Humans are visual creatures. Objects we call “beautiful” or “aesthetic” are a crucial part of our humanity. Even the oldest known examples of rock and cave art served aesthetic rather than utilitarian ...

You're currently following this author! Want to unfollow? Unsubscribe via the link in your email. You probably haven't thought of fractals since your high school geometry class, but there's a chance ...

When Harry Potter first went to Hogwarts, he caught his train from Kings Cross, platform 9¾. The idea of a platform between two whole numbers might seem impossible to imagine. However, for someone ...

How long is a country’s border? That’s the seemingly simple question mathematician Lewis Fry Richardson asked himself more than 75 years ago. The thing that puzzled him was that the length of the ...

As a mathematical concept, the fractal can be intimidating. Benoit Mandelbrot, the Polish-born mathematician who coined the term, defined a fractal as “a rough or fragmented geometric shape that can ...

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 ...

Fractals, self-replicating patterns seen at varying scales, are a fascinating phenomena found widely in nature, from snowflakes to ferns and coastlines. But did you know that fractals can also be used ...

Introduction Do you ever wonder what mathematicians study—and why? Most of what they do is complex and difficult to understand, but fractal art might give us a glimpse. Mathematicians study fractals, ...

This week, Business Insider has been running a series of math tricks, statistical rules and trading patterns that have investors split in two: skeptics and fanatics. Today we continue with a concept ...

Topological insulators for light have been created using fractal patterns instead of conventional lattice structures. The fractal photonic topological insulators (PTIs) were made by an international ...