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PifagorTree.py
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PifagorTree.py
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from turtle import *
t = Turtle()
h = Turtle()
t.speed(0)
n = 90
sqrt = 1.414213562373095
mainstep = 11
colorstep = 1 / mainstep
def square(length, x, y, deg, step):
if deg == 360:
deg = 0
elif deg < 0:
deg += 360
t.penup()
t.goto(x, y)
h.penup()
# h.goto(x, y)
# t.dot(5, 'red')
if step == 0:
return
if deg == 0:
x1 = length / 2 + x
y1 = length / 2 + y
x2 = x1
y2 = y1 - length
x3 = x2 - length
y3 = y2
x4 = x3
y4 = y3 + length
xnew1 = x4
ynew1 = y4 + length / 2
xnew2 = x1
ynew2 = y1 + length / 2
elif deg == 90:
x4 = x - length / 2
y4 = y - length / 2
x2 = x + length / 2
y2 = y + length / 2
x1 = x2 - length
y1 = y4 + length
x3 = x4 + length
y3 = y2 - length
xnew1 = x4 - length / 2
ynew1 = y4
xnew2 = x1 - length / 2
ynew2 = y1
elif deg == 180:
x3 = length / 2 + x
y3 = length / 2 + y
x4 = x3
y4 = y3 - length
x1 = x4 - length
y1 = y4
x2 = x1
y2 = y1 + length
xnew1 = x4
ynew1 = y4 - length / 2
xnew2 = x1
ynew2 = y1 - length / 2
elif deg == 270:
x2 = x - length / 2
y2 = y - length / 2
x3 = x2
y3 = y2 + length
x4 = x3 + length
y4 = y3
x1 = x4
y1 = y4 - length
xnew1 = x4 + length / 2
ynew1 = y4
xnew2 = x1 + length / 2
ynew2 = y1
elif deg == 45:
x1 = x
y1 = y + length / sqrt
x2 = x + length / sqrt
y2 = y
x3 = x
y3 = y - length / sqrt
x4 = x - length / sqrt
y4 = y
xnew1 = x4 - (length / sqrt) / 2
ynew1 = y4 + (length / sqrt) / 2
xnew2 = x1 - (length / sqrt) / 2
ynew2 = y1 + (length / sqrt) / 2
elif deg == 135:
x3 = x + length / sqrt
y3 = y
x4 = x
y4 = y - length / sqrt
x1 = x - length / sqrt
y1 = y
x2 = x
y2 = y + length / sqrt
xnew1 = x4 - (length / sqrt) / 2
ynew1 = y4 - (length / sqrt) / 2
xnew2 = x1 - (length / sqrt) / 2
ynew2 = y1 - (length / sqrt) / 2
elif deg == 225:
x3 = x
y3 = y + length / sqrt
x4 = x + length / sqrt
y4 = y
x1 = x
y1 = y - length / sqrt
x2 = x - length / sqrt
y2 = y
xnew1 = x4 + (length / sqrt) / 2
ynew1 = y4 - (length / sqrt) / 2
xnew2 = x1 + (length / sqrt) / 2
ynew2 = y1 - (length / sqrt) / 2
elif deg == 315:
x2 = x
y2 = y - length / sqrt
x3 = x - length / sqrt
y3 = y
x4 = x
y4 = y + length / sqrt
x1 = x + length / sqrt
y1 = y
xnew1 = x4 + (length / sqrt) / 2
ynew1 = y4 + (length / sqrt) / 2
xnew2 = x1 + (length / sqrt) / 2
ynew2 = y1 + (length / sqrt) / 2
# r = colorstep*(mainstep-step)
r = colorstep*step
# b = colorstep*(mainstep-step)
# b = colorstep*step
b=0
g = colorstep*(mainstep-step)
# g = colorstep*step
color = (r, g, b)
t.color(color)
h.color(color)
t.begin_fill()
h.begin_fill()
t.goto(x1, y1)
h.goto(-x1, y1)
t.pendown()
h.pendown()
t.goto(x2, y2)
h.goto(-x2, y2)
t.goto(x3, y3)
h.goto(-x3, y3)
t.goto(x4, y4)
h.goto(-x4, y4)
t.goto(x1, y1)
h.goto(-x1, y1)
t.end_fill()
h.end_fill()
square(length / sqrt, xnew2, ynew2, deg - 45, step - 1)
square(length / sqrt, xnew1, ynew1, deg + 45, step - 1)
t.penup()
# t.goto(0, 200)
t.pendown()
square(100, 0, -250, 0, mainstep)
done()