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It's still π-day here (barely). My favorite of today's π-day videos is Vi Hart's, youtube.com/watch?v=imfqczglel — kind of conveys what I feel about the significance of random concatenations of digits.

@andrewt's Aperiodical piece on average numbers of representations as sums of squares (aperiodical.com/2019/03/buzz-i) is good too.

YouTubePi Day 2019: 6 Digits of Pi!!! 🍰By Vihart
Mar 15, 2019, 06:21 AM·Public·Web
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will((i)a(m))
@11011110 @andrewt fun fact. there's an exact formula for how many x,y satisfy x²+y²=n. it's 4 times (the number of factors of n of the form 4k+1 - the number of factors of n of the form 4k+3). another fun fact: this ties into the average being π through the Taylor expansion of arctan(1)=π/4
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Andrew

@will @11011110 oh, that's rather satisfying, thanks!

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Andrew

@will @11011110 maybe @ColinTheMathmo can think of one, it can be next year's pi day blog

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will((i)a(m))
@andrewt @ColinTheMathmo @11011110 I can remember like half of a proof based on factorization in Z[i] and like half of a proof based on generating functions
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