24K views · 183 reactions | From Circles to Squares - This animation shows how a Fourier series builds a square wave. Starting smooth and wavy, each added harmonic sharpens the shape until it forms the classic square wave. | The Brain Maze | Facebook

The Fourier series is a mathematical tool that expresses a periodic function as the sum of simple sine and cosine waves. Each component wave, called a harmonic, has a specific frequency, amplitude, and phase, and together they reconstruct the original function. By breaking down complex waveforms into these fundamental trigonometric components, the Fourier series allows us to analyze signals in the frequency domain and understand how different frequencies contribute to the overall shape of the wa