Vsauce

You all know the Pythagorean theorem, but what does a right triangle with a hypotenuse of 684,912,110,217,988,900 reveal about Pi? A lot, once you figure out the other two sides. If the square root of 684,912,110,217,988,900 yields 827,594,170, and that equals a^2 + b^2, we can find the ratio of a to b. And the

#shorts #geometry https://en.wikipedia.org/wiki/Chiliagon https://en.wikipedia.org/wiki/List_of_polygons

Indian recreational math genius D.R. Kaprekar has a set of numbers named after him, and a Kaprekar number occurs when you square that number, then add up the resulting digits to the original number. So, 55 is Kaprekar because squaring it gives you 3,025, and 30 + 25 = 55. You’d think that most Kaprekars

Serius est quam cogitas

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If we count 1 as a prime digit, you can start with 1, 2, 3, 5, or 7 and build Snowball Primes — prime numbers that remain prime each time you add another digit. Start with 3? Add a 1, still prime. Start with 7? Add a 3, still prime. 73, add a 1? 731

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The best way to divide a certain class of numbers is to use absolutely no math at all. WHAT?! It’s true — you can get the job done simply by transposing the first digit to the end of the number. 410,256 is a small, accessible number to try it. Just slide the 4 from the

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#shorts In ordinary English, the average number of letters per word is 4.2 In the first 10,000 digits of pi, the average is 5.7 So “Not A Wake” has a lot of big words 🙂

Blaise Pascal may have published Traité du triangle arithmétique in 1665, but the world knew about his triangle centuries before. Scholars in India, Persia, China, and even Germany played with the possibilities of a pattern of binomial coefficients, but Pascal brought it to the broader world. Pascal’s Triangle is easy to construct by hand; just

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Newcomb’s Paradox has confounded philosophers, mathematicians, and game players for over 50 years. The problem is simple: You can take Box A, which contains $1,000, *and* Box B, which contains either $0 or $1,000,000, or you can just take Box B. The right choice seems obvious — but there’s a catch. Before you play, an

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Isaac Newton was right about everything from gravity to the calculus, but he didn’t quite get it right on dice and probability. The Newton-Pepys Problem represents Isaac Newton’s only documented foray into probability. Samuel Pepys sent him a letter asking whether it would be more likely to roll one six in 6 dice, two sixes

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