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categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
7. Fractals are fun at every level. (Draw the Koch snowflake)
The Koch snowflake is one of the earliest fractals to have been
described. The snowflake has a finite area bounded by an
infinitely long line. It can be constructed as follows, starting with
an equilateral triangle and doing the following for each side:
1. divide the line segment into three segments of equal length.
2. draw an equilateral triangle pointing outward that has the middle
segment from step 1 as its base.
3. remove the line segment that is the base of the triangle from step 2.
ICA(1).pdf
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The recipe for a level n Koch Snowflake:
{this is a comment}
{draw a triangle with fancy sides}
do 3 times:
f(n):
60
do f(n)
turn left 120 degrees
{draw a fancy side}
if n = 0:
else:
drive forward 1 unit
{draw (from right to left}}
do f(n-1)
turn right 60 degrees
do f(n-1)
turn left 120 degrees
do f(n-1)
turn right 60 degrees
do f(n-1)
40F
20
at
F
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