DIRECTORY / SANDBOXES / AUDIO-VISUALIZER.3D

3D FFT SPECTRUM VISUALIZER

Real-time Web Audio AnalyserNode frequency waterfall rendered across an isometric 3D grid.

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3D AUDIO SPECTRUM HUD

// SYNTHESIS GENERATOR

// VISUALIZER PROJECTION

FFT SMOOTHING 0.80

AMPLITUDE GAIN 1.5x

[Drag mouse to rotate 3D perspective terrain]

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RESEARCH & LEARNING VAULT // 3D WebAudio Waterfall & Lissajous Scope

Fast Fourier Transform (FFT) waterfall spectrum terrain and X/Y phase correlation.

ACADEMIC & ALGORITHMIC REFERENCE

// HISTORICAL ORIGINS

FFT was popularized by Cooley and Tukey in 1965. Jules Antoine Lissajous demonstrated harmonic curve intersections using mirrors in 1857.

// GOVERNING EQUATIONS

X_k = \sum_{n=0}^{N-1} x_n \cdot e^{-i 2\pi k n / N}, \quad x(t) = A \sin(a t + \delta), \; y(t) = B \sin(b t)

// BROWSER IMPLEMENTATION

Extracts real-time 128-bin FFT frequency spectrum slices and time-domain oscilloscope buffers, projecting historical slices onto a 3D isometric scrolling terrain.

// GUIDED EXPERIMENTS TO TRY IN THIS SANDBOX

1Lissajous Phase Ring

🎯 Action:Switch mode to 'Lissajous' and select 'Synthwave Arp'.

✨ Observe:Observe continuous geometric Lissajous phase loops breathing with the synth's stereo separation.

// CURATED PAPERS, RFCS & RESOURCES

An Algorithm for the Machine Calculation of Complex Fourier Seriespaper

By James W. Cooley & John W. Tukey (1965)

The seminal paper establishing the Fast Fourier Transform (FFT) algorithm.