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. of increasing complexity. So fractals are a ...

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Oliver Wendell Holmes famously once wrote, "A mind that is stretched by a new experience can never go back to its old dimensions." My mind, and assuredly those of countless others, never did after ...

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 ...

When Richard Taylor was 10 years old in the early 1970s in England, he chanced upon a catalogue of Jackson Pollock paintings. He was mesmerized, or perhaps a better word is Pollockized. Franz Mesmer, ...

Here’s a fun project that my friend Upasana and I put together some weekends ago. It’s a visual exploration of fractals through dance, a piece of generative art that’s part performance and part ...

And these have smaller still to bite 'em, And so proceed ad infinitum. — Jonathan Swift, from "On Poetry: A Rhapsody" The satirist and author of Gulliver's Travels might have been talking about ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

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 ...

Large datasets like ImageNet have supercharged the last 10 years of AI vision, but they are hard to produce and contain bias. Computer generated datasets provide an alternative. Most image-recognition ...