Create a Model

A model in fractpy is an object which represents the method it is using to generate fractals.

Note

FractPy currently supports only Newton Fractal method of fractal generation for polynomial functions with real powers. More methods are currently in development.

To make a Newton Fractal Model for the function \(f(x) = (x^2 - 1)(x^2 + 1)\) all we have to do is pass in the function as str to the NewtonFractal class from module fractpy.models:

>>> from fractpy.models import NewtonFractal
>>> model = NewtonFractal("(x**2 - 1)(x**2 + 1)")
>>> model
### FractPy Model ###
Type: Newton Fractal
Function: (x**2 - 1)*(x**2 + 1)

Note

For complex values use I (upper case i) instead of commonly used convention of i. For example: function \(f(x) = (x - 1)(x + i)(x - i)\) would be passed as "(x - 1)(x + I)(x - I)".

We can use this model to generate fractals!