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).

Open the visualisation

Associahedron

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

Open the visualisation

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