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Mathematician Shows How to Make Any Shape From a Single Cut

Mathematicians don’t approach the world quite like the rest of us. Case in point: Katie Steckles. The Manchester-based mathematician was trying to cut a square out of a piece of paper and started to wonder about the most efficient way to do so. Her queries led her to some experimentation (turns out it can be done with one snip), and then to the pub, where she wondered aloud whether there were other shapes that could be made with one cut. Her companion asked, “Isn’t that a theorem?”

Indeed it is. The fold-and-cut theorem, which first appeared in 1721—and was later proved by MIT computer scientist/computational origami wizard/former child prodigy Erik Demaine—asserts that any shape comprised of straight lines can be made from a single cut if you can just figure out the right way to fold the paper. Stars, turtles, the entire alphabet—which Steckles demonstrates in the Numberphile video above—can all be crafted. The concept is pretty mind-blowing and, as you’ll learn from Steckles, might’ve even earned Betsy Ross her place in history. 

[h/t The Kids Should See This]

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26 Facts About LEGO Bricks

Since it first added plastic, interlocking bricks to its lineup, the Danish toy company LEGO (from the words Leg Godt for “play well”) has inspired builders of all ages to bring their most imaginative designs to life. Sets have ranged in size from scenes that can be assembled in a few minutes to 5000-piece behemoths depicting famous landmarks. And tinkerers aren’t limited to the sets they find in stores. One of the largest LEGO creations was a life-sized home in the UK that required 3.2 million tiny bricks to construct.

In this episode of the List Show, John Green lays out 26 playful facts about one of the world’s most beloved toy brands. To hear about the LEGO black market, the vault containing every LEGO set ever released, and more, check out the video above then subscribe to our YouTube channel to stay up-to-date with the latest flossy content.

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Of Buckeyes and Butternuts: 29 States With Weird Nicknames for Their Residents
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Tracing a word’s origin and evolution can yield fascinating historical insights—and the weird nicknames used in some states to describe their residents are no exception. In the Mental Floss video above, host John Green explains the probable etymologies of 29 monikers that describe inhabitants of certain states across the country.

Some of these nicknames, like “Hoosiers” and “Arkies” (which denote residents of Indiana and Arkansas, respectively) may have slightly offensive connotations, while others—including "Buckeyes," "Jayhawks," "Butternuts," and "Tar Heels"—evoke the military histories of Ohio, Kansas, Tennessee, and North Carolina. And a few, like “Muskrats” and “Sourdoughs,” are even inspired by early foods eaten in Delaware and Alaska. ("Goober-grabber" sounds goofier, but it at least refers to peanuts, which are a common crop in Georgia, as well as North Carolina and Arkansas.)

Learn more fascinating facts about states' nicknames for their residents by watching the video above.

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