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Topic: Space (Read 720 times) |
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alien2
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Without causing damage to it or folding it, how could a square picture with a side 50cm, fit in a cubic box with a side 25cm? 
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| « Last Edit: Oct 27th, 2006, 5:54am by alien2 » |
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sofeffi
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Re: Space
« Reply #1 on: Oct 24th, 2006, 11:02am » |
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pythagoras isn't helping me much 
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sofeffi
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Re: Space
« Reply #2 on: Oct 24th, 2006, 11:02am » |
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Is thsi anything to do with thinking outside the box?
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cchris
Senior Riddler
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Re: Space
« Reply #4 on: Oct 25th, 2006, 4:40pm » |
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If only one side is 25 x 25, then it shouldn't be much of a problem. You see, the box is still cubic (meaning it has a volume).
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TheNumberScott
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Re: Space
« Reply #5 on: Oct 26th, 2006, 2:19pm » |
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roll the picture as tightly as possible into a stick that is 50cm long. Then put on end into one of the bottom corners, and put the other end into the opposite top corner.
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towr
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Re: Space
« Reply #6 on: Oct 26th, 2006, 2:53pm » |
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on Oct 26th, 2006, 2:19pm, TheNumberScott wrote:| roll the picture as tightly as possible into a stick that is 50cm long. Then put on end into one of the bottom corners, and put the other end into the opposite top corner. |
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from one end to another is only about 43 cm, so there's still not enough room even if you roll it into a line.
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TheNumberScott
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Re: Space
« Reply #7 on: Oct 26th, 2006, 3:14pm » |
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are you sure? I must have done some whack calculations then because I got 49.99cm
wait, I see my problem. Once I found the first hypotneuse, I thought that it would be another 45-45-90 triangle.
I hope that the riddle didn't make the same mistake I did, because it came out so perfect, I figured it had to be right.
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| « Last Edit: Oct 26th, 2006, 3:18pm by TheNumberScott » |
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There once was a man who hurt his shins. So he went to the doctor to get some help, and they gave him shins of rebar!
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Icarus
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Re: Space
« Reply #8 on: Oct 26th, 2006, 4:12pm » |
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The 3-d pythagorean theorem is d2 = x2 + y2 + z2. More generally, the n-dimensional pythagorean theorem is d2 = x12 + x22 + ... + xn2.
In this case, the distance along the diagonal is sqrt(252 + 252 + 252) = 25 sqrt(3) = 43.30...
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| « Last Edit: Oct 26th, 2006, 4:13pm by Icarus » |
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"Pi goes on and on and on ...
And e is just as cursed.
I wonder: Which is larger
When their digits are reversed? " - Anonymous
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alien2
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Re: Space
« Reply #9 on: Oct 27th, 2006, 5:24am » |
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No to all guesses.
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Grimbal
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Re: Space
« Reply #10 on: Oct 31st, 2006, 1:46am » |
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on Oct 24th, 2006, 10:51am, Iceman wrote:| Without causing damage to it or folding it, how could a square picture with a side 50cm, fit in a cubic box with a side 25cm? |
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Without causing damage to or folding the box? 
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Miles
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Re: Space
« Reply #11 on: Oct 31st, 2006, 4:01am » |
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So putting it together...
Roll up the picture, then squash the box a bit. If you get it to lean more than 30 degrees, the longest diagonal exceeds 50cm and you can put the picture in.
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Desert Lizard
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Re: Space
« Reply #12 on: Oct 31st, 2006, 5:48am » |
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What if I open both ends of the box and hold it up with the picture behind it at just the right distance so I am looking through the box at the picture?
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Grimbal
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Re: Space
« Reply #13 on: Oct 31st, 2006, 6:07am » |
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on Oct 24th, 2006, 10:51am, Iceman wrote:| Without causing damage to it or folding it, how could a square picture with a side 50cm, fit in a cubic box with a side 25cm? |
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Leonardo's Mona Lisa, maybe 1m on a side could fit in my digital camera, maybe 10 cm on its longest side. So what is the problem?
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cchris
Senior Riddler
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Re: Space
« Reply #14 on: Oct 31st, 2006, 11:09am » |
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Ah, duh. If the cubic box is a camera, it's not hard to do.
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Whiskey Tango Foxtrot
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Re: Space
« Reply #15 on: Oct 31st, 2006, 1:27pm » |
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Again, great solution, cchris. Let's just hope holes are allowed.
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| « Last Edit: Oct 31st, 2006, 1:27pm by Whiskey Tango Foxtrot » |
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cchris
Senior Riddler
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Re: Space
« Reply #16 on: Oct 31st, 2006, 9:28pm » |
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For the note, it wasn't my solution, I credit it completely to Grimbal, the usual solver of such riddles.
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Whiskey Tango Foxtrot
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Re: Space
« Reply #17 on: Oct 31st, 2006, 10:03pm » |
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Whoops, sorry Grimbal. No disrespect intended, just don't know how to read above the last post.
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"I do not feel obliged to believe that the same God who has endowed us with sense, reason, and intellect has intended us to forgo their use." - Galileo Galilei
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alien2
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Re: Space
« Reply #18 on: Nov 1st, 2006, 2:39am » |
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on Oct 31st, 2006, 1:46am, Grimbal wrote:
Without causing damage to or folding the box? |
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Fine try, but you shouldn't damage or fold both items.
on Oct 31st, 2006, 6:07am, Grimbal wrote:
Leonardo's Mona Lisa, maybe 1m on a side could fit in my digital camera, maybe 10 cm on its longest side. So what is the problem? |
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A good idea, but I don't think this item looks exactly like a cubic box. 
Desert Lizard and Miles: you are not allowed to manipulate the box like that. And note that just one plane surface is missing.
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towr
wu::riddles Moderator
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Re: Space
« Reply #19 on: Nov 1st, 2006, 4:03am » |
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Take the jigsaw puzzle apart and put it in the box in pieces. There's no damage as it it was allready cut into jigsaw pieces.
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alien2
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Re: Space
« Reply #20 on: Nov 3rd, 2006, 5:22am » |
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You got it towr.
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Icarus
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Re: Space
« Reply #21 on: Nov 3rd, 2006, 7:11pm » |
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I know how to restore Pluto to its rightful place: Lets just nuke any other Kuiper belt object bigger than Charon, other than our proud snowball!
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"Pi goes on and on and on ...
And e is just as cursed.
I wonder: Which is larger
When their digits are reversed? " - Anonymous
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