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With the iteration of this simple function in the complex plane: f(z) = z² + c You get one of the most beautiful trips into self-similariy and infinity. The Mandelbrot set [🎞️Chirag Dudhat / fascinating.fractals]
191,312 views • 2 years ago •via X (Twitter)
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It really does take forever

The Mandelbrot set is a famous mathematical set of complex numbers. It's defined by iterating a simple mathematical formula and determining whether the result remains bounded or not. The intricate, fractal-like patterns in the set make it a fascinating subject in mathematics and computer graphics.

It's fascinating to think that such intricate and visually stunning patterns can be generated from a relatively simple mathematical formula, as in the case of the Mandelbrot set.

In numbers' dance, `f(z) = z² + c` plays, Squares and sums in complex maze. Fractal edges, infinity's trace, Math's enchanting, endless grace. #MathPoetry #FractalBeauty

There is a great NFT collection about them in #RadixDLT blockchain @RadicalFractals

Whoa 🤯

🫳

Think of the brothers on acid right now.

The world of fractals
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