Games · Fourier
A secret wave is hiding on the screen, built from a few pure sine harmonics. Your job: dial in the harmonic sliders until your curve lands on top of it. The closer you get, the higher your match — hit the target and earn your stars. It's Fourier decomposition, by hand and by feel.
Drag the sliders so your purple curve covers the gray mystery wave. Watch the match climb!
What you're really doing: every wave here is a sum Σ bₙ sin(nx) of harmonics. Matching it means finding the coefficients bₙ — exactly the job a Fourier transform does automatically. Play enough and you'll start to see the harmonics in a shape: the slow base swell is n=1, the fast ripples are the high n, and a hard corner needs a long tail of them. Want the theory? Visit the Fourier Learn page or the builder.
EngineeringCandy · Games · Fourier decomposition by feel · match it, beat it, learn