The Enneagram is a nine-pointed star polygon, also known as a nonagram, that is often associated with certain esoteric and mystical qualities. First introduced to the West by George Gurdjieff, a Greek-Armenian mystic and spiritual teacher, it was the symbol of universal harmony used in his Institute for the Harmonious Development of Man and what later became known as The Fourth Way school. Read More...

Spring flowers are a kind of music - the music carbon-12 atoms make as they resonate into the pentagonal liquid crystal lattice of hydrogen and oxygen. Read More...

Modern day religions are descended from a long lineage of personifications of celestial objects, namely the Sun, Moon and Venus. In particular, the orbit of Venus creates a geometric pattern recognized in ancient times as proof of a divine ordering of the cosmos. This post summarizes the evidence for harmonic physics as the founding principle behind religion. Read More...

One of the key points of Harmonic Interference Theory is the role the golden ratio 1.618033... plays in supporting the formation of standing waves and harmonics. Specifically, Phi and its inverse represent non-reflective damping proportions in a resonant frequency that enables harmonics to reflect either side of it. This post describes that process and shows how the golden ratio can be used to directly generate a sine wave. Read More...

This post describes the geometrical and symbolic relationship between the Great Pyramid and the Vedic legend of Mount Meru. Read More...

Here's something else very interesting to go with the previous post... Read More...

I think someone has been reading my website (or my mind). The crop circle on July 6th at Danebury Hill near Stockbridge, Hampshire looks like one of the poster graphics from the Musica Universalis area of my website. Read More...

To really grasp the magnificent musical symbolism of Rosslyn chapel, please take some time to read and absorb the following. Beginning with the harmonic theory set forth in my first book Interference, I am now 100% convinced that Rosslyn chapel was designed as a symbol for the Music of the Spheres and temple to celebrate the Venus Transit. Read More...

My trip to Rosslyn chapel in April 2010 triggered a new flow of discovery and artistic inspiration. For background to this post, take a quick look at this and this, then read this post. Read More...

If you were the designer of the universe, how would you bootstrap life? Read More...

I’ve been trying to figure out Solomon's most famous grimoire for a long time. As it turns out, I had solved it more than 2 years ago when I used a series of nested pentagrams to approximate the geometry of an egg. Read More...

A surprising correspondence between the Mayan calendar and the golden mean.

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Connecting Rosslyn chapel with Vedic tradition through the rose orbit of Venus. Read More...

The Fibonacci series converges to more than just the golden ratio. It also converges to powers of the golden ratio. Read More...

Our schools and churches do not tell us everything. They don’t tell us even the simplest things; things like the Earth-Moon system matches the geometry of a hen’s egg and that both are a containment property of the golden mean, Φ = (√5 + 1) / 2. Read More...

Imagine, if you will, a time before numbers. A time when people had not yet created symbols to represent quantity and order objects in the world. In this primordial, prehistoric world we might ask if numbers still existed, waiting to be discovered. If so, does Nature itself count and, if so, how? Read More...

Thought I would post a more direct illustration of the geometry of an embryo prior to it resonating into the characteristic geometry of a human body.

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Here are a few words about the Tetraktys and its relationship to harmonic physics.

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After finishing my last article Eleven that described my experience (and apparent widespread phenomenon) of 'seeing elevens', I watched this excellent video about this same subject. Avia Venefica's comments about the symbolic meaning of the double ones of eleven and its duality are right on target, which prompted me to further connect this phenomena with the physics and mythology of harmonic resonance.

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In thinking further about the two posts below concerning the mythology of Luna and Venus, i started measuring their orbits in lunar days and reconfirmed what I presented in my book, namely that the golden ratio is deeply involved as a damping proportion in the solar system... Read More...

Here is a simple explanation of Harmonic Interference Theory and the core physics and physiology model behind it. Read More...

Here is a quick sketch demonstrating how the Earth-Moon system is a harmony between maximum resonance and maximum damping, then approximated in a simple equation using only Fibonacci numbers. Read More...

The geometry of the human head continues to intrigue me. In the book I examine the geometry of the entire body and propose a method by which atomic resonance and damping works to guide cell growth. I named the resulting model Burningman, partly because it appears as if it was burning through fractal recursion and partly because I see it representing a new mythology that might return some day through the simulated reality of cyberspace. In this post I examine the harmonic interference fields apparently behind the geometry of the human head -- layers of polar Gaussians applied within a recursive spherical phi-damping framework. Read More...

Here is a mosaic from Carthage showing the 12 astrological signs plus the 7 days of the week as a hexagonal arrangement. Read More...

Just returned from a one-month tour of 8 countries in the Mediterranean, visiting numerous Greek, Roman, Etruscan and Phoenician archeological sites. This entry is the beginning of several posts discussing ancient mythological symbols and their connection to harmonic philosophy and torsion physics. Read More...

So, I have been having various conversations related to the relationship between the perfect solids, the quantum lattice and my harmonic lattice / matrix. I really want to get a 3D modeling program and do it up right, but attached is a 2D illustration relating to all of this. The basic idea is that space is a very fine field of tiny black holes that let it "breathe." These holes perforate space and thus warp it into a cubic grid. Within this grid light and other EM energy flows along the lines of the cubes while crystallized energy or particles collect inside the cubes around the black holes. These comprise atoms which all have different harmonic properties and geometries that resonate in the lattice, bonding with neighboring elements depending on harmonic compatibility. Space itself acts as a subtle resonator (zero-point energy) to keep electrons moving and to help atoms bond into larger crystalline structures. Read More...

Since the CBS eye logo was designed according to the "All-seeing Eye," as painted on Shaker barns originating in the Egyptian gnostic geometry known as the Vesica Piscis, I thought it would be fun to construct a face based on that geometry combined within a golden section framework. To fill it out, I added Fibonacci and reflective Gaussian geometries according to harmonic interference theory principles. See what you think... Read More...

The inverse fine-structure constant is known to define the electromagnetic force in an atom.  This constant has been measured to be 137.03599907098, but no one can adequately explain where it originates. It originates in the harmony between odd and even harmonics. Read More...

Yesterday, I received an email from Tom Roth who is in the middle of reading my book. He sent me an analysis he had done comparing a composite human head with the Vesica Piscis. I was very excited when I opened up the graphics he sent me because it uses a random population sample to experimentally prove that human proportions follow the models proposed by Harmonic Interference Theory. Take a look... Read More...

Recent research has found that water takes on a pentagonal molecular structure that then combined further into an icosahedral form - exactly as the Greeks suggested over two thousand years ago. Water is a damping agent for carbon-12, combining to create life... Read More...

I have been getting a lot of email concerning the Solfeggio scale. It seems there have been several popular books about its healing effect on the body. Some have even purchased tuning forks tuned to its specific frequencies, which are higher than today's system. This post discusses the good news and the bad news about this scale. Read More...

This is a summary of my philosophy regarding geometry as a function of wave interference. Read More...

Subsequent to the publishing of an article I wrote for NEXUS magazine, I was contacted by one Einar Thorsteinn, a geometer and modern artist outside of Berlin. He introduced me to his 5-fold geometry system, which we called FANG, and a unique star-like geometry he called Thorsteinn's Star. After corresponding for a while, he sent me a DVD-ROM filled with information about this system which he had published some years back with a Foreword written by his friend Buckminster Fuller. I have just begun to review this fantastic geometry, but it appears to me to be a way to view 5-fold geometry (a pentagram) from an isometric angle. Read More...

In communicating with Icelandic geometer Einar Thorsteinn living in Germany, I shared what I consider a very important ratio related to resonance in harmonic interference. Specifically, a couple of years ago I had found the ratio 1:81 = 0.012345679... built into the dimensions of Rosslyn chapel. I found that its repeating digits represents a natural resonance proportion in any harmonic standing wave, specifically as a 2:81 halo gap around the proportion of 5:3 (a musical major 6th) between any two coherent standing wave sources (tone, light, atoms, whatever). This is discussed in detail in my book.

But Einar pointed out that this proportion also represents the volume of a tetrahedron placed inside a larger tetrahedron such that its four points touch the incenter of each of the faces of the outer tetrahedron, assuming that the larger tetrahedron is inside a cube with volume equal to one... Read More...

This is a 5-level fractal extracted from the extended Tree of Life geometry. Read More...

I think I just discovered why the Tree of Life colors and geometry are opposite between Hebrew and Hindu traditions.  Check it out... Read More...

It suddenly occurred to me that a Christmas tree is a pagan symbol because it grows in the shape of a golden triangle found in a pentagram. Take a look at the fun Christmas card you can make out of it... Read More...

Dan Reed sent me a link to this puzzle:

http://www.cyberglass.biz/customflash/ghostwhisperer/

Be sure to try this before you click to learn how the crystal ball "reads your mind."
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Yesterday, I returned to a mathematical model of the harmonic matrix defined in the book to see how it would look when projected into three dimensions. Inside the matrix can be found the Vitruvian model of the ideal human proportions, creating a fascinating piece of neo-Renaissance art that may become the first in a series. Read More...

While working on a new Flash animation to illustrate some new aspects of the golden ratio, I found the Rojas egg geometry described the orbital pattern of Pluto. This led me back to do a new analysis of the Rojas egg model and its application to life and the harmonic lattice. Read More...

While working on the harmonic lattice described in the book, I discovered that Phi (the golden ratio equal to 1.618033...) and e (the natural logarithm equal to 2.71828...) have a common factor of almost 1.68. I mentioned then that I thought that Napier used this number instead of the golden ratio to avoid offending the Church, who knew it to be a pagan number). As a result, modern science bases all of its study of nature on e instead of Phi, though it could have just as well used Phi as I did in my calculations. There in another interesting relationship between these two irrational and infinite numbers... Read More...

This is a brief mathematical definition of the Hilbert space used in the book to create a recursive harmonic matrix. Read More...

In trying to explain the role of harmonic damping in both the formation of our solar system and life on our planet to a graduate astrophysics student about a year ago, I offered a simple question. The question was "What do a bug and an egg have in common." Mainstream science does not normally discuss such things because there is no unifying theory that explains why life takes the shapes it does. This entry is an attempt to show a connection between these two natural life formations in the behavior of standing waves. Read More...

I thought I would explain the meaning of the book cover. This is a good one... Read More...

Towards the end of the book I finally realized how gnostic ("sacred") geometry was at the root of all religious symbolisms. Unfortunately, I did not have room in the book to add it, so thought I would do that here. Read More...

A small brownish rock measuring about two inches across was found September 2004 near Roswell, New Mexico by a local businessman named Robert Ridge. He supposedly found it while he was deer hunting about 17 miles away from the spot where a UFO is said to have crash landed over sixty years ago. Now I don't believe for a minute that this is extraterrestrial, but I do find it interesting that whoever created it had a very good understanding of harmonic geometry. I also find it interesting that a crop circle has been found with the same geometry. Read More...

This blog is intended as an exploration of some of the more exotic and controversial ideas related to harmonic science. The views expressed do not necessarily represent my decided opinion about a given topic - only areas of interest that I am exploring that could eventually lead to something useful. I have found that staying open-minded to even the strangest (and silliest) ideas will sometimes lead to valuable insights and discoveries.

To kick things off, I would like to explore the idea that a human heart functions harmonically according to the recursive Mandelbrot Set fractal.

- Richard Merrick, October 11, 2008 Read More...