He found that in many circles there was a consistent pattern of diatonic ratios that matched the white keys on a piano. Diatonic ratios are fundamental to music, with a ratio in the diatonic scale being the step up in pitch from one note to another. It can be measured exactly. Crop circles have strange qualities about them. Electrical equipment usually jams or malfunctions.
People walking in the circle hear a strong buzzing or humming sound.
But after the ill effects wear off, the person feels better than they have felt for years. An IBM research fellow, named Benoit Mandelbrot, utilized high-powered computers to develop the field of fractal geometry used to study Chaos Theory and its application to patterns of growth in the natural world. Essentially, he discovered the computerized form that represents the mathematical formula where order in the universe breaks down into chaos. The crop circle formation found that day in England was a precise replica of the computerized form, called the Mandelbrot Set. Here for the first time, in this crop circle, was a clearly recognizable mathematical shape.