Trigonometric Art Generator

The Trigonometric Art Generator builds classic Lissajous figures—parametric curves defined by sinusoidal motion on the x- and y-axes. By varying the pair (a, b), you shape the fundamental frequency ratio that governs lobes, symmetries, and whether the curve closes on itself. When a and b are small coprime integers, the curve traces elegant, repeating patterns that are easy to analyze visually and mathematically, making this tool ideal for exploration, teaching, and generative design.

Each parameter has a clear, intuitive effect. The integers a and b adjust the horizontal and vertical frequencies; A and B scale the amplitude along each axis; and δ (phase) offsets the x‑signal to rotate, skew, or reveal hidden symmetries. The Resolution setting controls how many sample points are used—higher values produce smoother paths or denser dot fields at the cost of more computation. Try sweeping δ from −180° to 180° to see continuous transitions between families of shapes.

Styling and export round out the creative workflow. Toggle between a continuous path and a dot cloud to emphasize structure, and tune stroke color/width and fill to achieve different visual moods. When you are satisfied, export to SVG for infinitely scalable vectors (great for print, laser cutting, or editing in design tools) or to PNG for quick sharing with a solid background. Use the provided presets as starting points and then iterate to craft your own signatures.