Geometry

# Dymaxion Map by Buckminster Fuller

19/04/17 12:33

The Dymaxion map by Buckminster Fuller is a projection of a world map onto the surface of a icosahedron, which can be unfolded and flattened to two dimensions. Read More...

# Vedic Vajra as Spherical Harmonics

19/04/17 12:30

Mankind mimics the designs of nature. From wallpaper and ordinary ironwork to the grandest architecture, the patterns of harmonic resonance are everywhere, including our mind. Read More...

# A Biophotonic Field

19/04/17 12:29

As is the case with biophotonic fields, mathematical modeling of the nonlinear standing wave fields that comprise atoms can be accurately rendered by applying the quadratic function [ zn+1 = zn^2 ] (as shown); one that is closely related to the famous Mandelbrot Set, expressed as [ zn+1 = zn^2 + c ]. Read More...

# Tritone Partials and the Dodecahedron

19/04/17 12:24

This sequence shows how a dodecahedron solid crystallizes from the male-female, odd-even balance of tritone partials 5 and 7 in the harmonic series. Read More...

# The Harmonic Color-Tone Wheel

19/04/17 12:23

When color symmetry is mapped onto the scale symmetry of a 7-tone diatonic scale, a perceptual correspondence can be established between vision and audition. Read More...

# E8 Lie Group and Harmonic Geometry

19/04/17 12:16

Garrett Lisi's E8 Lie Group particle model can be rotated to reveal an orthogonal cube that corresponds to Nassim Haramein's cubeoctahedron model of space. Both correspond to Metatron's Cube which can be extracted from the ancient Egyptian Flower of Life. Read More...

# A Flower in Harmonic Lattice

19/04/17 12:13

Every form of life can be viewed as a liquid crystalline structure shaped by the atomic resonance of carbon-12 and water. The explosive growth of carbon-12 chains is damped inward to varying degrees by water (according to DNA instructions) to guide the self-organization of cells as they replicate and evolve over time. Read More...

# The Musical Structure of Life

19/04/17 12:12

# The DNA Egg Model

19/04/17 12:08

There are two geometric models found in DNA that help explain the geometry of the human body. The first is the Yang Quasi-28-gon Eggshell and the second is the White G-ball Yolk. Read More...

# The Pentagram & Fibonacci Series

19/04/17 12:02

One way to view the Fibonacci Series is as a recursive approximation of golden ratios in the Harmonic Series, together represented geometrically as a set of phi-recursive pentagrams. Read More...

# The Dream Theatre

19/04/17 11:51

# Fish Archetype for the Cycle of 5ths

19/04/17 11:47

Through the study of harmonic science we can find connections between music and biology. For instance, music tradition suggests that the Cycle of Fifths is a natural harmonic chord progression. In fact, most music is based in some way on portions of this progression. Read More...

# How to Build an Anechoic Chamber

19/04/17 11:42

Echoes in rooms and speaker enclosures are created by harmonic wave reflection over-resonating within a cavity. This can be easily prevented by creating an enclosure using the dimensions of the golden ratio and its inverse. Read More...

# Mutually Orthogonal Isometric Hexagons

19/04/17 11:41

The geometric figure on the cover of INTERFERENCE was part of a graphic art series entitled Cubing the Human Archetype. Read More...

# The Geometry of Music

19/04/17 11:39

The geometric balance of chords around the harmonic center is the source of musical ethos. It represents the symmetry of a standing wave and its opposing flows of energy. Read More...

# Music Visualization

19/04/17 11:38

When the Standing Wave Model is projected out in time, chords and melodies take the form of tumbling geometric shapes. Read More...

# Dual Ring Harmonic Models

19/04/17 11:37

These are some of the harmonic ring models described in the fourth section of INTERFERENCE. Read More...

# Tone-Color Dual Ring Model

19/04/17 11:31

Color geometry - genesis of the Dual Ring Model (both diatonic and chromatic) in Harmonic Interference Theory. Read More...

# Golden Spiral of a Flower

19/04/17 11:27

Given that every form of life on Earth grows out of a spiral and that indeed weather systems, planetary systems, solar systems and galaxies also form out of spiral formations, why is it that spirals are excluded entirely from the study of geometry and in fact much of the study of mathematics? Read More...

# Standing Wave Structure of the Human Body

19/04/17 11:26

One of the most egregious omissions in modern education is the fact that the body is a liquid carbon-water crystal that evolved harmonically according to the physics of a standing wave. Read More...

# Platonic Solids in Microbial Life

19/04/17 11:22

# Cardiopulmonary Harmonic Model

19/04/17 11:16

3D model of the human cardiopulmonary system reveals the Polar Reflective Interference pattern.

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# Geometry of Baby Stingrays

19/04/17 10:56

These baby stingrays are perfect examples for how simple animals organize as hexagons while larger mammals, such as humans, organize as pentagons. Read More...

# A Hexagonal Crystal

19/04/17 10:52

# Twelve and the Golden Ratio

19/04/17 10:47

For today, I thought I would share a very mysterious relationship between the number 12 and the golden ratio.

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# Permittivity of Free Space

19/04/17 10:41

Isometric projection of an orthogonal harmonic lattice introduces a gap, enabling energy to articulate and travel through space. Without this little bit of slack, nothing could move or bond and the universe would be dead. Read More...

# Forbidden Apple of Harmony

19/04/17 10:39

The Apple of Knowledge symbolism is very old and appears to be related to the ancient belief that all life is harmonically organized. Here is a simple illustration showing how the golden mean is at the bottom of both horizontal and vertical geometries of the apple. Read More...

# The Burning Man in Harmonic Lattice

19/04/17 10:38

"Through a lens of fiery resonance

seek a crystalline key of silence

to unlock the musical matrix

and free the burning man." Read More...

# Origin of Religious Symbolism

19/04/17 10:37

The difference between religious symbolism and harmonic geometry is only a matter of metaphor. Read More...

# Constructing the Vitruvian Man

19/04/17 10:35

# Organic Humanoid in Harmonic Lattice

19/04/17 10:34

# Platonic Solids in Lattice QCD

19/04/17 10:26

An expansion of the previous illustrations showing other harmonic solids as an isometric cubic function. Read More...

# QCD Space Lattice as a Harmonic Medium

19/04/17 10:24

# The Keyboard Models

19/04/17 10:19

This is something like what I visualize when I improvise jazz piano, only with additional layers and wave sets that unfold rapidly in time. I imagine sticking my hands into an oscillating web of harmonic waves floating over the keyboard and guiding the waves to shape different geometries. Read More...

# Golden Ratio in Pythagorean Tetrachords

19/04/17 09:10

Dual golden ratios in the tritone function of a diatonic scale (relative to C major / A minor).

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