education
FOURIER SERIES
Interactive visualization of Fourier series decomposition with rotating epicycles. Build classic waveforms or draw your own.
Left: Rotating epicycles | Right: Waveform output | Click to set time = 0
Wave Type
Harmonics
Speed
Display
Show circles
Show trace line
Glow effect
10
Harmonics
0.0
Time (s)
f(t) = (4/π) × Σ sin((2k-1)ωt)/(2k-1)
Click on the epicycle area to reset time to 0. Watch the circles rotate and trace the waveform on the right.