Home▸Mathematics▸3D Sine Wave as a Phasor Helix: Projection onto Walls and Fourier Synthesis

🌀 3D Sine Wave as a Phasor Helix: Projection onto Walls and Fourier Synthesis

A Blender-modelled optics bench shows the sine wave as the shadow of a phasor helix: the 3D curve of a rotating phasor chain with its sine and cosine projections onto a wall and a floor, Fourier synthesis of square, sawtooth and triangle waves, and live checks.

Mathematics3DModerate60 FPS📱 Mobile-adapted🟠 Blender⇄ 2D version
3D Sine Wave as a Phasor Helix: Projection onto Walls and Fourier Synthesis ↗ Open standalone
⚙ Under the hood

A Blender-modelled optics bench shows the sine wave as the shadow of a phasor helix: the 3D curve of a rotating phasor chain with its sine and cosine projections onto a wall and a floor, Fourier synthesis of square, sawtooth and triangle waves, and live checks.

Sine WavePhasorFourier SeriesHelixGibbs PhenomenonThree.jsBlender

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install

What did you find?

Add reproduction steps (optional)