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do you know geometry?

Discussion in 'Electronic Design' started by RichD, Aug 23, 2013.

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  1. RichD

    RichD Guest

    Start with a sheet of stiff paper, and a pen.
    Draw an outline of a shape, such that when cut
    out with scissors, it will fold into a cube.
    You're permiited to draw interior folding lines.

    Everyone here will regard this as trivial. But
    I've tested it on 6 people, and only 2 got it
    the first try. Try it on your friends and business
    associates.
     
  2. Don Y

    Don Y Guest

    You can do it with a *square* piece of paper.
     
  3. Weird.. do they only do five 'pieces' a base and four sides?
     
  4. m II

    m II Guest


    My problems are the interior folding lines. When I try to draw them, I
    don't have an interior anymore. There is something Zenish going on here.

    mike
     
  5. m II

    m II Guest

    So...you're implying that it's my *unfolding* of the box that causes the
    interior to disappear...This three dimensional space of yours is
    certainly taking getting used to.


    mike
     
  6. Robert Baer

    Robert Baer Guest

    Maybe because there are so many ways it can be done?
    I thought of 2 ways in less than 2 minutes and quit because it is so
    simple.
     
  7. Robert Baer

    Robert Baer Guest

    Check.
     
  8. Don Y

    Don Y Guest

    Hi David,

    Exactly. There was no mention as to how *complex* the folding
    process was expected to be.

    (Nor any mention as to whether or not the folded paper would *hold*
    the shape of its own accord)
    Yes. I know of at least two different ways of folding a
    perfectly *square* piece of paper into a cube (without the
    benefit of scissors). I could probably come up with more
    if pressed...

    And, by extension, any rectangular piece of paper (I think all
    I need is a right angle, somewhere).

    You just have to NOT think in "pedestrian" turns. Think
    outside the box -- er, *cube*! :>
     
  9. How big is the cube going to be? Your light on design input;)

    I got a 11 x 17" piece of paper here.....

    Am I allowed to use a ruler?

    Cheers
     
  10. Jasen Betts

    Jasen Betts Guest

    there's several shapes that work

    []
    [][][][]
    []

    []
    [][][][]
    []

    []
    [][][][]
    []

    []
    [][][][]
    []

    []
    [][][][]
    []


    [][]
    [][]
    [][]


    [][][]
    [][][]

    []
    [][][]
    [][]

    possibly posibly others too...
     
  11. Jasen Betts

    Jasen Betts Guest

    I stopped looking after finding 8
     
  12. Jasen Betts

    Jasen Betts Guest

    Even if you are it won't be a perfect cube, so presumably any
    recognisable approximation is acceptable.

    If you start with an acceptably rectangular piece of paper, by folding
    it you can create a regular square grid. (fold a 45 degree angle to
    translate east-west measure to north-south)
     
  13. Jasen Betts

    Jasen Betts Guest

    When covering the surface of a cube one must think outside the box :)
     
  14. Robert Baer

    Robert Baer Guest

    OR:
    _ _
    | |
    _ _|_ _| <-- top
    | | |
    _ _|_ _|_ _| <-- front,right
    | | |
    |_ _|_ _| <-- left,bottom
    | |
    |_ _| <-- back

    This gets rid of the boring 4-in-a-row design.
     
  15. Robert Baer

    Robert Baer Guest

    Here is a collection of some of those given:


    1A 1B 2A 2B
    _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
    | | | | | | | | | | | |
    |_ _|_ _|_ _| _ _|_ _|_ _ |_ _|_ _|_ _ |_ _|_ _|
    | | | | | | | | | | |
    |_ _| |_ _|_ _|_ _| |_ _|_ _| |_ _|_ _
    | | | | | | | | |
    |_ _| |_ _| |_ _| |_ _|_ _|
    | | | | | | | |
    |_ _| |_ _| |_ _| |_ _|


    2C 3 var A var B
    _ _ _ _ _ _ _ _ _ _
    | | | | | | | | |
    |_ _|_ _| |_ _|_ _ _ _|_ _| |_ _|_ _
    | | | | | | | | | | |
    |_ _| _ _|_ _|_ _| _ _|_ _|_ _| |_ _|_ _|_ _
    | | | | | | | | | | |
    |_ _|_ _ |_ _|_ _| |_ _|_ _| |_ _|_ _|
    | | | | | | | | |
    |_ _|_ _| |_ _| |_ _| |_ _|

    var C
    _ _
    | |
    |_ _|
    | |
    _ _|_ _|
    | | |
    |_ _|_ _|
    | |
    |_ _|
    | |
    |_ _|
     
  16. Jasen Betts

    Jasen Betts Guest


    I just thought up some more...
    _ _ _ _ _ _
    | | | | |
    |_ _|_ _| |_ _|
    | | | |
    |_ _|_ _ _ _|_ _|_ _
    | | | | | | |
    |_ _|_ _| |_ _|_ _|_ _|
    | | | |
    |_ _| |_ _|

    Having one tile different to "1B" and "2B" or "Var A" or "Var C"
    I can's see how to classify them

    That makes 11, I can't as yet complete the dozen, if that's possible.
     

  17. Maybe you should learn to read. I did not see where it was him making
    that remark.
     

  18. Maybe you should learn to read. I did not see where it was him making
    that remark.
     
  19. m II

    m II Guest


    Mister Baer, please report to the Accounting office NOW!


    mike
     
  20. Robert Baer

    Robert Baer Guest

    Yep!
    How about a strip of paper of uniform width (== box size)?
    Use 45 degree fold after front, top, back, bottom are made - to allow
    sides. Nothing was said about doing a surface twice..
     
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