A perfect mathematical tree branching into infinite detail.
With c = i (the imaginary unit), the Julia set forms a dendrite — a tree-like fractal with infinite branching. Every branch is a scaled copy of the whole, creating one of the most mathematically pure Julia sets.
Real axis (Re)
0
Imaginary axis (Im)
0i
Zoom
1.9×
Max iterations
900
Julia constant c
-0.74543 + 0.11301i
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 SetMassive elephant-trunk filaments wind through the boundary in repeating arcs.
Mandelbrot SetForked filaments branch outward like a high-voltage tree frozen in mid-strike.
Mandelbrot SetSnowflake-like dendrites flare around a dark bay in cool ocean tones.
This is just one of thousands of unique views. Open the interactive explorer and find your own.
