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Posers and Puzzles

Posers and Puzzles

  1. 14 Sep '04 19:54
    the king has a set of perfectly sphirical cristal balls, which he keeps in a chest which is a perfect rectangular prism on the inside. when one shakes the chest, nothing jiggels. if you take some of the balls out and rearange the balls, then still nothing jiggels. this can be done again, and again, and then once more. if each ball is 1 inch in diamiter, then what is the smallest # of balls and the smallest dimensions for the box possible?
  2. Standard member Cheshire Cat
    Sparky
    14 Sep '04 21:06
    Originally posted by fearlessleader
    the king has a set of perfectly sphirical cristal balls, which he keeps in a chest which is a perfect rectangular prism on the inside. when one shakes the chest, nothing jiggels. if you take some of the balls out and rearange the balls, then still nothing jiggels. this can be done again, and again, and then once more. if each ball is 1 inch in diamiter, then what is the smallest # of balls and the smallest dimensions for the box possible?
    Smallest dimension of the box? or of the inside of the box?

    ~ Cheshire Cat
  3. 15 Sep '04 19:04
    Originally posted by Cheshire Cat
    Smallest dimension of the box? or of the inside of the box?

    ~ Cheshire Cat
    the smallest possibel demensions (all three) of the inside of the box.
  4. 15 Sep '04 22:16
    1 x 1 x 2 working on the premise that one can include the balls taken out when rearranging them in the box.
  5. 15 Sep '04 23:07
    Originally posted by fearlessleader
    the king has a set of perfectly sphirical cristal balls, which he keeps in a chest which is a perfect rectangular prism on the inside. when one shakes the chest, nothing jiggels. if you take some of the balls out and rearange the balls, then still nothing jiggels. this can be done again, and again, and then once more. if each ball is 1 inch in diamiter, then what is the smallest # of balls and the smallest dimensions for the box possible?
    Are the balls distinct, ie can a triangle of three touching balls be arranged in 2 (mirror image) ways?
  6. Donation Acolyte
    Now With Added BA
    16 Sep '04 10:02
    Originally posted by iamatiger
    Are the balls distinct, ie can a triangle of three touching balls be arranged in 2 (mirror image) ways?
    I read it that each time the balls are rearranged, balls are also removed, leading to a configuration which is necessarily distinct.

    Is the inside of the box completely rigid?
  7. 16 Sep '04 20:54
    Originally posted by Acolyte
    I read it that each time the balls are rearranged, balls are also removed, leading to a configuration which is necessarily distinct.

    Is the inside of the box completely rigid?
    yes to both.