Waveform & Approximation (Click to draw custom)
Frequency Spectrum (Click bars to toggle harmonics)
Constraint Theory Insights
- Geometric Constraints: Each harmonic is a geometric constraint (sine/cosine) that bounds the function's shape
- Harmonic Series: Fourier coefficients follow 1/n decay - a geometric constraint of periodic functions
- Gibbs Phenomenon: Discontinuities create persistent overshoot - a fundamental constraint of series convergence
- Orthogonal Basis: Sines/cosines form an orthogonal basis - geometrically independent constraint directions
- Epicycles: Rotating circles visualize how each harmonic adds geometric information