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Posers and Puzzles

Posers and Puzzles

  1. Standard member talzamir
    Art, not a Toil
    04 Nov '11 07:20
    Inspired by the "make 24" thread, but an open-ended version.

    This was an annual contest in a magazine here, but it was for obvious reasons discontinued in year 2K. The idea is to use the four numbers to come up with 0, 1, 2, ... . 1998 was a special year for me for more reasons than one, so we'll go with that. If someone has another special year in our lifetimes, by all means go for it.

    Rules:
    * basic math expressions + - x : are ok
    * roots are ok, but nth root requires the use of the number n.
    * Square root is ok and can be expressed without a 2.
    * numbers can be raised as exponent for powers.
    * numbers may not be glued together, e.g. 1 9 -> 19
    * the original order need be retained.
    * expressions requiring letters or words, such as LCD or LCM, are out.
    * expressions requiring a symbol, such as factorial, are in.

    To get started,

    0 = 1 x (9 - 9) x 8
    1 = 1 ^ 9 ^ 9 ^8
    2 = 1 + (9 / 9) ^ 8
    3 = 1 x sqrt(9) x (9 - 8)

    etc. There are multiple ways for the first few, but it gets harder soon enough.

    How far can one get?
  2. 04 Nov '11 10:40
    i like this one - will throw it to my students and see how well they do
  3. Standard member talzamir
    Art, not a Toil
    04 Nov '11 13:38
    I hope you and they'll have a great time. =)

    Another variant of the same uses four 4's. And yet another a four and nine - just two numbers, but those too provide lots of opportunities, starting with one. =)