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Can Three Sine Waves Weave a 3D Maze?
Chaos & dynamics

Can Three Sine Waves Weave a 3D Maze?

BEHIND THE WORK

Can three sine waves weave a 3D maze?

One point follows the cyclic system dx/dt = sin(y) − 0.208186x, dy/dt = sin(z) − 0.208186y, and dz/dt = sin(x) − 0.208186z. Each coordinate responds to the next, so a tiny change keeps feeding around the loop. The path never repeats exactly; it accumulates into the Thomas attractor.

Artismathic turns equations into visual art—one function at a time.

Music: 'Amber' by VYEN

#MathArt #ChaosTheory #ThomasAttractor

THE MATHEMATICAL RULE

dx/dt=sin(y)−0.208186xdx/dt = sin(y) − 0.208186xdy/dt=sin(z)−0.208186ydy/dt = sin(z) − 0.208186ydz/dt=sin(x)−0.208186zdz/dt = sin(x) − 0.208186zStart:(1.1,1.1,−0.01)Start: (1.1, 1.1, −0.01)
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