Since the 1970’s, strange things began appearing in farmer’s fields. They would awake to find crops had been laid down in vast unusual patterns. The phenomenon was not confined to one area as it was occurring all over the world. Some believed the deed was done by pranksters (in fact some did admit to making [...]

  Crop circles first appeared in England several decades ago. Experts believe that most of the crop circles that have appeared around England and other places in the world were simply attractive looking hoaxes that provided a bit of harmless fun at the time. 80 percent of crop circles can be conclusively proven to be [...]

While the interest in crop circles did not gain popularity with the general public until 1989, there have been occasional academic reports of this phenomena made as far back as the eighteenth century. Reports of circles and simple designs made by an area of flattened plants in the middle of a field have been made [...]

While the earliest crop circles manifested themselves in simple round patterns, they have increasingly over the last two decades developed vast and complicated geometric patterns. Researchers having delved into the mathematical symmetries of these designs and discovered complex rational formulae. Three centuries B.C.E. the mathematical scholar Euclid devised four primary geometrical theorems on which he [...]