Random stuff

Miscellaneous interactive visualisations and experiments.

Hopf Fibration Explorer

Visualise the fibres of the Hopf fibration h : S³ → S² in two ways: (1) stereographic projection into R³, and (2) fixed-t slices of S³ (coordinates x,y,z,t).

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The complex hyperbola

See the complex curve \(xy=1\) in \(\mathbb C^2\) through a phase-coloured projection and fixed-\(\operatorname{Im}x\) slices. Its real hyperbola is highlighted in red inside the complex surface.

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Associahedron

Rotate the three-dimensional \(K_5\) associahedron, or switch to the arrow diagrams for Mac Lane's pentagon and the Tamari graphs through \(K_6\).

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Moral philosophy

An SEP-backed logical classification with one stated discriminator at every split. Every theory, thinker, concept and argument is a visible node. Dashed edges mark indexed placement when a record crosses the strict classification axes.

Open the interactive map