Counting in Binary is a Fractal

I can’t remember for sure but I think I read about this first in A New Kind Of Science by Stephen Wolfram (yes, the same guy who made Wolfram Alpha!). Counting in binary is actually a fractal, check out these 4 sequential images…

BinaryFractal1

BinaryFractal2

BinaryFractal3

BinaryFractal4

Real Time Demo

To see it in action, check out this WebGL shadertoy:
Shadertoy: 1, 2, 3 fractal


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