Complex numbers and fractals

First of all, we look at how Python handles complex numbers. It is a simple matter. For example, setting x = 5 + 4j in Python, we must write the following:

>>> x = 5.+4j

It means that >>> x is equal to 5+4j.

At the same time, you can write the following:

>>> x = complex(5,4) 
>>> x 

We also note that:

  • Python uses j to mean √-1 instead of i in math.
  • If you put a number before the j, Python will consider it as an imaginary number, otherwise, its a variable. It means that if you want to write the imaginary number i, you must write 1j rather than j.

To get the real and imaginary parts of a Python complex number, you can use the following:

>>> x.real 
>>> x.imag 

We turn now to our problem, namely how to display ...

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