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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About Demofox

I'm a game and engine programmer at Blizzard Entertainment and have been making games since 1990 (starting out with QBasic and TI-85 games) My shipped titles include: * Heroes of the Storm * StarCraft II: Heart of the Swarm & Legacy of the void * Insanely Twisted Shadow Planet (PC) * Gotham City Impostors (PC, 360, PS3) * Line Rider (PC, Wii, DS) I also like hiking, making music, learning cool new stuff and attempting the impossible.