Crop Circles and Sound
A fantastic article about Crop Circles!!!
Read it here: www.lovely.clara.net/crop_circles_sound.html
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.
As the expression of number in space, geometry is inextricably linked to music since the laws of the former govern the mathematical intervals that make up the notes in the western music scale- the diatonic ratios- hence why the ancient Egyptians referred to geometry as frozen music.
In the February 1992 edition of Science News, Prof. Gerald Hawkins used the principles of Euclidean geometry to prove that four theorems can be derived from the relationships of elements in crop circles. More significantly, he discovered a fifth theorem from which he could derive the other four. Despite an open challenge, over half a million subscribers have been unable to create such a theorem, which Euclid himself only hinted at twenty-three centuries earlier in his thirteen treatises on mathematics. So it came as a slight surprise when its equilateral version materialized as 160,000 sq. ft. of flattened barley at Litchfield, Hampshire, in 1995.
Since Hawkins' Euclidean theorems also produce diatonic ratios, a link exists between crop circles and musical notes, themselves the by-product of the harmonic laws of sound frequency. Soon, crop circles bearing unmistakable associations with sound then began to appear. One contained a curious ratchet feature from which is constructed a musical diagram also dating to the Egyptians, the Lambdoma. Also known as the Pythagorean Table, it defines the exact relationships between musical harmonics and mathematical ratios.