fractals

More fun with IFS Fractals

I have been playing with some iterated function systems again. These images were built using two affine transformations, one being a rotation through 20 degree composed a scaling of 90% and the second is a general affine transformation chosen at random. Some of the best of these results I have attached here. I have added...




fractals

What are fractals and how can they help us understand the world?

Fractals are common in nature because of the surprisingly simple way they are made. Mathematically, they also help us make sense of complexity and chaos – and maybe even quantum weirdness




fractals

Computer Scientist Explains Fractals in 5 Levels of Difficulty

Computer scientist Keenan Crane, PhD, is asked to explain fractals to 5 different people; a child, a teen, a college student, a grad student, and an expert.




fractals

Fractals and Flow

Outdoors, patterns abound. One need not be a mathematician in order to view and appreciate them. The widening whorls of seeds in a sunflower head are often used to illustrate the Fibonacci sequence of numbers (0, 1, 1, 2, 3, 5, 8….) in which each figure is the sum of the two preceding digits. Other […]

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fractals

The nonlinear workbook : chaos, fractals, cellular automata, genetic algorithms, gene expression programming, support vector machine, wavelets, hidden Markov models, fuzzy logic with C++, Java and symbolic C++ programs / Willi-Hans Steeb, University of Jo

Steeb, W.-H