Graham Wakefield

works publications teaching software experiments bio

Iterative function spaces

An exploration of iterative function systems in 3D. A set of 2¹⁶ points are iterated per frame according to the nonlinear system:

x1 = (1 + abs( a*y + z - c )) % d
y1 = (1 + abs( b*x - y - c )) % d
z1 = (1 + abs( -x - c )) % d

To break the chaotic symmetry, coefficients are varied smoothly over time, and per point. The result is a gradual emergence and decoherence of complex spatial structures.

Chladni 2D/3D

Here is a Max patche to simulate a Chladni plate pattern in 2D, and here is one that speculates what the equivalent might be for 3D.

Investigations

Iterative functions

Chladni patterns