Smooth concentric rings rotate around a central quasiperiodic region.
When c lies in a Siegel disk region of the Mandelbrot set, the resulting Julia set features a smooth invariant disk at its center where orbits rotate quasiperiodically forever — neither escaping nor settling into a cycle. The boundary between the disk and the chaotic exterior is one of the most beautiful regions of the Julia set.
Real axis (Re)
0
Imaginary axis (Im)
0i
Zoom
1.8×
Max iterations
600
Julia constant c
-0.3905 + 0.5867i
Complex address
This is a Julia set for the constant . Rather than varying across the plane, the Julia set fixes and varies the starting point to determine which initial values lead to bounded orbits.
Because this value of lies inside the Mandelbrot set, the corresponding filled Julia set is connected (the Douady-Hubbard connectivity theorem).
A classic Mandelbrot region filled with curling seahorse-like spirals.
Mandelbrot SetA perfect miniature copy of the entire Mandelbrot set, floating in the deep.
Mandelbrot SetA dense spiral basin where bifurcating arms fold into one another.
Mandelbrot SetTwo massive spirals interlock in a cosmic mathematical waltz.
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