Cubic surface: deformation of three planes to the Cayley cubic surface @davidamadore

Uploaded November 2010 | Updated September 2026, 2 weeks ago

A cubic surface that is reducible as the union of three planes being deformed to one with four A4 singularities (known as the Cayley cubic surface). The reducible surface occurs at 3ʺ and 9ʺ in the video.

From the cubic surfaces DVD, madore.org/cubic-dvd

Cubic surface: deformation of three planes to the Cayley cubic surface

Cubic surface: deformation of three A2 singularities (with real planes) to three A1 singularities

Between the horizons of a Kerr black hole (the lazy geodesic)

Visiting a Kerr black hole (old version / combined view)

Waves on a flat torus (triangular lattice)

Orbiting a Kerr black hole (the last stable direct orbit)

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