A sweeping galactic spiral with deep filaments and radiant arms.
With c = -0.7 + 0.27i, this Julia set forms sweeping, galaxy-like arms that spiral outward in both directions. It is one of the most aesthetically pleasing Julia sets and is frequently used as a mathematical wallpaper. The level of detail in the filaments is extraordinary at moderate zoom levels.
Real axis (Re)
0
Imaginary axis (Im)
0i
Zoom
1.8×
Max iterations
500
Julia constant c
-0.7 + 0.27i
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 dense spiral basin where bifurcating arms fold into one another.
Mandelbrot SetForked filaments branch outward like a high-voltage tree frozen in mid-strike.
Mandelbrot SetTwo massive spirals interlock in a cosmic mathematical waltz.
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