Magnet 1 and 2 (Julia, Mandelbrot)

The magnetic fractal types are created by a formula that models the 

way magnets behave under high temperatures. This leads to fractal 

pictures that are similar to the classic 

Mandelbrot

 and 

Julia

 sets, but 

with more complex patterns and numerous Mandelbrot set miniatures.

There are two common magnetic fractal types. Type 2 is more complex 

than type 1. Both types are available as Mandelbrot and Julia versions, 

so you can use the Mandelbrot version as a map to 

switch

 to the 

corresponding Julia fractals.

The formulas provide the following parameters:

For the standard fractals, this should be set to (0, 0). Other values create 

Perturbation

distorted shapes that can be interesting, but they are usually not as well 

(Mandelbrot only)

formed.

This parameter specifies the point in the Mandelbrot version that corresponds 

Parameter

to the current Julia set. It defines the shape and behavior of the Julia set. Use 

(Julia only)

the 

Switch feature

 to select good values.

Specifies the magnitude of z that will cause the formula to stop iterating. Use a 

Bailout value

value above 30 to obtain well formed fractals.

See Also

Standard formulas

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