fractals

Two Ways to Draw Infinite Jest's Sierpinski Gasket Table of Contents 1. About infiniteJest dfw fractals sierpinski In a 1996 Bookworm interview with Michael Silverblatt, David Foster Wallace confirmed something Silverblatt had spotted about Infinite Jest: Silverblatt, talking about Infinite Jest's structure: I said to myself, this must be fractals. DFW replied: I've heard you're an acute reader….…

Over the last half 50 years, fractals have challenged ideas about geometry and pushed math, science and technology into unexpected areas.

Decoding Math’s Most Famous Fractal Decoding Math’s Most Famous Fractal Mathematicians working in the field of complex dynamical systems are patiently unraveling the Mandelbrot set’s mysteries and may be on the verge of solving a fundamental conjecture that would allow them to describe the set completely. Explore All Videos Biggest Breakthroughs in Biology 2025 2025’s most surprising breakthrough…

For decades, a small group of mathematicians has patiently unraveled the mystery of what was once math’s most popular picture. Their story shows how technology transforms even the most abstract mathematical landscapes. The post The Quest to Decode the Mandelbrot Set, Math’s Famed Fractal first appeared on Quanta Magazine

Perhaps more than any other area of serious mathematics, fractals and more specifically the Mandelbrot set, have attracted a great deal of public interest. Continuing this pattern, the Mandelbulb set caused a great deal of excitement. As the Mandelbulb website it says, however, “there’s good reason to believe that it isn’t the real McCoy.” And […]

There doesn’t seem to have been much done in the way of studying fractals of iterated functions involving gamma. At least nothing that I could find. So I started playing around with it. It’s a bit difficult to work with as sage (4.3.2) keeps crashing when I try to plot it (try to run complex_plot(gamma(gamma(x)), […]

I mess around with fractals a lot, and sometimes stumble on some interesting things. Recently I came across some odd jagged/discontinuous fractals: This tends to happen in fractals as soon as I involved non-Integer powers. Why is this happening? To understand this, we need to look at some basic complex analysis. Recall that a complex […]

Fascinating: African fractals, in buildings and braids "I am a mathematician, and I would like to stand on your roof." This is how Ron Eglash greeted many African families while researching the intriguing fractal patterns he noticed in villages across the continent. He talks about his work exploring the rigorous fractal math underpinning African architecture, art and even hair braiding . Animals …