(the title says “circle number”, but there is no appropriate english translation that i could find)
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The thing is, 2π is quite often for sure, but 1π isn’t that rare and doubling is so much easier than halving that π still wins against τ
It’s just more intuitive to use tau.
Take for example, the area of a circle.
If we define circumference as
C = τr, then we can actually just use the general formula for an area of a polygon (A = 1/2 p a), which for a circle (infinite-sided polygon) becomesA = 1/2 τr r.C=pandr=ais just circle vs polygon language.Of course πr^2 is the same formula, it’s just obscured a little bit more. But now you can see why it’s not always 2π - it’s because we actually did divide tau in half.
Anyway, I just think its kinda neat. I don’t think tau will catch on though 🙂.
Please label your variables! Here’s a table for you to fill in:
- | name | meaning | dimension |
- | r | radius of a circle | length |
By providing this information, you make your math more accessible!
Sorry, I would have done a better job, but that post was already super tedious to do in mobile. And r is the only variable I failed to define at all, but I figured people with opinions on pi would already know that one 🙂
When it comes to pi, doubling is exactly as hard as halving.
Calculators usually have a pi button but not a tau button :shrug🤷♀️
i’m in favor of renaming 2π to σ because the symbol looks like somebody is taking a measurement of the circumference of a circle.
π is the ratio between a circle’s diameter and its circumference. While diameter was much easier to measure historically, that ratio is unnecessarily arbitrary.
τ is the ratio between a circle’s radius and circumference. The radius much more directly defines a circle, so τ is the more fundamental ratio.
½τ more obviously indicates the geometric significance of its coefficient than 2π.
3.141592653589793238? Nah
6.283185307179586476? Nah
9.869604401089358618? YeahEdit (x5) edits are hard
Finally,
Brick his pypy
import ctypes
what is the third number?
edit: ooh, pi^2, i looked it up on the internet (number sequences online lookup tool)
e^(i pi) = -1 though
eiτ = 1 though
Just call it Ludolphian number smh
japanese Rudolph
Kreiszahl in der Tat!!! <3 <3 <3 <3 <3
i wish i could roll like that <3
