Topological Data Analysis (TDA) has become one of the most powerful tools in modern data science, used to detect hidden structures in everything from protein folding to financial markets. Yet persistent homology — its core algorithm — remains locked behind Python libraries and academic papers. Nobody has made an intuitive, interactive browser tool where you can draw point clouds and watch topology emerge in real-time with audio feedback. This project bridges that gap.
An interactive persistent homology explorer. You draw or generate point clouds on the canvas, then watch as growing circles reveal the hidden topological structure: connected components (H⁰) merge together and loops/holes (H¹) appear and disappear. Each feature is tracked across a "filtration" parameter (radius), visualized as animated barcodes and persistence diagrams, and sonified so you can hear the topology of your data.