Godbolt does Python! (And lots of other languages…)

import cmath

# Set how far to zoom into the set, you can tweak this value
scale = 25

# Calculate if each point in an x-y plane "escapes" the shape
for y in range(-12, 12):
    for x in range(-55, 45):

        # Create a complex number based on current coordinates
        # Note the fudge factor of 2 because characters are taller than high
        c = complex(x / scale, y / scale * 2)

        # Initialise the calculation
        z = 0

        # Check if calculation remains bounded (stays on the page)
        for _ in range(20):

            # THE IMPORTANT BIT!
            # https://en.wikipedia.org/wiki/Mandelbrot_set

            z = z * z + c

            # These numbers can get pretty big very quickly
            # So quit the loop if the result is already off the page
            if abs(z) > 9:
                z = 0
                break

        # Print this point
        print(chr(int(abs(z) > 0) + 32), end="") 

    # Print a New line at the end of each row
    print("")

https://godbolt.org/z/oco7KGbjb

Output:

                                                                     
                                                    !!               
                                                  !!!!!              
                                                 !!!!!!              
                                         ! ! !!!!!!!!!!!! !!    !    
                                         !!!!!!!!!!!!!!!!!!!!!!! !   
                                         !!!!!!!!!!!!!!!!!!!!!!      
                                       !!!!!!!!!!!!!!!!!!!!!!!!!     
                                !     !!!!!!!!!!!!!!!!!!!!!!!!!!!!!  
                         !!!!!!!!!   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!   
                        !!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!    
                     !! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!     
     !!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!! !!!!!!       
                     !! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!     
                        !!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!    
                         !!!!!!!!!   !!!!!!!!!!!!!!!!!!!!!!!!!!!!!   
                                !     !!!!!!!!!!!!!!!!!!!!!!!!!!!!!  
                                       !!!!!!!!!!!!!!!!!!!!!!!!!     
                                         !!!!!!!!!!!!!!!!!!!!!!      
                                         !!!!!!!!!!!!!!!!!!!!!!! !   
                                         ! ! !!!!!!!!!!!! !!    !    
                                                 !!!!!!              
                                                  !!!!!              
                                                    !!