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

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

Uploaded April 2017 | Updated September 2026, 2 weeks ago

See youtube.com/watch?v=w7y8HA-k_b4 for description: this is the same thing but with a view 3× larger in both directions.

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

Fourier transform of the E8 root system

Fourier transform of an icosahedron

Cubic surface: deformation of Whitneys Umbrella to two A1 singularities

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

Waves on a flat torus (square lattice)

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

Navigating in a 600-cell (old version)

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

The sound of the Cantor set

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