Fourier Transforms

How to Use

This is an interactive educational tool that teaches Fourier transforms through visual demonstrations and hands-on activities. • Scroll through the page to read explanations and interact with animated examples • Click play buttons to hear different sound frequencies and wave combinations • Use sliders to adjust the number of sine waves and see how they build up complex patterns • Draw your own waves and shapes in the interactive canvases using your mouse or finger • Watch as your drawings are automatically converted into spinning circles (epicycles) that recreate your drawing • Experiment with the wave-drawing section by clicking and dragging to create custom waveforms • Use the epicycle drawing tool to create any shape and see it decomposed into circular motions The tool demonstrates how complex patterns can be broken down into simple sine waves or spinning circles. Each interactive element updates in real-time as you adjust controls. The goal is to build intuitive understanding of how Fourier transforms work by letting you see and hear the mathematics in action. No prior knowledge of mathematics is required - simply explore each section and experiment with the interactive elements to learn how waves, frequencies, and circular motions relate to each other.