Milky Way meets Northern Lights by OliverAgit

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 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.god i love this site

can’t argue with science. Heretofore, I want my donuts square.

more donut per donutBut then if you’re able to fit more donuts in a box wouldn’t it be harder to grab a donut out because they fit so well next to each other

You can grab them from the hole in the middle.

Is the small inconvenience of grabbing it worth less donut per donut? No

Fossil skeleton of

Archelon, a giant Cretaceous turtle. Found in the Pierre Shale of South Dakota.

(Source: *Wikipedia*, via bibidebabideboo)

Kosen こせん, sake flask in the form of an Akita dog 秋田犬, decorative arts, 1930s

(via alphabetizingsins)

A guide to common terms used in describing tiaras

(Source: royallyvintage, via the-secret-life-of-ravens)

Weekends should be filled with scenes like these. #sunset #pier #symmetry #horizon (at Montigo Resorts Nongsa)

Sam Laughlin, FourPhotographs from the Series “Frameworks”,(Published in limited edition book form byThe Velvet Cellin 2014)Across Europe, people find buildings that lie unfinished, some are skeletal in form and purpose. These concrete forms represent a stage of the architectural process that, in their case, may never be completed. Here we see architecture paused; construction has ceased and we are left with the bones of buildings in stasis.

In this state, the architectural lineage is revealed by their resemblance to the remains of classical structures. Incomplete for political and economic reasons, they have become the ruins of modernity.

(via fiore-rosso)