Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Hobbyists & Makers · Fourier Series

Fourier Series for a bell curve

Built for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker. Simulate a bell curve live below — adjust the inputs and watch it respond, right in your browser.

Fourier Series BuilderLive

synthesize waves from sinusoids

Controls

Add harmonics and watch sine waves sum into a square, sawtooth, or triangle wave — the Fourier series in action.

Presets

Harmonics

▶ Run in Python

Data Inspector

Wavesquare

Harmonics8

Basissine

Governing equation

f (t) = \frac{a _{0}}{2} + n = 1 \sum 8 (a_{n} cos nω t + b_{n} sin nω t)

Reading this result: Reconstructing the square wave from 8 sine harmonics. More harmonics sharpen the reconstruction and pull it closer to the ideal shape. But at each discontinuity the Gibbs phenomenon leaves a persistent ~9% overshoot spike — adding terms only narrows that ripple, it never removes it, no matter how many harmonics you sum.

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Frequently asked questions

Is this good for hobbyists & makers?: Yes — this version of "Fourier Series for a bell curve" is framed for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.