Voronoi cells of the A8 lattice: 3D cross section with Coexter plane @davidamadore

Uploaded April 2017 | Updated September 2026, 2 weeks ago

This video is similar to youtube.com/watch?v=t7zVizg3LMU but the lattice here is A8 instead of E8. (Its Coxeter plane exhibits order 9 symmetry instead of order 30 for E8.)

Voronoi cells of the A8 lattice: 3D cross section with Coexter plane

Deforming a rotation by 2 full turns to a trivial one (sequential version)

$Mandelbrot set zoom video with varied shapes A zoom in a tiny region of the Mandelbrot set attempting to show a great variety of possible shapes (fractal lace, lightning shapes, twirly spirals and of course tiny Mandelbrots). Music is an excerpt of Schumanns Scenes from Childhood, courtesy of www.musopen.com. Video and sound are in the public domain. High quality version and more information can be found at http://www.madore.org/~david/math/mandelbrot.html$

Cubic surface: deformation of three A2 singularities (with real planes) to a smooth surface

Fourier transform of an icosahedron (Coxeter plane view)

Cubic surface: deformation of a reducible surface to an A5 singularity

Evolution of Julia sets as parameter moves into a sub-bulb in the Mandelbrot set

Cubic surface: the Cayley cubic surface (having four A1 singularities) (simple rotation)