Three-armed rabbit ears spiral around each other in period-3 symmetry.
Named by mathematician Adrien Douady, this Julia set has a famous period-3 structure that produces three distinct rabbit-ear lobes spiraling around a central void. The constant c = -0.1226 + 0.7449i sits at the tip of a small bulb on the Mandelbrot set, giving the Julia set its connected, lacy structure.
Real axis (Re)
0
Imaginary axis (Im)
0i
Zoom
1.8×
Max iterations
500
Julia constant c
-0.1226 + 0.7449i
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 SetA dense spiral basin where bifurcating arms fold into one another.
Mandelbrot SetTwo massive spirals interlock in a cosmic mathematical waltz.
This is just one of thousands of unique views. Open the interactive explorer and find your own.
