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mathswithmuza on Instagram: "Fourier epicycles are a fascinating visual interpretation of how complex shapes and signals can be represented as sums of simple circular motions. The idea originates from Fourier series, which express any periodic function as the sum of sine and cosine waves of varying frequencies, amplitudes, and phases. In the epicycle visualization, each sine and cosine component becomes a rotating circle (an “epicycle”) whose motion contributes to the overall path traced by the
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