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Icetuete
Black Belt
Joined: 17 May 2003
Posts: 1025
Location: Germany
Styles: ITF Taekwondo
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 Posted: Mon Jun 23, 2003 8:32 am Post subject: Now how is THAT possible?? |
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look at that
now where did the missing square go?? |
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Icetuete
Black Belt
Joined: 17 May 2003
Posts: 1025
Location: Germany
Styles: ITF Taekwondo
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| Posted: Mon Jun 23, 2003 8:34 am Post subject: |
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dont mind the german sentences on the right. it justs says that these 4 pieces are put in two different orders. below it says "where did the missing square go?"
have fun 
Last edited by Icetuete on Tue Jun 24, 2003 9:38 am; edited 1 time in total |
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ZR440
Black Belt
Joined: 04 Nov 2001
Posts: 1597
Location: Michigan
Styles: Filipino
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| Posted: Tue Jun 24, 2003 8:24 am Post subject: |
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It didn't go anywhere. The area is the same for both.
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It's happy hour somewhere in the world. |
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Icetuete
Black Belt
Joined: 17 May 2003
Posts: 1025
Location: Germany
Styles: ITF Taekwondo
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| Posted: Tue Jun 24, 2003 9:38 am Post subject: |
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| that is the point of this riddle. it IS the same area and at the same time it is not. or is it? who knows |
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ZR440
Black Belt
Joined: 04 Nov 2001
Posts: 1597
Location: Michigan
Styles: Filipino
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| Posted: Tue Jun 24, 2003 9:59 am Post subject: |
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By rearranging the individual sections, it slightly changes the overall shape, but the combined area remains the same.
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It's happy hour somewhere in the world. |
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capn_midnight
Yellow Belt
Joined: 08 May 2002
Posts: 81
Location: Pennsylvania, USA
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| Posted: Tue Jun 24, 2003 12:51 pm Post subject: |
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the pieces still take the same area. The point is, the configuration is irrelevant.
This is similar to the Riddle of the Missing Dollar.
Three guests decide to stay the night at a lodge whose rate they are initially told is $30 per night. However, after the guests have each paid $10 and gone to their room, the proprietor discovers that the correct rate should actually be $25. As a result, he gives the bellboy the $5 that was overpaid, together with instructions to return it to the guests. Upon consideration of the fact that $5 will be problematic to split three ways, the bellboy decides to pocket $2 and return $1 each, or a total of $3, to the guests. Upon doing so, the guests have now each paid a total of $9 for the room, for a total of $27, and the bellboy has retained $2. So where has the remaining $1 from the initial $30 paid by the guests gone?!
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Arguing with an engineer is like mud wrestling a pig. After a few hours, you realize they both like it. |
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Icetuete
Black Belt
Joined: 17 May 2003
Posts: 1025
Location: Germany
Styles: ITF Taekwondo
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| Posted: Tue Jun 24, 2003 1:27 pm Post subject: |
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| Quote: |
| y rearranging the individual sections, it slightly changes the overall shape, but the combined area remains the same. |
i am not sure whether i did get u right... the rearranging does NOT change the shape. it cant because for the same reason that makes the combined area stay the same: the sum of the squares dont change in these 2 arrangements. |
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Icetuete
Black Belt
Joined: 17 May 2003
Posts: 1025
Location: Germany
Styles: ITF Taekwondo
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| Posted: Tue Jun 24, 2003 1:29 pm Post subject: |
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| the pieces still take the same area. The point is, the configuration is irrelevant. |
yes indeed - so how can it be possible that suddenly one square is missing? |
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Icetuete
Black Belt
Joined: 17 May 2003
Posts: 1025
Location: Germany
Styles: ITF Taekwondo
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| Posted: Tue Jun 24, 2003 1:30 pm Post subject: |
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| and btw: i like ur missing dollar riddle. its rather old, but a real good one! |
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ZR440
Black Belt
Joined: 04 Nov 2001
Posts: 1597
Location: Michigan
Styles: Filipino
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| Posted: Tue Jun 24, 2003 2:22 pm Post subject: |
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What I meant to say is that the only possible explanation for losing or gaining area in this example would be for one or both of the hypotenuse being concave or convex, because if you match a grid square against another corresponding grid square, they look different. It's some kind of illusion.
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on the post.
