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Posers and Puzzles

Posers and Puzzles

  1. Subscriber sonhouse
    Fast and Curious
    21 Dec '13 16:29
    So on an ordinary 12 hour clock, draw 2 lines between any set of numbers, from outside to inside, that is, intersecting a circle surrounding the numbers, say a line from the space between 7 and 8 and continuing to the space between 3 and 4, that kind of thing.

    If the lines don't intersect, you have 3 spaces, if they intersect you have 4 spaces defined.

    The puzzle is to place the lines in such a way that the addition of the resultant numbers are all equal.
  2. Subscriber Ponderable
    chemist
    23 Dec '13 13:30
    Originally posted by sonhouse
    So on an ordinary 12 hour clock, draw 2 lines between any set of numbers, from outside to inside, that is, intersecting a circle surrounding the numbers, say a line from the space between 7 and 8 and continuing to the space between 3 and 4, that kind of thing.

    If the lines don't intersect, you have 3 spaces, if they intersect you have 4 spaces defined. ...[text shortened]... le is to place the lines in such a way that the addition of the resultant numbers are all equal.
    Since the sum of 1 to 12 is 78 and 78/3=26:

    One field with 11,12,1,2
    one field with 10,9,3,4
    and 5,6,7,8
  3. Subscriber sonhouse
    Fast and Curious
    23 Dec '13 16:43 / 1 edit
    Originally posted by Ponderable
    Since the sum of 1 to 12 is 78 and 78/3=26:

    One field with 11,12,1,2
    one field with 10,9,3,4
    and 5,6,7,8
    Bingo! Tip o the hat to ye! Yep, you could see clearly it had to be a three partition, 4 would been 19.5 X4 =78. So the lines could never intersect leaving only a triple partition.
  4. Standard member talzamir
    Art, not a Toil
    29 Dec '13 10:49
    So.. slicing a dot in half so that 1 would be .5 on both halves would be uncool? I wonder if such a solution would exist..