If you crop the extra white space at the top, this meme has the √2̅:1 (or 2:√2̅) aspect ratio, which I find more pleasing than the “golden ratio”, perhaps because I’m so used to A4 paper
x^2
—— = x
xWhat if I told you that it works for any number 𝑥 you replace 2 with? (Except for 0 but still working for 𝐥𝐢𝐦 𝑥→0)
… where x is positive.
Otherwise it has an imaginary component and is complex.
Nope, it still works even then.
NOW I get it. Thanks.
This isn’t intuitive to people?
2/sqrt(2) = ( sqrt(2)*sqrt(2) ) / sqrt(2)
Then cancelling out one of the
sqrt(2)
s in the numerator with thesqrt(2)
in the denominator, you’re left withsqrt(2)
.I do a lot of toodling around in OpenSCAD, though, and
sqrt(2)
tends to come up a lot because, you know, Pythagoras and right triangles and all that.Also pops up a lot in basic electrical engineering as the conversion factor between amplitude and RMS value of sine waves
It’s Really simple once you get it, but it allways blows my mind.
Wtf is this
Maf
x^2
—— = x
xWell the square root of x times itself gives you x
I had to go through the five stages of grief to fully process your explanation. Thanks for explaining.
c/mathmemes
i too remember when i was on 8th grade