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Get Master at Math on Instagram: "⚙️ Fourier Epicycles: Drawing with Circles! 🌀✨ • Fourier epicycles show how combining rotating circles can trace out incredibly complex shapes. From waves to portraits—it’s all hidden in circles! 🎨📈 • Why it’s awesome: They prove that any curve, no matter how detailed, can be built from simple circular motion. 🌌 • Where it’s used: 🎵 Music & sound – Breaking signals into frequencies 📡 Engineering – Compression & communications 🎬 Animation – Creating smooth
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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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