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Finite Topology & Continuity Lab
Build finite topologies, compute interior, closure and boundary, and test continuity of maps by open-set preimages.
Open Sets · Manifolds · Curvature · Global Invariants
Topology & Differential Geometry Labs & Tools
Explore finite topologies, continuity, surface patches, curvature, geodesics, Euler characteristic, and Gauss–Bonnet. Visual and computational evidence supports proof; it does not replace it.
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Surface & Curvature Studio
Explore plane, sphere, cylinder, saddle and torus patches with tangent grids, normals and curvature summaries.
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Geodesic & Gauss–Bonnet Studio
Compare geodesic traces, Euler characteristic, total curvature and global topology on standard surfaces.
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Scientific Calculator v4
Use exact arithmetic, coordinate calculations, curvature values, metric checks, homology ranks, and numerical experiments while preserving theorem hypotheses and geometric interpretation.
CAD
OHMIC CAD Studio
Create atlases, quotient diagrams, cell complexes, surface meshes, tangent frames, bundle diagrams, geodesic maps, and research figures.
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Complete Arcade
Browse the wider internal Verve N Veda collection of mathematical, logical, geometric, and strategic activities.