Dynamic self-replication The term fractal —meaning broken or fractured—was coined in 1975 by mathematician Benoît Mandelbrot, who ended up defining the brand-new field of fractal geometry.

"Fractal Geometry is a new branch of mathematics that describes the world as it is, rather than acting as though it's made of straight lines and spheres. There are very few straight lines and ...

It's a fractal dimension, and the rougher something is, the higher its fractal dimension. This roughness, this fractal dimension, he discovered, could be measured quite well using fractal geometry.

The teacher will introduce Benoit Mandelbrot and his work trying to solve the problem of mapping and measuring organic forms, which resulted in the development of fractal geometry. The teacher will ...

Fractals are found in many parts of nature–in objects such as cauliflower, broccoli, clouds, lightning bolts, and snowflakes, as well as in coastlines, mountain ranges, and animal patterns.

Fractal geometry investigates complex shapes that exhibit self-similarity across multiple scales, while spectral analysis focuses on the study of the eigenvalues and eigenfunctions of operators ...

With the books “Fractals: Form, Chance and Dimension” (1977) and “The Fractal Geometry of Nature” (1982), he became the math world’s equivalent of a rock star — the Carl Sagan of the ...

Fractals are intricate geometric structures created when patterns (or pieced of patterns) are altered and duplicated at ever-diminishing scales. Even simple shapes can quickly grow complicated ...