VisuApps
Manifolds, tangent spaces, curvature — the foundations of modern geometry
Apps
The triply periodic minimal surface sin x cos y + sin y cos z + sin z cos x = t as a surface with two side colours, as a labyrinth or as a shell: it splits space into two equal, intertwined labyrinths. The level t shifts the surface, volume shares and curvature respond live; cutting it open reveals the channels. Exhibit-ready.
Differential geometryTry it
Shrink loops on sphere-like surfaces and a torus. Explore a schematic Ricci flow, smoothing and surgery inspired by Perelman’s solution.
Differential geometryTry it
Deformed 2-sphere as a manifold — drag the point p, tangent plane T_pM with basis ∂/∂u, ∂/∂v and a free vector, chart φ: U → R², Gaussian curvature coloured.
Differential geometryTry it
Transport a vector around loops on a sphere, torus, saddle, landscape and intrinsically flat cylinder. Compare rotation angles and spreading geodesics.
Differential geometryTry itWant to use these apps in your courses? Let’s find out what works for you.
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