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What Is a Newton Fractal and How Do You Explore One?

A Newton fractal is the picture you get when you color every point in the complex plane by which root Newton's method converges t…

What Is the Mandelbrot Set and How Do You Explore It Interactively?

The Mandelbrot set is the collection of points c in the complex plane for which the iteration z → z² + c, starting from z = 0, st…

What Is a Julia Set and How Do You Explore One?

A Julia set is the boundary between points that stay bounded and points that escape to infinity when you repeatedly apply the map…

What Is a Fractal Visualizer and How Do Interactive Fractal Viewers Work?

A fractal visualizer is a program that computes and displays fractal images—most commonly the Mandelbrot, Julia, and Newton sets,…

What Is Synaptic Spiral and How Does Its Interactive Fractal Visualizer Work?

Synaptic Spiral is a browser-based interactive fractal visualizer that renders mathematical art in real time using WebGL. It lets…