Wierd Triangle

tuemmykidstuemmykids Join Date: 2003-09-15 Member: 20884Members
in Off-Topic
<div class="IPBDescription">I don't get it...</div> I was just looking at files on my computer when I found this picture:

<img src='http://img97.exs.cx/img97/4684/trigrid.gif' border='0' alt='user posted image' />

I don't get it. How is that supposed to be? I tried it myself, and it really is like that. There must be some logical explanation for this, but I'm just too stupid to figure it out <!--emo&???--><img src='http://www.unknownworlds.com/forums/html//emoticons/confused-fix.gif' border='0' style='vertical-align:middle' alt='confused-fix.gif' /><!--endemo-->. I mean, if the same shapes are used again, it should cover the same area, but somehow it doesn't seem to. Oh well, I hope you can help me, it's bugging the hell out of me.
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Comments

  • GwahirGwahir Join Date: 2002-04-24 Member: 513Members, Constellation
    take a look at the edges of the sub-triangles and tell me what you see
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  • BobTheJanitorBobTheJanitor Join Date: 2003-12-10 Member: 24228Members, NS1 Playtester
    Basically, that top line isn't perfectly straight. In the first picture it bows down in the middle and up at the ends. So in the second, it's instead bowing up in the middle and down at the ends. The slight bits of extra squares that are not covered are added up to make one whole 'missing piece' in the second pic. The piece is 'missing' in the first picture too, but simply spread out across little slices of the top line.
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  • tuemmykidstuemmykids Join Date: 2003-09-15 Member: 20884Members
    Alright, I guess you're right. I did the math:

    <img src='http://img18.exs.cx/img18/4859/trigrid2.jpg' border='0' alt='user posted image' />

    I didn't know that so few degrees can make such a difference!
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  • RueRue Join Date: 2002-10-21 Member: 1564Members
    hax.
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  • coilcoil Amateur pirate. Professional monkey. All pance. Join Date: 2002-04-12 Member: 424Members, NS1 Playtester, Contributor
    <!--QuoteBegin-tuemmykids+Oct 29 2004, 12:48 PM--></div><table border='0' align='center' width='95%' cellpadding='3' cellspacing='1'><tr><td><b>QUOTE</b> (tuemmykids @ Oct 29 2004, 12:48 PM)</td></tr><tr><td id='QUOTE'><!--QuoteEBegin--> Alright, I guess you're right. I did the math:

    <img>

    I didn't know that so few degrees can make such a difference! <!--QuoteEnd--> </td></tr></table><div class='postcolor'> <!--QuoteEEnd-->
    The lower "triangle" is 5 squares tall and 13 wide, so if it were a true right triangle its total area (including the missing piece) would be 5x13x0.5 = 32.5 squares. The missing square therefore accounts for 1/32.5 of the total area, or just under 3.1% -- it's not much!
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  • TheWizardTheWizard Join Date: 2002-12-11 Member: 10553Members, Constellation
    edited October 2004
    I'd add some math but I think I have been math-banned <!--emo&:(--><img src='http://www.unknownworlds.com/forums/html//emoticons/sad-fix.gif' border='0' style='vertical-align:middle' alt='sad-fix.gif' /><!--endemo-->

    <!--QuoteBegin--></div><table border='0' align='center' width='95%' cellpadding='3' cellspacing='1'><tr><td><b>QUOTE</b> </td></tr><tr><td id='QUOTE'><!--QuoteEBegin-->rob6264 Posted: Oct 28 2004, 03:10 PM?
    Ending the Shannanogens with a Lock!
    <!--QuoteEnd--></td></tr></table><div class='postcolor'><!--QuoteEEnd-->

    Its hard work to reach the Shannanogens level.
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  • BobTheJanitorBobTheJanitor Join Date: 2003-12-10 Member: 24228Members, NS1 Playtester
    <!--QuoteBegin-wizard@psu+Oct 29 2004, 01:27 PM--></div><table border='0' align='center' width='95%' cellpadding='3' cellspacing='1'><tr><td><b>QUOTE</b> (wizard@psu @ Oct 29 2004, 01:27 PM)</td></tr><tr><td id='QUOTE'><!--QuoteEBegin--> I'd add some math but I think I have been math-banned <!--emo&:(--><img src='http://www.unknownworlds.com/forums/html//emoticons/sad-fix.gif' border='0' style='vertical-align:middle' alt='sad-fix.gif' /><!--endemo-->

    <!--QuoteBegin--></div><table border='0' align='center' width='95%' cellpadding='3' cellspacing='1'><tr><td><b>QUOTE</b> </td></tr><tr><td id='QUOTE'><!--QuoteEBegin-->rob6264 Posted: Oct 28 2004, 03:10 PM?
    Ending the Shannanogens with a Lock!
    <!--QuoteEnd--></td></tr></table><div class='postcolor'><!--QuoteEEnd-->

    Its hard work to reach the Shannanogens level. <!--QuoteEnd--> </td></tr></table><div class='postcolor'> <!--QuoteEEnd-->
    Did you just quote a post from some other thread? <!--emo&???--><img src='http://www.unknownworlds.com/forums/html//emoticons/confused-fix.gif' border='0' style='vertical-align:middle' alt='confused-fix.gif' /><!--endemo-->
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  • That_Annoying_KidThat_Annoying_Kid Sire of Titles Join Date: 2003-03-01 Member: 14175Members, Constellation
    yes bob, I think he did

    wizard is sharp at math, he is a dilbert, err engineer

    back on topic!

    those triangles didn't make sense to me, however the slight change in angle is what gives the extra space correct?
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  • ZaphodZaphod Join Date: 2003-12-30 Member: 24882Members
    Rise over run kids, no need to wip out the protractors.
    The blue has a slope of 2/5 while the red one has a slope of 3/7
    2/5 != 3/7. The end. The slope is not uniform.
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  • TheWizardTheWizard Join Date: 2002-12-11 Member: 10553Members, Constellation
    I would have to say that this optical illusion is one of my favorites.

    It really gets you because you assume that the shapes in the triangles are the same and that just a simple rearrangement would cause the missing square. It is deceptive at the same time that it is an illusion.


    Devious.
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  • tuemmykidstuemmykids Join Date: 2003-09-15 Member: 20884Members
    <!--QuoteBegin-Zaphod+Oct 29 2004, 01:38 PM--></div><table border='0' align='center' width='95%' cellpadding='3' cellspacing='1'><tr><td><b>QUOTE</b> (Zaphod @ Oct 29 2004, 01:38 PM)</td></tr><tr><td id='QUOTE'><!--QuoteEBegin--> Rise over run kids, no need to wip out the protractors.
    The blue has a slope of 2/5 while the red one has a slope of 3/7
    2/5 != 3/7. The end. The slope is not uniform. <!--QuoteEnd--> </td></tr></table><div class='postcolor'> <!--QuoteEEnd-->
    Actually it's 2/5 != 3/8. But it doesn't make a difference.
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  • AlienCowAlienCow Join Date: 2003-09-20 Member: 21040Members
    Dude, 8:30pm in the morning is too early to be looking at this kind of thing. Its blatent hax.
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  • ZaphodZaphod Join Date: 2003-12-30 Member: 24882Members
    <!--QuoteBegin-tuemmykids+Oct 29 2004, 01:56 PM--></div><table border='0' align='center' width='95%' cellpadding='3' cellspacing='1'><tr><td><b>QUOTE</b> (tuemmykids @ Oct 29 2004, 01:56 PM)</td></tr><tr><td id='QUOTE'><!--QuoteEBegin--><!--QuoteBegin-Zaphod+Oct 29 2004, 01:38 PM--></div><table border='0' align='center' width='95%' cellpadding='3' cellspacing='1'><tr><td><b>QUOTE</b> (Zaphod @ Oct 29 2004, 01:38 PM)</td></tr><tr><td id='QUOTE'><!--QuoteEBegin--> Rise over run kids, no need to wip out the protractors.
    The blue has a slope of 2/5 while the red one has a slope of 3/7
    2/5 != 3/7. The end. The slope is not uniform. <!--QuoteEnd--></td></tr></table><div class='postcolor'><!--QuoteEEnd-->
    Actually it's 2/5 != 3/8. But it doesn't make a difference.<!--QuoteEnd--></td></tr></table><div class='postcolor'><!--QuoteEEnd-->
    Hehe, so I can't count <!--emo&:)--><img src='http://www.unknownworlds.com/forums/html//emoticons/smile-fix.gif' border='0' style='vertical-align:middle' alt='smile-fix.gif' /><!--endemo-->
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