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Math / Interactive

Strange Attractors

This is an implementation of Numberphile’s ideas from their Chaos Game Video. Click on Run Simulation below to see the magic happen!

Intro

In the plot you will see the latest point (orange) and a set of attractors. At every iteration, a random attractor is selected and the latest point becomes the midpoint between the attractor and the orange point. Repeat this thousands of times and fractals start to emerge.

You can play around with the list of attractors, number of iterations per simulation and the strength of the pull towards the attractor.

Tool

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Can you replicate these patterns?

Sierpinski Triangle

Sierpinski Triangle

Sierpinski Tetrahedron

Sierpinski Tetrahedron

Sudoku

Sudoku

Big Sudoku

Big Sudoku

Octogon

Octogon

Cursor

Cursor

Falcon

Falcon

Perspective

Perspective

Tic Tac Toe

Tic Tac Toe

Trapezoid

Trapezoid