Lissajous Curves

Dynamic Drawing of Lissajous Curves

This code generates an animated grid of Lissajous curves on an HTML canvas element. The curves dynamically change over time based on predefined frequency multipliers for the x- and y-axes.

The overview of the code is as follows:

1. The initialize function sets up the canvas, calculates the size and spacing of the curves, and prepares a grid of drawing functions, one for each curve in the animation. It then starts the animation loop by calling the draw function.
2. The draw function handles the actual animation. It places each curve in the correct position on the grid, scales it to fit, and draws it using the corresponding drawing function. After completing one frame, it schedules the next frame using requestAnimationFrame, making the animation continuous and smooth.
3. The makeDrawingFunction function creates a drawing routine for a single Lissajous curve. It uses the curve's unique frequency multipliers to calculate its motion and draws the curve point by point. To make each curve visually distinct, it applies a color based on the curve's parameters. This ensures that every curve in the grid has a unique appearance and movement.