Becca here again.
Okay so forgive me if what I’m about to say is completely inane but today’s Dinosaur Comics made me think of this: you know how (or maybe you don’t…any CS nerds in the hizzouse?) some numbers that are regular floating point decimals in base 10 repeat in binary? Like 0.5 in decimal is a repeating fraction when converted to binary. Well what if pi is actually not irrational in other bases? I wonder if any research has been done to that effect…but it would be completely a shot in the dark because it would be impossible to accurately convert pi to other bases to start with, or to find numbers in other bases which appear to match, you’d have to go on forever.

…But wouldn’t that be wild!?


1 Response so far »

  1. 1

    bagricula said,

    Pi (and any irrational number I believe) cannot be expressed as a fraction in any basis. I saw this proof once in algebra, but I can’t recall the details.

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