Interactive Geometry

This project explores the dynamic nature of Lissajous curves through an interactive geometric display. Inspired by the principles of Lissajous motion—representing oscillating systems along perpendicular axes—we developed a playful 10x10 grid. Users can transform outer shapes (circle, triangle, square) through simple clicks, while the inner tracing dynamically follows the mathematical logic of Lissajous curves, adapting to the selected geometry.

By combining mathematical representation with user-driven interaction, the project invites participants to engage with oscillatory patterns and observe how geometric constraints influence motion. The transformation of shapes highlights the versatility of Lissajous paths within varying boundaries, creating a visually captivating and exploratory experience.

This interactive display bridges computation and creativity, offering a foundation for future exploration in real-time data integration, 3D renderings, and multi-sensory experiences. Ultimately, it serves as a playful yet meaningful tool for understanding the harmony between mathematics, geometry, and design.