The spiral gets wider by a factor of phi (φ) for every quarter turn it ... it's optimal for seeds to spread in the wind. Again, the fractal design is caused by accelerated growth.

And it turns out, we do the same thing with fractals. We see patterns and meaning in these mathematical objects. And a number have even been named after what they resemble. For example ...

Nature is messy, craggy and chaotic — or so it seemed until 1975, the year a maverick mathematician, Benoît Mandelbrot, invented the term fractals to describe patterns he had discerned within ...

Cauliflower provides a unique example of this phenomenon, because those spirals repeat at several different size scales—a hallmark of fractal geometry. This self-similarity is particularly ...

Stick, Murderbot, and Side Quest are among the best shows on Apple TV+ this month. Angela Watercutter How ‘Big Ag’ Spied on Animal Rights Activists and Pushed the FBI to Treat Them as ...

In Mandelbrot's view, another dimension exists between two and three dimensions. It's a fractal dimension, and the rougher something is, the higher its fractal dimension. This roughness ...

My scientific curiosity was stirred when I learned that many of nature's objects are fractal, featuring patterns that repeat at increasingly fine magnifications. For example, think of a tree.

Scientists take a crack at recreating the hypnotic fractal spirals of the Romanesco cauliflower. Credit...Evan Sung for The New York Times Supported by By Sabrina Imbler Monks once hoped to turn ...

Pattern repetition also occurs in our natural environment. Many of these patterns take the form of fractals. Fractals The classical Euclidean geometry taught in high school does not fit the ...