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Math Help - Application of Isometries

  1. #1
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    Application of Isometries

    I made the following realization which I find absolutely elegant.

    Say you have a book lying face up on a table. You take the book and throw it up and it lands face up in a new position on that table.

    I claim the following supprising statement.

    "We can either rotate the book around some point on the table or slide the book along the surface so that it ends up in the same position after it has been thrown".

    See if you can explain this phenomena.
    ---
    It reminds me of the Brouwer Fixed Point. His application is very supprising. Basically if you have two identical sheets one on top of another. You take the top sheet crumble it any way and place it on top the bottom sheet. There is a common point shared to both. But this is something totally different.
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  2. #2
    Bar0n janvdl's Avatar
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    Quote Originally Posted by ThePerfectHacker View Post
    I made the following realization which I find absolutely elegant.

    Say you have a book lying face up on a table. You take the book and throw it up and it lands face up in a new position on that table.

    I claim the following supprising statement.

    "We can either rotate the book around some point on the table or slide the book along the surface so that it ends up in the same position after it has been thrown".

    See if you can explain this phenomena.
    ---
    It reminds me of the Brouwer Fixed Point. His application is very supprising. Basically if you have two identical sheets one on top of another. You take the top sheet crumble it any way and place it on top the bottom sheet. There is a common point shared to both. But this is something totally different.
    Could you please explain how we can use information like this? Its all very interesting, but it doesnt really seem like something practical...
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    Quote Originally Posted by janvdl View Post
    Its all very interesting, but it doesnt really seem like something practical...
    Stop it! Stop it! Stop it! I hate it when people start saying such stuff: "...practical...". Enough!

    For the same reason why do people look at The Last Supper? It also is not practical. And for the same reason why do people read War and Peace? It also is not practical and neither makes you smarter!
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    Bar0n janvdl's Avatar
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    Quote Originally Posted by ThePerfectHacker View Post
    Stop it! Stop it! Stop it! I hate it when people start saying such stuff: "...practical...". Enough!

    For the same reason why do people look at The Last Supper? It also is not practical. And for the same reason why do people read War and Peace? It also is not practical and neither makes you smarter!
    Oh for goodness' sake i asked a simple question... I think different than you do ok?
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  5. #5
    Senior Member OReilly's Avatar
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    Quote Originally Posted by ThePerfectHacker View Post
    Stop it! Stop it! Stop it! I hate it when people start saying such stuff: "...practical...". Enough!

    For the same reason why do people look at The Last Supper? It also is not practical. And for the same reason why do people read War and Peace? It also is not practical and neither makes you smarter!

    Then we shouldn't do math also!?

    Just joking, don't take it seriosly.
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  6. #6
    Super Member Rebesques's Avatar
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    Its all very interesting, but it doesnt really seem like something practical...
    Story of my life. So, where did all this talk get to?
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