For obvious reasons, I'm going to love today. There are so many fun things with pi.<p>1. It's roughly equal to ln(6) ^ (ln(5) ^ (ln(4) ^ (ln(3) ^ ln(2))))<p>2. It's not exactly hard to figure out whether pi ^ e is greater than e ^ pi (years ago I did it sans calculator on a test in a fast but brutish way), but there are some pretty terse, beautiful solutions that can be elusive.<p>3. Aside from the whole e^(pi * i) - 1 = 0 just looking too crazy to be true, I also love how it includes the basics tools of mathematics / philosophy. Subtraction (or addition if re-arranged), Multiplication (or division if re-arranged), exponentiation, true / 1, false / 0, equality, geometric ratio (pi) which can be thought of as representing the physical world, a growth ratio (e) which can be though of as representing life, and a number (i) literally name after an aspect of human thought / imagination.
The author of this post is the creator of the Julia visualization package Luxor.jl (<a href="https://github.com/JuliaGraphics/Luxor.jl" rel="nofollow">https://github.com/JuliaGraphics/Luxor.jl</a>). One thing I like about it is the nice turtle graphics feature (<a href="http://juliagraphics.github.io/Luxor.jl/stable/turtle.html" rel="nofollow">http://juliagraphics.github.io/Luxor.jl/stable/turtle.html</a>).
Is anyone else a bit sick of these 'pi days'? Every year we get the same old shtick.<p>Pleasingly, under the one true date format [0] there are no pi days. (Well there are, but long past the heat death of the Universe.)<p>[0] <a href="https://xkcd.com/1179/" rel="nofollow">https://xkcd.com/1179/</a>