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March 4, 2016 13:01
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Fractal: Minkowski sausage
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class Point: | |
thn = atan(0.5) | |
thnn = 3 * PI / 2 | |
def __init__(self, x, y): | |
self.x = x | |
self.y = y | |
def nextPoints(self, p1): | |
pnx = ((p1.x - self.x) * cos(self.thn) - (p1.y - self.y) * sin(self.thn)) / sqrt(5) + self.x | |
pny = ((p1.x - self.x) * sin(self.thn) + (p1.y - self.y) * cos(self.thn)) / sqrt(5) + self.y | |
pn = Point(pnx, pny) | |
pnnx = ((pn.x - self.x) * cos(self.thnn) - (pn.y - self.y) * sin(self.thnn)) + pn.x | |
pnny = ((pn.x - self.x) * sin(self.thnn) + (pn.y - self.y) * cos(self.thnn)) + pn.y | |
pnn = Point(pnnx, pnny) | |
return([pn, pnn]) | |
curr = [Point(0, 0), Point(200, 0), Point(200, 200), Point(0, 200)] | |
nex = list() | |
n = 0 | |
def setup(): | |
size(500, 500) | |
noLoop() | |
fill(0) | |
textSize(16) | |
def draw(): | |
global curr, nex, n | |
if n > 5: | |
exit() | |
background(250, 250, 250) | |
text("n = {}".format(n), 25, 25) | |
translate(width / 2 - 100, height / 2 - 100) | |
for i in range(len(curr)): | |
if i == len(curr) - 1: | |
p0 = curr[i] | |
p1 = curr[0] | |
line(p0.x, p0.y, p1.x, p1.y) | |
else: | |
p0 = curr[i] | |
p1 = curr[i+1] | |
line(p0.x, p0.y, p1.x, p1.y) | |
# saveFrame("minkowski-sausage-{}.png".format(n)) | |
for i in range(len(curr)): | |
if i == len(curr) - 1: | |
p0 = curr[i] | |
p1 = curr[0] | |
nex.append(p0) | |
nex += p0.nextPoints(p1) | |
else: | |
p0 = curr[i] | |
p1 = curr[i+1] | |
nex.append(p0) | |
nex += p0.nextPoints(p1) | |
curr = nex[:] | |
nex = list() | |
n += 1 | |
noLoop() | |
def mousePressed(): | |
loop() | |
# mouseReleased() broken? | |
# def mouseReleased(): | |
# noLoop() |
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