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File: RandomFactlets So here are a few things I've tweeted or written about: * 2010/04/21 : There is a set of five words in English that differ only in the vowel. Your challenge is to find them. Is there more than one set? * 2010/04/19 : Maths factlet: The fraction 16/64 can be simplified by cancelling the 6's, and 19/95 can be simplified by cancelling the 9's. * 2010/04/16 : The speed of sound (in air at sea level) is almost exactly a million times slower than the speed of light. Roughly 1ft/ms vs 1ft/ns. Coincidence, or conspiracy ... * 2010/04/14 : An ounce of gold weighs more than an ounce of feathers. * 2010/04/12 : On a 2GHz computer, in one clock tick, light travels about 6 inches * There are /pi/ seconds in a nano-century (to within 0.45% or so) * 10! seconds is exactly 6 weeks * [ sqrt(2)-1 ]^n is always the difference of the sqrts of consecutive integers * So (sqrt(2)-1)^3 = sqrt(50)-sqrt(49) * This means there are infinitely many numbers that are both triangular and square! * ... because the 2 numbers you generate are 1 apart and are always a square and 2 lots of a square. Multiply them and /2: bingo! * This last from Tom Button ... what next?