WONDER

Apollonian gaskets, strange attractors, recursive depth. The mathematics that makes you stop and stare.

Apollonian gaskets, harmonographs, Mandelbrot orbits, recursive structures, and strange attractors. Mathematics that reveals unexpected beauty — order emerging from simple rules.

72 renders. 5 survived.

Apollonian Gasket — (k₁+k₂+k₃+k₄)² = 2(k₁²+k₂²+k₃²+k₄²)

Apollonian Gasket

(k₁+k₂+k₃+k₄)² = 2(k₁²+k₂²+k₃²+k₄²)

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Harmonograph — x = A₁sin(f₁t+φ₁)e^{-d₁t} + A₂sin(f₂t+φ₂)e^{-d₂t}

Harmonograph

x = A₁sin(f₁t+φ₁)e^{-d₁t} + A₂sin(f₂t+φ₂)e^{-d₂t}

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Mandelbrot Orbit — z_{n+1} = z_n² + c

Mandelbrot Orbit

z_{n+1} = z_n² + c

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Recursion — f(n) = f(f(n-1))

Recursion

f(n) = f(f(n-1))

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Strange Attractor — dx/dt = σ(y-x), dy/dt = x(ρ-z)-y, dz/dt = xy-βz

Strange Attractor

dx/dt = σ(y-x), dy/dt = x(ρ-z)-y, dz/dt = xy-βz

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Complete WONDER Series

All 5 pieces as high-resolution PDFs. Print-ready at 300 DPI.

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▶The Story Behind This Series

Wonder is the feeling of encountering structure where you expected chaos. A fractal that generates infinite complexity from three lines of code. A strange attractor that never repeats but always stays bounded. This series renders the mathematics that provokes that feeling.

Mathematical primitive: fractals, strange attractors, recursive geometry