VX27

interactive studies in mathematical motion · three pieces, three models

01

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

each piece responds to hover · click · drag