Fractals are geometric objects that are self-similar, i.e., you can break them apart into smaller pieces which are exact (but smaller) replicas of the original object. These smaller pieces in turn, ...

Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you’ve already heard of fractals, you’ve probably seen the picture above. It’s called the Mandelbrot ...

In May 2015, the University of Cambridge unveiled a strange white structure shaped like a futuristic Christmas tree. The occasion was the 100th anniversary of the Sierpiński triangle, a type of ...

(1) Recall the decomposition of the triangle into 4 smaller triangles of size 1/2 the whole triangle (as when we discussed the Sierpinski triangle). Number the small triangles 1 (bottom left), 2 ...

Fractals, being “exactly the same at every scale or nearly the same at different scales” as defined by Benoit B. Mandelbrot, are complicated yet fascinating patterns that are important in aesthetics, ...