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  1. #1
    Platinum Lounger
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    A magic square in the Magic Forest

    <P ID="edit" class=small>(Edited by Jezza on 17-Feb-07 23:22. to add "and horizontals")</P>A quiet night again in the laboratory of Al Bear Einstein. Al Bear and Jezza Bear had recently connected Al's new electronic abacus to the interweb and he now had a PIP3 email box (Pigeon Internet Protocol)

    As Al Bear and Jezza were having their second cup of cocoa that evening a new email came through with this image on it:


    <IMG SRC=http://www.magicforest.co.uk/fun/magic34.gif> <big><big><big>=34</big></big></big>


    "Wow," exclaimed Al Bear "I love these things"

    Jezza Bear Scratched his head and said with an evil grin " I do too, I once made one equal 64, I bet you can't?"

    Al Bear rubbed his scruffy hair and then said "Sneaky Jezza Bear, but I bet the Woody's crowd will find it as well"

    Your challenge, create a 4 x 4 magic square where the verticals and horizontals add up to 64, the diagonals add up to 64 and the middle 4 squares add to 64
    Jerry

  2. #2
    Plutonium Lounger
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    Re: A magic square in the Magic Forest

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Add 7.5 to each of the numbers</span hide> <img src=/S/evilgrin.gif border=0 alt=evilgrin width=15 height=15>

  3. #3
    Platinum Lounger
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    Re: A magic square in the Magic Forest

    <img src=/S/yep.gif border=0 alt=yep width=15 height=15> Simple as that, I see you have been reading my new signature <img src=/S/grin.gif border=0 alt=grin width=15 height=15>

    Have a [choccy bar]
    Jerry

  4. #4
    Platinum Lounger
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    Re: A magic square in the Magic Forest

    Hi Don

    I have attached a Magic Square spoiler. The generic equation for a 4 x 4 square is to use:

    (([number to calculate]-34)/4)+1

    I will let you search for the semantics of the Magic Square structure but the excel sheet attached will assist you


    <img src=/S/whisper.gif border=0 alt=whisper width=29 height=17>Use the scroller to see the pattern progress...excuse all the formatting as it was my creative mind searching for a puzzle route
    Jerry

  5. #5
    Silver Lounger
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    Re: A magic square in the Magic Forest

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Where any given cell in your example = x, that cell i my solution = 2*x-1.</span hide>
    Regards
    Don

  6. #6
    Platinum Lounger
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    Re: A magic square in the Magic Forest

    oooh looks like Don deleted his post <img src=/S/shrug.gif border=0 alt=shrug width=39 height=15>
    Jerry

  7. #7
    Plutonium Lounger
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    Re: A magic square in the Magic Forest

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Say you have 4 numbers a, b, c, d with a+b+c+d = 34.
    Now change each of them to 2 times the original number - 1.
    (2a-1)+(2b-1)+(2c-1)+(2d-1) = 2a+2b+2c+2d-4 = 2(a+b+c+d)-4 = 2*34-4 = 64.</span hide>

  8. #8
    Silver Lounger
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    Re: A magic square in the Magic Forest

    I forgot to hide the solution before I posted it.
    Regards
    Don

  9. #9
    Plutonium Lounger
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    Re: A magic square in the Magic Forest

    For the future: you can edit one of your own posts (click the edit button <IMG SRC=http://www.wopr.com/w3timages/edit.gif>) instead of deleting it and creating a new one.

    Note: posts become locked for editing after two weeks or so. If you really need to edit an old post, contact a moderator or admin.

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