Crop Circle and Mathematics - Fractals Julia Sets

Crop Circle and Mathematics - Fractals Julia SetsIn July 1996 at 18:15 at night, a pilot was flying the plane through fields of wheat in Wiltshire, near the ancient monument of Stonehenge. In the back seat, a doctor who becomes engrossed in photographing scenery passengers underneath. They could see the wheat fields are clean and tidy from the top plane. About 15 minutes later, they flew back over the same wheat field. This time they saw the wheat fields has been decorated by a giant spiral patterns are beautiful, which is a crop circle with the greatest patterns ever seen by humans, a pattern that is supposed to represent a mathematical fractal Julia Set.
Julia Set is a mathematical formula that is used to perform complex measurements associated with chaos theory. This formula was first discovered by Gaston Julia at the beginning of the 20th century. But the beauty of this formula can only be seen when the computer is found. I am sure you are not interested to know the formulas of this formula, but you'd be interested to see the resulting fractal, like the beautiful picture below:

Pictured above is Julia Set fractal images generated by computer. But it seems wheat fields in Inggrispun not want to lose. 
In 1996, a crop circle is regarded as a representation of fractal Julia Set up in Wiltshire, near Stonehenge. This pattern is considered as one of the greatest patterns ever. It has 149 circles that form a giant crop circle. As I mentioned above, the pilot of the plane did not witness these crop circles are formed, but he stated that 15 minutes before the pattern is not in that field. So crop circles are formed only arguably within a maximum of 15 minutes!The researchers called this crop circle as the single Julia Set.


Why crop circles on the so-called single julia set? The answer is because in that year at Windmill Hill, a crop circle appeared which also represents the Julia fractal. But this time the more remarkable because this crop circle has three arms that form a twisted circle of 194 opposite-clockwise. This pattern is called the Triple Julia Set.

Then 5 years after occurrence of the second crop circle above, on August 13, 2001, the residents reported the emergence of a more extraordinary in Milk Hill, Wiltshire, which is a crop circle with six arms. Crop circles are called 6 Julia Set spiral and has 409 circles that form the pattern of this giant.

Until now, the third crop circle pattern is a pattern that is probably the most famous ever, because this is the first crop circles are known to have a relationship with a complicated mathematical formula.How does this crop circle can emerge? and how can he form a complicated fractal Julia sets?The answer is: I do not know!hehehehe