I live in the 5th floor of a 10 story building and this lady is and has been on the ground floor outside the lobby screaming and calling her boyfriend/husband/whatever or I should say her now “ex” for over an hour now to come back. The most impressive thing, however, is the fact that I can still hear her loud and clear all the way here.
… Y’see, now, y’see, I’m looking at this, thinking, squares fit together better than circles, so, say, if you wanted a box of donuts, a full box, you could probably fit more square donuts in than circle donuts if the circumference of the circle touched the each of the corners of the square donut.
So you might end up with more donuts.
But then I also think… Does the square or round donut have a greater donut volume? Is the number of donuts better than the entire donut mass as a whole?
A round donut with radius R1 occupies the same space as a square donut with side 2R1. If the center circle of a round donut has a radius R2 and the hole of a square donut has a side 2R2, then the area of a round donut is πR12 - πr22. The area of a square donut would be then 4R12 - 4R22. This doesn’t say much, but in general and throwing numbers, a full box of square donuts has more donut per donut than a full box of round donuts.
The interesting thing is knowing exactly how much more donut per donut we have. Assuming first a small center hole (R2 = R1/4) and replacing in the proper expressions, we have a 27,6% more donut in the square one (Round: 15πR12/16 ≃ 2,94R12, square: 15R12/4 = 3,75R12). Now, assuming a large center hole (R2 = 3R1/4) we have a 27,7% more donut in the square one (Round: 7πR12/16 ≃ 1,37R12, square: 7R12/4 = 1,75R12). This tells us that, approximately, we’ll have a 27% bigger donut if it’s square than if it’s round.
tl;dr: Square donuts have a 27% more donut per donut in the same space as a round one.
Thank you donut side of Tumblr.
[sleep-over voice] are you awake
[sleep-over reply voice] yeah
[regrettable sleepover invitee voice] you guys SHH
[confused sleep-over voice] what is the meaning of life
[annoyed sleep-over voice] dude shut up
[sleep-over host voice] you guys be quiet my moms gonna hear us
[unknown voice] you kids wanna buy some drugs
So it’s 3AM and It’s just occurred to me that the most telling scene in the entire Harry Potter franchise is the scene following the announcement of the participants of the Triwizard tournament.
When Harry’s name is pulled out of the cup, literally one of the first things he…