Newton

The Newton fractal is generated by Newton s method for solving 

polynomial equations. Different equations are available by changing the 

parameters. 

It is a simple and attractive fractal type. Newton fractals are strictly 

self 

similar

, so they are not very interesting zooming subjects. Instead, try a 

few different 

coloring algorithms

 to decorate them in various ways.

The formula provides the following parameters:

Specifies the exponent of the equation to be solved. The default value is (3, 

0), resulting in the equation: 

z

3

 + Root

Exponent

Try (4, 0), (5, 0) and so on to increase the symmetry order. Non integer 

values for the real part of the exponent will interpolate between these. If the 

imaginary part is not zero, the fractal will be further distorted.

Root

Specifies the root of the equation. This tends to rotate and magnify the fractal.

See Also

Nova (Julia)

Standard formulas

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