Home▸Mathematics▸Persistent Homology Gallery: Vietoris-Rips Barcode of a Noisy Torus Point Cloud, Betti Numbers and Stability

🍩 Persistent Homology Gallery: Vietoris-Rips Barcode of a Noisy Torus Point Cloud, Betti Numbers and Stability

Walk around a Blender-built gallery where a glass case holds a point cloud on a hidden shape; grow balls around the points, watch edges and triangles fill in, and read the persistence barcode, Betti numbers and stability bound computed live.

Mathematics3DAdvanced60 FPS📱 Mobile-adapted🟠 Blender⇄ 2D version

⚙ Under the hood

Walk around a Blender-built gallery where a glass case holds a point cloud sampled from a hidden shape: grow balls around the points, watch edges and triangles fill in, and read the persistence barcode, Betti numbers and the stability bound computed live, with six in-page numerical checks.

persistent homologytopological data analysisVietoris-RipsbarcodeBetti numbersBlenderThree.js

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install