I've been trying to find sources that talk about the depth of harmonics and vibrations within Sacred Geometry. Interestingly, one of the best websites I've found is a crop circle research website. I made a thread about this website a while back. But it has even more to offer in terms of sacred geometry than most sacred geometry websites
http://www.cropcirclesecrets.org/
If you like cymatics, you'll like the website
"A hoax is a forgery, and forgers require a genuine from which to copy. So, what exactly lies behind real crop circles? In genuine formations the stems are not broken but bent, defeating the hoax argument, since a plank or garden roller is required to flatten the crop to the ground, resulting in clear damage to the plants.
The plants are subjected to a short and intense burst of heat which softens the stems to drop just above the ground at 90º, where they re-harden into their new position without damage. Research and laboratory tests suggest that infrasound is capable of producing such an effect: High-pressure infrasound is capable of boiling water inside the stems in one nanosecond, expanding the water, and leaving tiny blowholes in the plants' nodes."
The research on the website talks about the crop circles made by wooden planks, and the crop circles now believed to have been created with sound, and how the two are drastically different

You'll have to hang up the hotly debated argument regarding aliens to really enjoy the website. In fact, you don't even need to understand the who or the what.
Just entertain yourself with the how.
"Modern science now shows that these geometric rhythms lie at the centre of atomic structures. When Andrew Gladzewski carried out research into atomic patterns, plants, crystals and harmonics in music he concluded that atoms are harmonic resonators, proving that physical reality is actually governed by geometric arrays based on sound frequencies. Even that primeval Hindu sound, the OM, from which is derived our modern term 'hum', when sung into a tonoscope produces the very geometric shapes attributed with 'sacredness'. Perhaps the most important of these shapes is the hexagon, upon which the Egyptian matrix named the Flower of Life is based. This series of outwardly-rotating divisions of the circle accommodate the branches of the building blocks of life, the amino acids. This Flower of Life has subsequently manifested as a crop circle."


"Since a sudden and abnormal burst of growth is also known to occur in crop circle plants it was postulated that microwave was the culprit behind the creation of crop circles. However, microwave has the ability to render biological systems sterile, and a certain dose will even kill organisms. Yet the crop circles plants are alive and well. After four years of experiments on regular wheat at the University of Ottawa, Mary Measures and Pearl Weinberger found accelerated growth in laboratory samples, and postulated that the sound frequency they applied had produced a resonant effect in the plants' cells, thereby affecting their metabolism."
"Several years ago, astronomer Gerald S. Hawkins, former Chairman of the astronomy department at Boston University, noticed that some of the most visually striking of the crop-circle patterns embodied geometric theorems that express specific numerical relationships among the areas of various circles, triangles, and other shapes making up the patterns (Science News: 2/1/92, p. 76)"

"These designs demonstrate the remarkable mathematical ability of their creators," Hawkins comments.
What is most surprising is that all geometries give diatonic (musical) ratios. Never before have geometric theorems been linked with music.Curiously, Hawkins could find no reference to such a theorem in the works of Euclid or in any other book that he consulted. When he challenged readers of Science News and The Mathematics Teacher to come up with his unpublished theorem, given only the four variations, no one reported success.In July 1995, however, "the crop-circle makers . . . showed knowledge of this fifth theorem," Hawkins reports. Among the dozens of circles surreptitiously laid down in the wheat fields of England, one pattern fit Hawkins' theorem based on the stringent definitions, on the rules established by the circles over the period 1980 to the present.The Circlemakers responsible for this old-fashioned type of mathematical ingenuity remain at large and unknown."

the website doesn't just offer scientific research. but also the other side of the spectrum, spirituality, simultaneously. The traditional ideas were either aliens or humans did it. But his own spirituality colors a new and refreshing idea *any third option is refreshing in my opinion*. That maybe its the earth herself.
either way, the relationships become endless. from light, vibrations, music, geometry, to dna and information
"Eyewitness accounts by farmers, police and locals often describe a tube of light penetrating through the clouds to create a crop formation............
the energy did not create the crop circle at the time: the flattening of plants took place some hours later, suggesting that the light (EM) contained information that imprinted into the Earth, and later, the Earth responded with a geometric pattern. Such an event suggests that the crop circles are not just inputs of energy but also triggers that awaken a response within the living Earth.
The presence of light in the creation of crop circles raises serious implications, because the light spectrum carries signals that organisms require for receiving information, particularly human DNA. Such bioelectromagnetic signals operate at the extreme ends of the EM spectrum – the type of frequencies recorded in crop circles. Any excitation of this bioelectromagnetic field is transmitted to the DNA, and in laboratory experiments in China genetic information has already been successfully transmitted from one organism to another.
Furthermore, this frequency range detected in crop circles appears to ally with a part of the human body that is dormant. Mapped by Valerie Hunt in the 1970s, the frequency range of the human body covers a wide span, yet there is a range– 250-320 MHz- where nothing seems to happen, the human temple is utterly silent. By comparison, the predominant range of frequencies detected inside the crop circles seems to cover a range of 260-320 MHz. And the sharp rise in these occurs at the perimeter of the flattened crop, suggesting that people are entering a kind of shielded area that differs substantially from the rest of the field. People are essentially entering a temple."

"Creation is based on the concept that all atoms and molecules are in a state of vibration. This led all religions and faiths around the world to adopt the notion that “in the beginning was the Word, and the word was God”. Sound has been revered for millennia as the method by which all life is formed, and after a decade of research I, too, reached the conclusion that sound is a fundamental force behind the manifestation of crop circles.
Which brings us back to that incredible event in 1998, at Tawsmead Copse, when an eyewitness and this photographer caught a crop circle in the making, a seven-pointed geometric shape. That glyph was itself a metaphor for sound, since the heptagon is synonymous with the seven pure notes of the music scale, the de-re-mi, and so on. As my colleagues and I stood in appreciation of the intricacies inside that crop circle, we heard a series of musical notes around us, and recorded them. Little did I realize at the time that this was yet another moment when Mother was summoning her children, and spellbound, we wandered towards one of her creations, ever closer to her bosom. And here lies the final connection to the pentagram-hexagram.
As it turns out, the geometric/numeric ratio 6:5 is not just the ratio of the Earth and the geometry of DNA, it also happens to be a musical interval called the Minor Third. It is the frequency interval between the notes E-flat and C. And when played, they sound exactly like a call many of us have heard at least once in our lives, regardless of cultural background. For these are the two tones that a mother utters when she beckons her children. They are the notes most often used in lullabies. They are the first summoning tones in native American flute music. And this ratio is expressed in the forms of the pentagram and hexagram, the same forms that are inherent in the geometry of sacred sites, cathedrals and crop circles, not to mention their pulsating, living energy fields."
and this is an example of how the research begins with Sacred Geometry. If the pattern isn't first mathematically precise, they know sound was not involved

And before I forget! You know all those wonderful images of cymatics on youtube? Well why not the other way around? Can't we produce sound from geometry?
Here is some music inspired by crop circles.
http://www.cropcircleresearch.com/ar...harmonics.html
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