Yueh-chan
sparklingganymede:

tyleroakley:

entropiaorganizada:

hookteeth:

… 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?
Hrm.
HRM.

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.

This is the highest and best use of conic sections I have ever seen.

sparklingganymede:

tyleroakley:

entropiaorganizada:

hookteeth:

… 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?

Hrm.

HRM.

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.

This is the highest and best use of conic sections I have ever seen.

houseofhannibal:

madame-vashtranerada:

houseofhannibal:

dash is named dash because he runs really fast

violet is named violet because ultraviolet rays are invisible to the human eye

so what’s jack jack’s name got to do with his power

jack of all trades because he has so many powers

OH

theshortycorporal:

STOP SCROLLING

imagine levi commanding titan eren just like remy does in ratatouille

CONTINUE SCROLLING

thornicating:

snap snap snap snap 
                     snap 
                snap
            snap
        snap
    snap
snap snap snap snap

terranell:

teutoniic:

un-toxicated:

finnharriesdick:

kissnecks:

there should be a two year period after high school where it is socially expected that kids not work or go to school or do anything but take road trips, read books, meet new people, and take lots of pictures

yeah that’s called a gap year… don’t you have that?

Not in America…

what

My stupid ass went to college three weeks after graduating high school.  It was simultaneously the best and worst decision of my life.

harvestheart:

geekycrap:

pleatedjeans:

via

checkmate, nerds

HH:  Too cute.

harvestheart:

geekycrap:

pleatedjeans:

via

checkmate, nerds

HH:  Too cute.