Dragon-like scales that tile the plane in endlessly repeating detail.
The San Marco Julia set (c ≈ -0.7269 + 0.1889i) produces an intricate dragon-scale pattern reminiscent of Byzantine mosaics. Its dendrite-like arms interlock in a way that resembles the tiling work of San Marco Basilica in Venice. Zooming into any arm reveals smaller copies of the whole structure.
Real axis (Re)
0
Imaginary axis (Im)
0i
Zoom
1.8×
Max iterations
500
Julia constant c
-0.7269 + 0.1889i
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.
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