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  1. #1
    Platinum Lounger
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    Ring, ring, ring

    Three rings are "joined" together, if you look very carefully though, each one is not linked directly with another.

    Red is behind yellow.
    Yellow is behind blue.
    Blue is behind red.

    Note that if you look carefully none of them are intertwined, but you can't pull them apart

    Is this possible and can this be built?
    Jerry

  2. #2
    Plutonium Lounger
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    Re: Ring, ring, ring

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">If the rings are perfectly "flat" and rigid, it is impossible. You could use rings made of thin coloured paper; you'd put (for example) the red ring over the blue one, then weave the not yet closed yellow one through the red and blue ones, and finally close it (with glue or tape)</span hide>

  3. #3
    Platinum Lounger
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    Re: Ring, ring, ring

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">I agree with your answer. I saw this on another site but the puzzler never posted an answer. I was just wondering what the general view here in the Lounge was.</span hide>
    Jerry

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    WS Lounge VIP sdckapr's Avatar
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    Re: Ring, ring, ring

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">It could be built with flat rigid rings, if they had notches in them in the appropriate spots of overlap.</span hide>

    Steve

  5. #5
    Platinum Lounger
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    Re: Ring, ring, ring

    <img src=/S/devil.gif border=0 alt=devil width=15 height=15><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold"> ...but I don't see any notches in my "flat" rings in the image I produced,dimensionly speaking that is?</span hide>
    Jerry

  6. #6
    WS Lounge VIP sdckapr's Avatar
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    Re: Ring, ring, ring

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">If they are really "flat" and only 2-dimensional then the notches are apparent...</span hide>

    Steve

  7. #7
    Platinum Lounger
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    Re: Ring, ring, ring

    ....but here is something someone could explain to me.

    In a 2D world a shape has only height (y) and width(x) but no breadth (z where z=0). Therefore can a 2D shape lay on top of another 2D shape as they have no breadth and therefore not breaking the rules of that world?

    If I had two 2D creatures in this 2D world they could co-exist but never be aware of each other as they could not see each other in the plane however could the pass each other by going "over" each other.

    If the answer is true for both of these could therefore say that notches are not required in my rings....
    Jerry

  8. #8
    WS Lounge VIP sdckapr's Avatar
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    Re: Ring, ring, ring

    In a 2-d world they can not lay on top. Therefore the picture you show means that the rings are not "rings" but are segments of 2 parts of a ring for each: a larger part and a smaller part. Where they "overlap" means there is actually a break in the ring.

    Steve

  9. #9
    Plutonium Lounger Leif's Avatar
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    Re: Ring, ring, ring

    Something which no-one else seems to have considered is the fourth dimension, time.

    From your original post, if we add time, we get:

    Red is placed behind yellow.
    and then
    Yellow is placed behind blue.
    and then
    Blue is placed behind red.

    If you could add to the end of that
    and then go back to the beginning
    it may be possible, but I'm not aware of any method of bending time to that extent.

    Perhaps it may be feasible using a VBA loop, some bent coloured lolly sticks, and a DeLorean?

  10. #10
    Platinum Lounger
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    Re: Ring, ring, ring

    Yeeess, I think I see your thinking <img src=/S/hmmn.gif border=0 alt=hmmn width=15 height=15> lolly pop sticks, that could be it, yes.

    >and a DeLorean

    As an aside, in the original script for the film they were going to use a fridge for the time travelling machine but it got pulled as they thought children may climb into them pretend to go back in time!!!!
    Jerry

  11. #11
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    Re: Ring, ring, ring

    So I think we agree, this is impossible in a 2D world as the shapes are not rings but segments, but we can have it in a 3D world.....

    ...or a 4D world if we have lolly pop sticks and a Delorian <img src=/S/grin.gif border=0 alt=grin width=15 height=15>
    Jerry

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