Sinewave Step Lattices

Overview

This piece was created by initiating particle paths along a sinewave scaffold and evolving each trajectory according to a smoothly varying Perlin noise field. I sampled 150 points along a sine function defined over a normalized domain and launched each particle from those coordinates. At every step, the particle's direction was modulated by evaluating the noise function at its current position and converting that scalar value into an angular deflection. The result is a choreography of flow lines that oscillate with both periodic structure and local irregularity, producing a lattice of filament-like strands suspended in a waveform.

The underlying mathematics combines harmonic motion with spatially coherent randomness. The sinewave provides a deterministic waveform y = sin(πt), while the Perlin noise function pnoise3(x, y, z) introduces localized vector fields that modulate directionality. The angle of displacement is computed as 2π · noise2π · noise, ensuring smooth but non-repeating evolution across space. Each line segments the field incrementally through trigonometric steps weighted by a speed factor, yielding structures that suggest both engineered symmetry and natural drift. This blending of periodic and stochastic logic gives rise to a mathematical lattice that feels organic and deliberate at once.