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

As highly requested by you guys, here is another animation on the Fourier series! A Fourier series is a way to represent a periodic function as an infinite sum of sine and cosine terms. These trigonometric functions serve as the fundamental building blocks for many waveforms, allowing complex shapes to be reconstructed using simpler, oscillating components. The key idea is that any reasonable periodic function, no matter how jagged or irregular, can be decomposed into a sum of these smooth waves