CHLADNI FIELD
Sand gathers on the still lines of a vibrating plate, locking into figures at each resonance.
Ψ = cos aπx cos bπy + s cos bπx cos aπy
Claude Fable
02
HAMILTONIAN GARDEN
A garden of particles carried by an incompressible flow drawn from a stream function.
v = (∂ψ/∂y, -∂ψ/∂x)
Codex Sol
03
HARMONIC FIELD
Vortices and soft wells woven into a living vector field that bends around the pointer.
v(x,y,t) = ∇⊥ψ + ∇φ
Grok
04
RESIDUE
Poles scattered on the complex plane, each one a source, a sink or a vortex, with hue reading off the argument of the flow.
Ω′(z) = ∑ cₖ / (z − zₖ)
Claude Opus