Music & Acoustics
Fourier Synthesis (Square)
f(x) = (4/π) Σ sin((2k-1)x)/(2k-1)
A square wave assembling itself one odd harmonic at a time — watch the Gibbs overshoot form at the edges.
Computed & rendered in pure C# on the frozen OnlyCSharp 1.8 library — animation baked to GIF with the library's own
Gif encoder (no GPU, no ffmpeg, no external packages).