"""
Just for Fun:
Simple Fractal (ASCII art)
(cc) Kirby Urner, MIT license
4dsolutions.net
"""
class M:
"""
Plant an M-Seed and call it, in each cell of the Garden
"""
depth = 7
def __init__(self, x, y):
self.c = complex(x,y)
def __call__(self):
z = 0+0j
for _ in range(M.depth):
z = z**2 + self.c
return z
class Fractal(dict):
"""
This is the Garden, a complex plane planted with M-Seeds
Inherit from dict to store complex numbers in key (x,y)
"""
def __init__(self, left_x, top_y, right_x, bottom_y):
"""Top Left, Top, Far Right, Bottom"""
super().__init__()
self.left_x = left_x
y = self.top_y = top_y
self.right_x, self.bottom_y = right_x, bottom_y
while y >= bottom_y:
x = left_x
while x < right_x:
self[(x,y)] = M(x,y)() # plant seed and call it
x += 0.02
y -= 0.05
def __str__(self):
"""
Reap the harvest
"""
rows = ""
y = self.top_y
while y >= self.bottom_y:
row=""
x = self.left_x
while x <= self.right_x:
v = abs(self[(x,y)])
# calibrate by magnitude of stored value
if v >= 2:
row += "."
elif 2 > v >= 1.5:
row += "^"
elif 1.5 > v >= 1.3:
row += "+"
elif 1.3 > y >= 1.0:
row += "@"
else:
row += "@"
x += 0.02
rows += row + "\n"
y -= 0.05
return rows
if __name__ == "__main__":
# run me and open the file in a text editor to see 'fractal'
f = Fractal(-2.2, 1.4, 0.8, -1.4)
with open("mandelbrot.txt","w") as mandelbrot:
print(f, file = mandelbrot)
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