Researchers have found a fractal pattern underlying everyday math. In the process, they’ve discovered a way to calculate partition numbers, a challenge that’s stymied mathematicians for centuries.

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 ...

As Sigmund Freud made very clear, human beings are compelled to repeat patterns—the repetition compulsion. Patterns laid down early in life are propelled forward to recreate the familiar that can be ...

(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 ...