What do crop circles have to do with geometry?
Several geometric designs have been found in crop circles. After astronomer and mathematician Gerald Hawkins studied pictures of crop circles geometrically, he found that in many circles there was a consistent pattern of diatonic ratios that matched the white keys on a piano ( Crop Circles Real or Hoax, by Donna Higbee, CHT, http://users1.ee.net/pmason/crop_circles.html. ). Diatonic ratios are used in music theory to describe the scales of one note being higher in pitch than another. Hawkins said that the probability of diatonic ratios being found in crop circles is 25,000 to 1. Another researcher who played some of diatonic scales while standing in a crop circle heard static sounds in the air, saw lights hovering over the crop, and the next morning found another design in the field where he saw the lights. How long have crop circles been sited? The earliest crop circle reported was in 1678 in Hertfordshire, England. There appears to be a time when none were reported. The next design w
