edenfenix:ifeelbetterer:juicyjacqulyn:entropiaorganizada:hookteeth:hethatcures:This legitimately ups
edenfenix:ifeelbetterer:juicyjacqulyn:entropiaorganizada:hookteeth:hethatcures:This legitimately upsets me.… 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.god i love this siteOk, so perhaps you might get more of the building material that makes a donut in this fashion, but I would counter with the humanist’s position: is it even a donut anymore?It might be scrumptious, it might be a better expenditure for the space, but what about the history of a donut? What about your childhood recollections of eating donuts—of, if you’re me, learning how to “read” Dunkin Donuts (by the color and the smell) before any other word—or what about fact that Hanson Gregory, who claimed to have invented the doughnut in 1847, didn’t invent a square thing, he invented a ring of dough? And what about the fact that the donut you eat is another in a long line that once fed Washington Irving?And, to be perfectly honest, I’m not entirely convinced a square fried dough thing could be as delicious as the round original. It seems too mechanized, too inhuman to be my delicious treat. Give me my ring of dough any day.No seriously.I just want a donut.Tumblr teaches us to think deeply about real life problems. -- source link
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