As pointed out in the comments the quote is from Kevin Brown of mathpages
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My personal favorite relation between π and e 
Is there any other mathematician whose work is instantly recognizable?pic.twitter.com/WMliDN17Vs
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Does this imply the the square root of pi times e over 2 is irrational? (I ask because IIRC it’s still unknown whether pi times e is irrational, though “everybody” thinks it is.)
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Hmmm I’m not sure.. since the series is in there too.. but an irrational plus an irrational is also irrational, so naively it would at least seem like it
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My favorite: i^i=e^(-0.5 Pi) Where i=sqrt(-1), Pi=3.1415926535...
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Thanks to Euler: unit circle r=1: z=x+i y=cos(a)+i sin(a) dz/da=-sin(a)+i cos(a)= iz Therefore: dz/da=iz solving z=e^(ia)=cos(a)+i sin(a) Choosing: a=0.5 Pi: e^(0.5Pi)=i (since cos(0.5Pi)=0, sin(0.5Pi)=1) Raising to the power of "i": (e^(0.5Pi))^i=i^i=e^(-0.5Pi) q.e.d.#
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"Is there any other mathematician whose work is instantly recognizable?" I think that's a quote from Kevin Brown of Mathpages.https://math.stackexchange.com/a/1542090
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Thank you! I couldn’t I remember where I saw it
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I thought it was Madelbrot!
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