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import cmath # Calculate if each point in an x-y plane "escapes" the shape for y in range(-10, 10): for x in range(-40, +40): # Initialise the calculation z = 0 # Create a complex number based on current coordinates # Note the fudge factor of 2 because characters are taller than high c = complex(x / 20.0, y / 10.0) # Check if calculation remains bounded (stays on the page) for _ in range(30): # THE IMPORTANT BIT! # https://en.wikipedia.org/wiki/Mandelbrot_set z = pow(z, 2) + c # These numbers can get pretty big very quickly # So quit the loop if the result is already off the page if abs(z) > 2: break # Print this point print(chr(int(abs(z) <= 2) + 32), end="") # Print a New line at the end of each row print("")
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