About the Fourier: Making Waves simulation
Fourier's idea is that any repeating wave — a square wave, a sawtooth, even the sound of a violin — can be built by adding sine waves whose frequencies are whole-number multiples of the first. The amplitudes of those harmonics are the wave's recipe; change them and you change its shape and its sound.
In this Fourier simulation you add harmonics one at a time with sliders to build sine, square, triangle and sawtooth waves, hear the result, play a matching game against a target waveform, and build a wave packet to see why a short pulse needs a wide spread of wavelengths. It goes beyond the Class 11 Waves chapter into Olympiad-level ideas.
Also covers: harmonics, fourier series, square wave, sawtooth, superposition, wave packet.
