Cubic surface: deformation of three planes to a smooth surface @davidamadore

Cubic surface: deformation of three planes to a smooth 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 a smooth 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 a smooth surface

Cubic surface: a smooth surface (simple rotation)

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

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Rotation of the E8 root system

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

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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

Cubic surface: deformation of three planes to a smooth surface