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Thursday, June 28, 2012

National Tau Day



If Dustbury can flak for Rebecca Black, then I can do the same for Vi Hart. Meanwhile, I came across this little bit in Haruki Murakami's Hard-Boiled Wonderland and the End of the World:


Of course, it isn't practical, you can't make a mark that exact with any existing technology, or for that matter any possible technology.  In about ten digits you are down to the size of an atom, after that you would be splitting atoms, which would pretty much destroy the toothpick.

This got me thinking about irrational numbers in general. No matter how many digits you have, you will never have the exact value, and any digits past ten are just a waste, you will never be able to translate them into a physical object. I suppose that is just one of the inherent limits of our linear model of numbers.

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