Evolution of Julia sets as parameter leaves the largest bulb of the Mandelbrot set @davidamadore

Uploaded February 2020 | Updated September 2026, 2 weeks ago

Evolution of Julia sets as their parameter point moves away from the center of the largest (or period 2) bulb of the Mandelbrot set and leaves it at an irrational point (here with rotation angle conjugate to the golden ratio). The position of the parameter point is shown in red in the Mandelbrot inset at the bottom left. It moves away from the center while keeping the same multiplier angle of the 2-cycle.

Evolution of Julia sets as parameter leaves the largest bulb of the Mandelbrot set

Voronoi cells of the E8 lattice: a random three-dimensional cross-section

Cubic surface: deformation of three planes to a smooth surface

Cubic surface: a smooth surface (simple rotation)

Evolution of Julia sets as parameter dives into crevice with argument 1/3

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)