Julia
Julia sets are closely related to the well known 
Mandelbrot set
. In fact, 
the Mandelbrot set is a map of Julia sets. For each point in the 
Mandelbrot set, there exists a unique Julia set.
Use the 
Switch feature
 to select a Julia set by moving the mouse cursor 
over a Mandelbrot fractal. The most interesting Julia sets are found at 
points close to the edge, where the colors change quickly.
Julia sets are strictly 
self similar
 and less complex than the Mandelbrot set. Still, they can be 
strikingly beautiful, and they are certainly very interesting to explore.
The formula provides the following parameters:
This parameter specifies the point in the Mandelbrot set that corresponds to 
the current Julia set. It defines the shape and behavior of the Julia set. Use the 
Julia seed
Switch feature
 to select good values.
Specifies the exponent. The default value is (2, 0), resulting in the classic 
equation. 
z = z
2
 + c
Power
Try (3, 0) and (4, 0) and so on to increase the symmetry order. Non integer 
values for the real part of the exponent or non zero values for the imaginary 
part will distort the fractal.
Specifies the magnitude of z that will cause the formula to stop iterating. To 
obtain "true" Julia sets, this should be set to 4 or larger. Larger values tend to 
smooth the outside areas. 
Bailout value
Some coloring algorithms require specific bail out values for good results.
Note: The Julia formula is also available as a more efficient built in formula with fewer options. See 
Julia (Built in)
.
See Also
Lambda (Julia, Mandelbrot)
Julia sets
Standard formulas
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