Results 1 to 7 of 7
  1. #1
    Silver Lounger
    Join Date
    Mar 2001
    Location
    Dallas, Texas, USA
    Posts
    1,680
    Thanks
    0
    Thanked 1 Time in 1 Post

    Re: Shapes & Numbers

    A spreadsheet is attached that may make solving <!post=this puzzle,642003>this puzzle<!/post> easier...
    Attached Files Attached Files
    - Ricky

  2. #2
    Silver Lounger
    Join Date
    Mar 2001
    Location
    Dallas, Texas, USA
    Posts
    1,680
    Thanks
    0
    Thanked 1 Time in 1 Post

    Shapes & Numbers

    Can you divide this large square into four identical shapes, each composed of sixteen squares, and each containing four different numbers? To assist in solving, I've included the Excel edition <!post=here,642004>here<!/post>.
    Attached Images Attached Images
    - Ricky

  3. #3
    Silver Lounger
    Join Date
    Mar 2001
    Location
    Dallas, Texas, USA
    Posts
    1,680
    Thanks
    0
    Thanked 1 Time in 1 Post

    Re: Shapes & Numbers

    The final and correct solution is attached.
    <img src=/S/cheers.gif border=0 alt=cheers width=30 height=16>
    Attached Files Attached Files
    - Ricky

  4. #4
    Plutonium Lounger
    Join Date
    Nov 2001
    Posts
    10,550
    Thanks
    0
    Thanked 7 Times in 7 Posts

    Re: Shapes & Numbers

    That was a bit too tricksy for me. Nice puzzle though.

    StuartR

  5. #5
    Plutonium Lounger
    Join Date
    Mar 2002
    Posts
    84,353
    Thanks
    0
    Thanked 29 Times in 29 Posts

    Re: Shapes & Numbers

    Thanks. Do you have some kind of algorithm for solving such a puzzle (other than endless trial and error)?

  6. #6
    Silver Lounger
    Join Date
    Mar 2001
    Location
    Dallas, Texas, USA
    Posts
    1,680
    Thanks
    0
    Thanked 1 Time in 1 Post

    Re: Shapes & Numbers

    No tricks, no algorithms. A bit of trial & error is needed but you would begin by drawing lines between identical numerals (knowing that they belonged in different segments. Also helpful, is knowing that the resulting shapes are the same size (and of the same "shape"). Symmetry certainly enters the equation.

    <img src=/S/cheers.gif border=0 alt=cheers width=30 height=16>
    - Ricky

  7. #7
    Plutonium Lounger
    Join Date
    Mar 2002
    Posts
    84,353
    Thanks
    0
    Thanked 29 Times in 29 Posts

    Re: Shapes & Numbers

    Yes, assuming that the shapes can be obtained from each other by rotating over 90 degrees round the center of the square (which is not a priori true) helps.

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •