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Mandelbrot set deep zoom

Double Spiral

The Double Spiral location of the Mandelbrot set, near c ≈ −0.045 + 0.987i, is two interlocking spirals along the upper antenna — the most popular destination for psychedelic fractal art.

Center:
-0.045239434 + 0.98679628i
Zoom:
3.000e-5
Palette:
psychedelic
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About Double Spiral

Up near c ≈ −0.045 + 0.987i, along the Mandelbrot set's vertical antenna, two opposing spirals lock together into one of the most photogenic patterns the set produces. Because the spirals are tightly nested and balanced, deep zooming here yields beautifully symmetric kaleidoscope-style imagery — exactly the kind of fractal art that ends up on album covers and trippy visualizers. Mandelbro pairs this view with the psychedelic palette: a high-saturation rainbow that maps escape iterations to a continuously cycling hue, so subtle iteration changes become bold color bands. Open the settings panel to swap palettes if you want a moodier or more minimal look.

About the Mandelbrot set

The Mandelbrot set is the set of complex numbersc for which the iteration zn+1 = zn2 + c does not escape to infinity. Its boundary is a fractal of infinite detail: every region you zoom into reveals new spirals, dendrites, and miniature copies of the entire set. Double Spiral is one of the most recognizable patterns in this boundary.

How Mandelbro renders this view

At this zoom level, Mandelbro uses standard double-precision rendering with a parallel pool of Web Workers — every CPU core in your device runs the escape-time algorithm in parallel on a slice of the viewport. Push the zoom another twelve orders of magnitude in and the renderer automatically switches to its perturbation pipeline, which uses one high-precision reference orbit to keep deep zooms sharp. See how Mandelbro works for the full explanation.

Other famous Mandelbrot locations