Phoenix (Julia, Mandelbrot)

Ultra Fractal phoenix Phoenix (Julia, Mandelbrot)

The Phoenix fractal is a modification of the classic Mandelbrot and Julia sets. The Phoenix (Julia) type is particularly interesting, with beautiful shapes and lots of spirals.

Use the Phoenix (Mandelbrot) formula to switch to interesting Phoenix (Julia) sets. Both versions are available as fractal formulas in Standard.ufm and as fractal formula plug-ins in Standard.ulb.

The formulas provide the following parameters:

Start Value
(Mandelbrot only)

For well-formed fractals, this should be set to (0, 0). Other values create distorted shapes that can be interesting, but they are usually not as well-formed.

Julia Seed
(Julia only)

This parameter specifies the point in the Mandelbrot version that corresponds to the current Julia version. It defines the shape and behavior of the fractal. Use the Switch feature to select good values.

Exponent 1

Increase the real value of the exponent to create more complex fractals with more symmetry. Non-integer real values and non-zero imaginary values create irregular fractals.

Exponent 2

By default, this is set to (0, 0). Use other values to create more complex, twisted fractals.


Sets how strong the effect of the previous iteration is upon the current iteration. Set this to (0, 0) to obtain standard Mandelbrot and Julia sets.


Specifies the magnitude of z at which the formula will stop iterating. Higher values will give smoother images with more detail.

See Also
Standard formulas

Phoenix (Julia, Mandelbrot)