An interactive Fourier visualization tool that demonstrates both Discrete Fourier Transform (DFT) and Fast Fourier Transform (FFT), including inverse reconstruction. It lets you decompose signals into frequency components and rebuild them step by step through intuitive epicycle animations.

Users can switch between DFT (educational, step-by-step decomposition) and FFT (optimized computation), while observing how each sine and cosine component contributes to the final waveform. The inverse transform visually reconstructs the original signal from rotating vectors, making the full Fourier cycle easy to understand.

Ideal for learning signal processing, mathematical visualization, and creative generative design workflows, this tool turns abstract transforms into clear, dynamic epicycle-based animations.