Crop Circles
Matho-Geometry Project
The Geometry of Crop Circles
INTRODUCTION
A crop circle is an area in a field of crops where the plants have been mysteriously flattened into the shape of a circle or a more complex pattern. A crop circle is a sizable pattern created by the flattening of a crop such as wheat, barley, rye, maize, or rapeseed. Crop circles are also referred to as crop formations, because they are not always circular in shape. The documented cases have substantially increased from the 1970s to current times. In 1991, two hoaxers claimed authorship of many circles throughout England.
The following tools are commonly used to aid in the construction of crop circles: * A plank of wood with knotted holes through each end used to flatten the crops. * Measuring tapes > 100’ in length. * Marking poles * Pre-measured ropes
Most crop circles were based on sacred geometry until the year 2000. Recent formations appear to be based on natural science and mathematical designs, such as fractals. Crop circles range from simple to complex patterns of which most are believed to be man-made. A number of patterns have been created that are unexplained due to the complexity of the design and the projected difficulty of completing it over the span of the night.
The earliest recorded image of a crop circle came from a 1678 news pamphlet. Someone who studies crop circles is called a cereologist. David Chorley and Doug Bower earned an IG Nobel Prize in 1992 for crop circle hoaxing since 1976.
Crop circles are primarily found in England; however, they have “cropped up” all over the world. * Canada * United States * Central America * South America * Europe * Russia * Japan * Australia
CONCLUSION
Crop Circles designs range from days to months to complete. The most complex involve intricate patterns, mathematical logic, scientific meaning, and often reference to the unknown. The most genuine crop circles leave no trace of their
The Geometry of Crop Circles
INTRODUCTION
A crop circle is an area in a field of crops where the plants have been mysteriously flattened into the shape of a circle or a more complex pattern. A crop circle is a sizable pattern created by the flattening of a crop such as wheat, barley, rye, maize, or rapeseed. Crop circles are also referred to as crop formations, because they are not always circular in shape. The documented cases have substantially increased from the 1970s to current times. In 1991, two hoaxers claimed authorship of many circles throughout England.
The following tools are commonly used to aid in the construction of crop circles: * A plank of wood with knotted holes through each end used to flatten the crops. * Measuring tapes > 100’ in length. * Marking poles * Pre-measured ropes
Most crop circles were based on sacred geometry until the year 2000. Recent formations appear to be based on natural science and mathematical designs, such as fractals. Crop circles range from simple to complex patterns of which most are believed to be man-made. A number of patterns have been created that are unexplained due to the complexity of the design and the projected difficulty of completing it over the span of the night.
The earliest recorded image of a crop circle came from a 1678 news pamphlet. Someone who studies crop circles is called a cereologist. David Chorley and Doug Bower earned an IG Nobel Prize in 1992 for crop circle hoaxing since 1976.
Crop circles are primarily found in England; however, they have “cropped up” all over the world. * Canada * United States * Central America * South America * Europe * Russia * Japan * Australia
CONCLUSION
Crop Circles designs range from days to months to complete. The most complex involve intricate patterns, mathematical logic, scientific meaning, and often reference to the unknown. The most genuine crop circles leave no trace of their