A spiral arm of the violet basin winds towards the gold root.
Between the real-positive and upper-complex roots of z³ − 1, a spiral arm of violet-coloured basin winds ever tighter around a cluster of convergence nodes. The rapid brightening near the boundary shows how Newton's method speeds up as it approaches a root, creating a natural gradient from deep shade to bright highlight.
Real axis (Re)
0.55
Imaginary axis (Im)
0.32i
Zoom
8×
Max iterations
80
Complex address
A classic Mandelbrot region filled with curling seahorse-like spirals.
Mandelbrot SetA dense spiral basin where bifurcating arms fold into one another.
Mandelbrot SetTwo massive spirals interlock in a cosmic mathematical waltz.
Julia SetThree-armed rabbit ears spiral around each other in period-3 symmetry.
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