Random waves on a flat torus (triangular lattice) @davidamadore

Uploaded August 2019 | Updated September 2026, 2 weeks ago

This video can be described either as an analogue of youtube.com/watch?v=vod6z379S7g but with random initial data (and three color channels instead of one), or as an analogue of youtube.com/watch?v=T9y22RNj69c but on a flat torus instead of a sphere. See the descriptions of the aforementioned videos for more details.

Random waves on a flat torus (triangular lattice)

Voronoi cells of the E8 lattice: 3D cross section with Coxeter plane (wider view)

Cubic surface: deformation of Whitneys Umbrella to two A1 singularities

Navigating in a 120-cell (side view, old version)

Voronoi cells of the E8 lattice: a three-dimensional cross-section with Coxeter plane

Cubic surface: deformation of a single A2 singularity (with conjugate planes) to an A1 singularity

Visualizing the sphere and the hyperbolic plane: five projections of each

Cubic surface: deformation of an E6 singularity to a D5 singularity