… 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 R

_{1}occupies the same space as a square donut with side 2R_{1}. If the center circle of a round donut has a radius R_{2}and the hole of a square donut has a side 2R_{2}, then the area of a round donut is πR_{1}^{2}- πr_{2}^{2}. The area of a square donut would be then 4R_{1}^{2}- 4R_{2}^{2}. 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 (R_{2}= R_{1}/4) and replacing in the proper expressions, we have a 27,6% more donut in the square one (Round: 15πR_{1}^{2}/16 ≃ 2,94R_{1}^{2}, square: 15R_{1}^{2}/4 = 3,75R_{1}^{2}). Now, assuming a large center hole (R_{2}= 3R_{1}/4) we have a 27,7% more donut in the square one (Round: 7πR_{1}^{2}/16 ≃ 1,37R_{1}^{2}, square: 7R_{1}^{2}/4 = 1,75R_{1}^{2}). 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.

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2 hours ago

332,580 notes

LMAO

I want a relationship as perfect as Jane and Brads.

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2 hours ago

17,650 notes

I want everyone to know that this was taken by a white male.

yes unfortunately i am indeed a white male

for now

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17 hours ago

156,995 notes

zkac:

what’s Whitney Houston’s favorite type of coordination?

HAAAAAAAAAND EYEEEEEEEEEE

i hate this i hate u

(via cornfuse)

2 hours ago

93,487 notes

Iron Man.

how the fuck

I’m hungry

Iron Pan(cake)

3 hours ago

1,009 notes

I hate brushing my teeth at night because that signifies that you can’t have anymore food and I’m just never ready for that kind of commitment

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17 hours ago

100,718 notes