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Strange Attractors

I recently came across a tutorial on creating these funky math shapes in geometry nodes so I making and rendering a couple myself.

Thomas Attractor

Thomas Attractor

b = 0.208186
dx/dt = sin y - bx
dy/dt = sin z - by
dz/dt = sin x - bz

b = 0.208186
dx/dt = sin y - bx
dy/dt = sin z - by
dz/dt = sin x - bz

Halvorsen Attractor

Halvorsen Attractor

a = 1.04
dx/dt = -ax - 4y - 4z - y^2
dy/dt = -ay - 4z - 4x - z^2
dz/dt = -az - 4x - 4y - x^2

a = 1.04
dx/dt = -ax - 4y - 4z - y^2
dy/dt = -ay - 4z - 4x - z^2
dz/dt = -az - 4x - 4y - x^2