Discover the shape of data using algebraic topology through 28 interactive demonstrations.
Build the foundations of TDA: understand point clouds as data representations and simplicial complexes as the building blocks for topological analysis.
Learn to construct simplicial complexes from point cloud data using the Vietoris-Rips and Čech constructions.
Discover how homology groups count topological features: connected components (H₀), loops (H₁), and voids (H₂).
Track the birth and death of topological features across scales. Learn the matrix reduction algorithm at the heart of TDA.
Master the visual representations of persistence: barcodes, persistence diagrams, and how to interpret them.
See TDA solving real problems: protein structure analysis, single-cell genomics, time series, and network analysis.
Explore freely with the full TDA pipeline and experiment with datasets.