Mathematical Graphic Patterns
This animated canvas visualization generates evolving, abstract geometric patterns from mathematical formulas. White dots are drawn programmatically based on sine and cosine functions, with positions and speeds influenced by a continuously incrementing time variable. The rendering uses the HTML5 Canvas API’s `getContext('2d')`, `fillRect` for semi-transparent fading trails, and `arc` to draw each circle, creating a complex, shifting web of points that resembles a modern-day screensaver.