QA Vibes Puzzles

Classic Interlude

admin — Sat, 19 May 2012 20:46:34 +0000

For a math project I have to put a section on a poster which tells of how jigsaw puzzles are related to math, with math work and such. But I can't seem to find anything on how jigsaw puzzles relate to math. Does anyone happen to know anything about this subject?

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My daughter and I have a table in the living room where we like to keep out, with our puzzles that we are working on. We dont like putting them away everytime, because its much more inviting to work on if its already out and easily accessable. Our cats love to jump on the table and knock out pieces onto the floor and just destroy our progress. Does anyone know if there are anything like "puzzles protectors" out there that I can make or buy...like a cover of some sort? A towel or sheet doesnt work.

Puzzle 160: Absolute maximum

nickh@qbyte.org (Nick Hobson) — Wed, 8 Aug 2007 08:03:16 GMT

The absolute value of a real number is defined as its numerical value without regard for sign. So, for example, abs(2) = abs(-2) = 2. The maximum of two real numbers is defined as the numerically bigger of the two. For example, max(2, -3) = max(2, 2) = 2. Express: (a) abs in terms of max; and (b) max in terms of abs.

Puzzle 159: Eight odd squares

nickh@qbyte.org (Nick Hobson) — Wed, 23 May 2007 14:18:52 GMT

Lagrange's Four-Square Theorem states that every positive integer can be written as the sum of at most four squares. For example, 6 = 2^2 + 1^2 + 1^2 is the sum of three squares. Given this theorem, prove that any positive multiple of 8 can be written as the sum of eight odd squares.

Puzzle 158: Fermat squares

nickh@qbyte.org (Nick Hobson) — Thu, 10 May 2007 14:30:59 GMT

By Fermat's Little Theorem, the number x = (2^(p-1) - 1)/p is always an integer if p is an odd prime. For what values of p is x a perfect square?

Puzzle 157: Trigonometric product

nickh@qbyte.org (Nick Hobson) — Fri, 4 May 2007 22:12:23 GMT

Compute the infinite product [sin(x) cos(x/2)]^(1/2) * [sin(x/2) cos(x/4)]^(1/4) * [sin(x/4) cos(x/8)]^(1/8) * ... , where 0 <= x <= 2*Pi.

Puzzle 156: Three simultaneous equations

nickh@qbyte.org (Nick Hobson) — Fri, 27 Apr 2007 13:02:34 GMT

Find all positive real solutions of the simultaneous equations: x + y^2 + z^3 = 3, y + z^2 + x^3 = 3, z + x^2 + y^3 = 3.