Welcome, guest | Sign In | My Account | Store | Cart

Dragon IFS Fractal

Python, 45 lines
 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45``` ```# Dragon Fractal using IFS method # FB - 20120106 import random from PIL import Image imgx = 512 imgy = 512 image = Image.new("RGB", (imgx, imgy)) maxIt = 100000 # max iterations allowed n = 6 # coloring level color = [0] * n red = [] grn = [] blu = [] for j in range(2): red.append(random.randint(0, 255)) grn.append(random.randint(0, 255)) blu.append(random.randint(0, 255)) xa = -1.0 / 3 xb = 7.0 / 6 ya = -1.0 / 3 yb = 2.0 / 3 x = 0.0 y = 0.0 for i in range(maxIt): k = random.randint(0, 1) for m in range(n - 1): color[m] = color[m + 1] color[n - 1] = k if k == 0: x0 = (x - y) / 2.0 y = (x + y) / 2.0 x = x0 else: x0 = 1.0 - (x + y) / 2.0 y = (x - y) / 2.0 x = x0 kx = int((x - xa) / (xb - xa) * (imgx - 1)) ky = int((y - ya) / (yb - ya) * (imgy - 1)) if kx >=0 and kx < imgx and ky >= 0 and ky <= imgy: image.putpixel((kx, ky), (red[color[0]], grn[color[0]], blu[color[0]])) image.save("DragonFractal_IFS.png", "PNG") ```

FB36 (author) 11 years, 4 months ago

And this is the C Fractal using IFS method:

``````# C Fractal using IFS method
# FB - 20120106
import random
from PIL import Image
imgx = 512
imgy = 512
image = Image.new("RGB", (imgx, imgy))
maxIt = 100000 # max iterations allowed

n = 6 # coloring level
color = [0] * n
red = []
grn = []
blu = []
for j in range(2):
red.append(random.randint(0, 255))
grn.append(random.randint(0, 255))
blu.append(random.randint(0, 255))

xa = -0.5
xb = 1.5
ya = -0.25
yb = 1.0

x = 0.0
y = 0.0
for i in range(maxIt):
k = random.randint(0, 1)
for m in range(n - 1):
color[m] = color[m + 1]
color[n - 1] = k
if k == 0:
x0 = (x - y) / 2.0
y = (x + y) / 2.0
x = x0
else:
x0 = (x + y) / 2.0 + 0.5
y = (y - x) / 2.0 + 0.5
x = x0
kx = int((x - xa) / (xb - xa) * (imgx - 1))
ky = int((y - ya) / (yb - ya) * (imgy - 1))
if kx >=0 and kx < imgx and ky >= 0 and ky <= imgy:
image.putpixel((kx, ky), (red[color[0]], grn[color[0]], blu[color[0]]))

image.save("CFractal_IFS.png", "PNG")
``````
LL Snark 11 years, 4 months ago

And The turtle C curve :

``````from turtle import *
from math import sqrt
sqrt2=sqrt(2)

def ccurve(l) :
if l<1 :
fd(l)
return
lt(45)
ccurve(l/sqrt2)
rt(90)
ccurve(l/sqrt2)
lt(45)

speed(0)
tracer(50,0)
ccurve(100)
update()
``````
 Created by FB36 on Sat, 7 Jan 2012 (MIT)