Fractals in nature geometry

I was curious, so I analyzed the geometry of the peacock's tail-feather display. Turns out the shape is a symmetrical phyllotaxis, which is somewhat surprising. Most phyllotaxis patterns in nature (like on pinecones, pineapples and sunflowers) have spirals of adjacent Fibonacci numbers (usually 5, 8, 13 or 21), but the peacock's feathers have the same count of spirals in both directions!

A fractal is defined as a "rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," according to their "discoverer" Benoit Mendelbrot (Nov. 20, 1924 – Oct. 14,...

Dive into the world of fractals with this comprehensive article on fractal art, geometry, and patterns. See stunning examples and learn about the history and applications of these complex mathematical shapes. Explore the beauty and complexity of fractals. Don't miss this must-read resource on everything fractal!

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fractal equation | ... some geometric fractals. Well examine the Koch Curve fractal below

Geometric forms are those which correspond to named regular shapes, such as squares, rectangles and circles. I like the fact that not all naturally occurring objects are organic and it is the precision and regularity of forms within the natural world which I find particularly inspiring. Below are just a few of many examples.

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A blog dedicated to mathematics.