###Snowflake###
#fianl project#
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##1st kind##
def function (segment):
x1=segment[0][0]; x2=segment[1][0]
y1=segment[0][1]; y2=segment[1][1]
l1=((2/3*x1+x2/3),(2/3*y1+y2/3))
l2=((x1/2+sqrt(3)*y1/6+x2/2-sqrt(3)*y2/6), (-sqrt(3)*x1/6+y1/2+sqrt(3)*x2/6+y2/2))
l3=((x1/3+2*x2/3),(y1/3+2*y2/3))
result=[[segment[0],l1],[l1,l2],[l2,l3],[l3,segment[1]]]
return result
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def snow(segments,k):
while k>0:
s=[]
for x in segments:
s+=function(x)
segments=s
k-=1
g=Graphics()
for cur in segments:
g+=line(cur)
return g
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snow([[(0,0),(1,0)],[(1,0),(1,1)],[(1,1),(0,1)],[(0,1),(0,0)]],4).show(axes=False,aspect_ratio=1)
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##2nd kind##
def function2 (segment):
x1=segment[0][0]; x2=segment[1][0]
y1=segment[0][1]; y2=segment[1][1]
l1=((2/3*x1+x2/3),(2/3*y1+y2/3))
l2=((x1/2-sqrt(3)*y1/6+x2/2+sqrt(3)*y2/6), (+sqrt(3)*x1/6+y1/2-sqrt(3)*x2/6+y2/2))
l3=((x1/3+2*x2/3),(y1/3+2*y2/3))
result=[[segment[0],l1],[l1,l2],[l2,l3],[l3,segment[1]]]
return result
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def snow(segments,k):
while k>0:
s=[]
for x in segments:
s+=function2(x)
segments=s
k-=1
g=Graphics()
for cur in segments:
g+=line(cur)
return g
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snow([[(0,0),(1,0)],[(1,0),(1,1)],[(1,1),(0,1)],[(0,1),(0,0)]],4).show(axes=False,aspect_ratio=1)
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