Description
Deep dive into computational geometry, mathematical curve generation, and spline interpolation. Focus on creating natural, organic curves and translating physical motion paths into generative vector systems.
Key Concepts
- Smooth Spline Geometry: Analyzing Hobby’s Curve Algorithm by John Hobby for calculating optimal cubic Bézier control points without unwanted inflection loops.
- Celestial & Harmonic Geometry: Johannes Kepler’s laws of planetary motion, elliptical trajectories, and the mathematical translation of orbits into geometric patterns.
- Acoustic & Kinetic Sound Installations: Examining Céleste Boursier-Mougenot’s physical sonification systems.
Core Coding Concepts
- Cubic and Quadratic Bézier curves (
bezier(),curveVertex()) - Vector math: magnitude, normalization, dot product, and angular steering
- Perlin & Simplex noise vs trigonometric waveforms for natural deformation