"Today we lost not only an international hero and a symbol of the resilient human spirit, but also the very first political figure ever who people actively wish was still alive and affecting world affairs."
… 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.
"Think about me when you’re living your life one day after another, all in a neat pattern. Think about the homeless traveller and his old police box, with his days like crazy paving."
Project completion! This is the longest personal project I’ve done.
Shout out to Big Finish, the audios really fuelled me through this.
"Doctor Who 50th Anniversary Project"
Nice Doctor Who tribute animation by Chang Dai.
Please enjoy his project here : http://tumblebuggie.tumblr.com/tagged/doctor-who-anniversary
And full film : http://vimeo.com/80087215
Happy birthday again, Doctor.
Captain Picard sings “Make it So”.
Feel free to stop after a minute or so, the second half is a plug for the guy who made it.
You really should read the entire article: Headlines from a Mathematically Literate World | Math with Bad Drawings)