams comprising the roof Super-structure of the King's Chamber at the Pyramid of Giza. This observation is made in conjunction with the potential Resonance Angle of the Vectors with the slope angle of the Pyramid as described in the section on Megaliths. 


The use of 5 rings is also seen with certain Biblical "flying tetra-morphs", and are of course also a high tech device in the well known 5 stacked rings of the "Transporter" in the Stargate Movie.

The  "Bi-Directional" Super-Symmetrical Hypar Waveforms are shown below... I am showing them both individually, separated to the sides, and co-joined in the center as they would be as generated, interpenetrating each other into one Waveform.

The Twin Interpenetrated Hypar Fields

Create a 3rd Inner Core Channel

The Twin Waveforms AND the Core Conduit (Yellow Below), manifest all at the same time from TOT Pairs rotating progressing thru the Phasing of a Tetrahelix Framework with a common axis...It is a "TRINITY" of energy forms that can only exist as one dynamic event.

In cross-section the Core Conduit "Channel" can be understood as an alternative idea for the Christ Mandorla, the Vesica-Pisces, or the Nimbus of traditional Sacred Geometry.


Interestingly the core shape is much like a "Bladder" which is what Vesica means.


In addition a Cross-Section cut thru the Twin Hypar Standing Waveforms to either side of the Core Conduit, when seen in its 2D flat representation reveals shapes reminiscent of the Ajna Chakra Symbol or the Yin-Yang Symbol.

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Plan View Cross-Section Cut through Tetra-Waveform

90º to vertical axis.

The core "appears" circular due to the spatially diagonal Centroidal Vector lines being Tangent to the Core at the same distance from the Axis. The actual shape of the core at any given location on the axis is a "Vesica" shape of the Core envelope, or boundary, has a ratio of approximately 1 : 2.45

Because the Centroids and their vectors are offset from the axial center of the Tetrahelix there is in effect NO CENTER relative to the waveforms, rather a Centroidal Vectors/TOT Pair axis are tangent to it.


This is perhaps why the true center of any spiral of flowers, seeds or leaves exhibiting the Golden Mean Ratio can never be found even at the smallest scales. Each growth center is relative to the last, but as the angle of tangents relative to each other as they rotate thru both Space & Time. 


In this sense, the so called "Phi-Angle" of 137.5º is an artifact of a process that extends forward and backward in time as well as space... it is the Tetrawave's Centroidal Rotation Angle of 131.81º diagonally extended in space... OVER TIME... that generates the 2D illusion of the 137.5º angle. 


The Angle between the offsets of each successive Tangential Centroidal Vector approximates 137º  relative to the "Apparent Circular Core" of 1.

It is interesting to note that Fine Structure Constant of the Universe is 1/137, the same ratio of Core Diameter to the Relative Vector angles. Is there a correlation here?

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. The √2 & √3 are the relations between square, triangle and circle.  


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 is radial and as such, ALL vertices lie on the surface of a that cylinder that all the vertices define.


(See geometric study models under index  "Tetrahedron to Tetra-Waveform".

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.

Tetrawave Core and transluscent Hedrals.

Core Flow Channel thru Linear TetraCrystal

Core Flow & Centroidal Paths correspond twith DNA Helix

TetraWAve-Centroid Envelope & Centroid b

TOT Centroids shown as red & blue beads around Hypar Core within Tetrahelix Frame

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Twin Hypar Fields On Axis with Sun

Bird's Eye View Down Through Tetrahelix

7-Fold Geometry of Tetra Torus

(Before fabricating the Moebius Plasma Induction Ring Wave - Shown Below Yellow)

Overhead view of TetraWave Hypars in Static Tetrahelix Frame centered within an Alternating Tetra-helical Toroidal Ring

14 Regular & 14 Irregular Tetrahedrons

Tetra Ring.jpg

Tetra-Toroidal Moebius Plasma Induction Ring 

7-fold Geometry - 28 Tetrahedrons - 14 Regular Inward-Facing, 14 Irregular Outward Facing

Energy Facility Portal.png

"Cosmic Fire"

Osaka Design Competition  - 1990

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/Planck Scale "Black Hole"?

(as Plasmoid or Plasma Toroidal Induction Ring)



  Black Hole?


   Plasma Toroid!

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

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Universal Intelligence

Smithsonian Gallery

Painting by Ingo Swann


Creative Intelligence

Featuring Egyptian Glyph for the 2/3 Fraction of UNITY

Drawing by Joseph Matto


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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)

Fractal Tetrahelix Framework

for infinitely nested Tetrawaves of Living Data Structures

All Cores Connected via Resonance

1 to 2 to 4 Frequency subdivisions of 4 a 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.

Becoming Boreallis

David Johnson

Safire Project

Safire Team


Wal Thornhill

Scholars, Scientists, Researchers, Writers, Healers, Mystics & Charlatans...

Just a very few of the many 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 Spiritual Beings on Human Journey.

 Resonance Academy

Nassim Haramein & Faculty

Related Links of cutting edge researchers, people/projects of Interest.

Alan Green 

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

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

Julia Mossbridge

Ingo Swann

Dr. Hal Puthoff

Marty Rosenblatt - Applied Precognition Project 

Alexander Graham Bell

David Bohm

Roger Penrose

Christopher Dunn - The Giza Power Plant

Jeffrey Mishlove - New Thinking Allowed

Dr. Russell Targ - 

"TOT Pair Footprint"

Vajra shown Centroid to Centroid

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