Sierpinski's Triangle
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LiamMB59
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Posted: Sun Mar 08, 2020 8:29 pm Post subject: Sierpinski's Triangle |
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I'm new to Turing and have just started because of my computer science class (grade 10). I have about 2 months of experience. My assignment is to construct Sierpinski's Triangle using the chaos game, and I'm a bit overwhelmed. I understand you have an equilateral triangle, and you need to first place a random dot within the triangle. Then pick a random point of the triangle and place a dot on the midpoint between your dot and said random point. I know the basics to do this, I just don't really know where to start. How do I set boundaries for the first random point? I know it's 2020 and Turing is barely used but I'll take any help I can get. Thanks |
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ZetaEta
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Posted: Mon Mar 09, 2020 9:34 pm Post subject: RE:Sierpinski\'s Triangle |
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Any update? I have also been asked to do the same assignment. I do understand the concept but I'm a bit lost. If you ever figure this out, could you help me? Thank you |
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LiamMB59
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Posted: Tue Mar 10, 2020 10:03 am Post subject: Re: Sierpinski's Triangle |
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This was actually much easier than I thought:
Turing: |
setscreen ("graphics:1000;800")
var x, y : int
var randomVertex : int
randint (x, 0, maxx)
randint (y, 0, maxy)
drawdot (x, y, black)
loop
randint (randomVertex, 1, 3)
if randomVertex = 1 then
x := (x + 0) div 2
y := (y + 0) div 2
else
if randomVertex = 2 then
x := (x + maxx) div 2
y := (y + 0) div 2
else
if randomVertex = 3 then
x := (x + maxx div 2) div 2
y := (y + maxy) div 2
end if
end if
end if
drawdot (x, y, black)
end loop
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So the first random point doesn't have to be within the triangle to work. This made things way easier. You get a random integer that decides which vertex you'll use, then use if statements to decide the midpoint for each one. Very simple and very cool graphic! Also colour customization is easy. |
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ZetaEta
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Posted: Tue Mar 10, 2020 7:57 pm Post subject: Re: Sierpinski's Triangle |
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So by using such a small range for randint to pick from (1-3), you were able to predict the 3 possibilities, which is 1,2 or 3 and created if statements based of off them. Wow, this made me look at randint from a different perspective. randint may be random, but it isn't unpredictable. Thank you so much for your help and for opening my eyes  |
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TokenHerbz

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Posted: Mon Apr 13, 2020 4:59 am Post subject: RE:Sierpinski\'s Triangle |
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never steal code, make it your own. |
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