MathVista 3D

Parametric dragon

k = (4 + cos y) cos(z/4) e = y/8 − 20, d = √(k² + e²) q = sin(3k) + k sin(y/19+9)(6 + sin(14e − d)) c = d − t X = q cos(d/8 + t/4) + 50 cos c Y = q sin c + 7d sin(c/4)

Domain X (±)Domain Y (±)DetailTheme

Speed (t)

3D parametric dragon from nested trig

3D particle system

Two parameters y and z sweep a grid. Nested sines build k, e, d, q; t advances the phase so the body writhes. Z comes from k and q to give the form thickness.

This is a parametric curve mesh, not z = f(x, y). Play the animation to watch the dragon/squid coil while the camera axes tumble.

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