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Math Help - Squares

  1. #1
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    Squares

    Squares; the sequel to http://www.mathhelpforum.com/math-he...5-circles.html:

    Can you position all of the 16 different squares in the following 4x4 grid in accordance with the 13 statements bellow?



    #1. The spotted grey square and the spotted blue square are in the same row.
    #2. The plain yellow square is somewhere to the left of the spotted red square in the same row.
    #3. The plain grey square is one position above the spotted red square.
    #4. The plain grey square is somewhere to the left of the plain white square in the same row.
    #5. The plain blue square and the spotted grey square are in the same column.
    #6. The striped grey square and the plain green square are in the same row.
    #7. There are two spotted squares and two striped squares in the bottom row.
    #8. The spotted blue square and the spotted green square are both in the furthest left column.
    #9. The two top corners of the grid are both occupied by red squares.
    #10. The spotted yellow square is in the top row.
    #11. The striped blue square and the striped red square are immediately next to each other in the same row.
    #12. The striped yellow square is one position bellow the plain green square.
    #13. The plain yellow square and the spotted yellow square are in the same column.

    Additional comment: all the squares must occupy a position in the grid with no more then one square in any one position.
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  2. #2
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    Nobody did this .

    *Bump*
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  3. #3
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    Numbering them; plain, spotted, striped order:
    red: 1,2,3 ; blue: 4,5,6 ; green: 7,8,9 ; yellow: 10,11,12 ; grey: 13,14,15 ; white: 16

    01, 11, 06, 03
    08, 13, 16, 04
    15, 10, 07, 02
    05, 09, 12, 14
    Last edited by Wilmer; September 21st 2009 at 04:48 PM. Reason: none
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  4. #4
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    Quote Originally Posted by Wilmer View Post
    Numbering them; plain, spotted, striped order:
    red: 1,2,3 ; blue: 4,5,6 ; green: 7,8,9 ; yellow: 10,11,12 ; grey: 13,14,15 ; white: 16

    01, 11, 06, 03
    08, 13, 16, 04
    15, 10, 07, 02
    05, 09, 12, 14
    Thank you for your reply.
    The only statement that your proposed solution doesn't accord with is "#3. The plain grey square is one position above the spotted red square."
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  5. #5
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    Well, as far as I'm concerned, I have plain-grey ONE row above spotted-red,
    so that's same as ONE position above; you did NOT state "in same column".
    So my solution is correct according to your wording (or lack of it).

    The fact that you used "immediately" in this condition:
    "#11. The striped blue square and the striped red square are immediately next to each other in the same row."
    but did not use "immediately" in this condition:
    ""#3. The plain grey square is one position [immediately] above the spotted red square."
    is good enough to prove my point.
    Last edited by Wilmer; September 30th 2009 at 05:12 AM. Reason: none
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  6. #6
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    Quote Originally Posted by Wilmer View Post
    Well, as far as I'm concerned, I have plain-grey ONE row above spotted-red,
    so that's same as ONE position above; you did NOT state "in same column".
    So my solution is correct according to your wording (or lack of it).

    The fact that you used "immediately" in this condition:
    "#11. The striped blue square and the striped red square are immediately next to each other in the same row."
    but did not use "immediately" in this condition:
    ""#3. The plain grey square is one position [immediately] above the spotted red square."
    is good enough to prove my point.
    Sorry for the lack of clarity.
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  7. #7
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    Squares

    Hi! I quite enjoyed that!

    Here's an image of my solution and Excel worksheet. I hope I managed to satisfy all the statements.

    I also had a go at clarifying the wording, and my attempt is included in the image. While solving the puzzle I noticed that for statement #3 it's not necessary to be told how far the plain grey square is above the spotted red square, and so I altered the wording there.

    Attached Thumbnails Attached Thumbnails Squares-squares.png  
    Last edited by phrontister; December 8th 2009 at 04:52 AM.
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