the-star-stuff: Earth’s Most Stunning Natural Fractal Patterns Imaged Above: Romanesco Broccoli. This variant form of cauliflower is the ultimate fractal vegetable. Its pattern is a natural representation of the Fibonacci or golden spiral, a logarithmic spiral where every quarter turn is farther from the origin by a factor of phi, the golden ratio. Image: Flickr/Tin.G. From sea shells and spiral galaxies to the structure of human lungs, the patterns of chaos are all around us. Fractals are patterns formed from chaotic equations and contain self-similar patterns of complexity increasing with magnification. If you divide a fractal pattern into parts you get a nearly identical reduced-size copy of the whole. The mathematical beauty of fractals is that infinite complexity is formed with relatively simple equations. By iterating or repeating fractal-generating equations many times, random outputs create beautiful patterns that are unique, yet recognizable.

the-star-stuff:

Earth’s Most Stunning Natural Fractal Patterns

Imaged Above: Romanesco Broccoli. This variant form of cauliflower is the ultimate fractal vegetable. Its pattern is a natural representation of the Fibonacci or golden spiral, a logarithmic spiral where every quarter turn is farther from the origin by a factor of phi, the golden ratio. Image: Flickr/Tin.G.

From sea shells and spiral galaxies to the structure of human lungs, the patterns of chaos are all around us.

Fractals are patterns formed from chaotic equations and contain self-similar patterns of complexity increasing with magnification. If you divide a fractal pattern into parts you get a nearly identical reduced-size copy of the whole.

The mathematical beauty of fractals is that infinite complexity is formed with relatively simple equations. By iterating or repeating fractal-generating equations many times, random outputs create beautiful patterns that are unique, yet recognizable.

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