Sator square tattoo

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sator square Ancestral Magic, Sator Arepo Tenet Opera Rotas, Sator Square, Ruins Of Pompeii, Square Tattoo, Hex Signs, Everything Is Illuminated, Faith Healing, Folk Magic

Found in the ruins of Pompeii, the Latin inscription SATOR AREPO TENET OPERA ROTAS (“The sower Arepo holds the wheels with effort”) may be the most symmetrical sentence ever composed. If it’s written conventionally, it’s a palindrome, reading the same forward and backward. And if it’s written into a square: … it reads the same left to right, top to bottom, right to left, or bottom to top.

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Let a, b and c be the sides of the right triangle. The area of the middle square is clearly c^2. However, that is also the large square ((a+b)^2), removing the four triangles (ab/2 each). Subtracting, you get a^2+b^2.    For the inequality, the big square ((a+b)^2) is larger than the four rectangles (ab each), as the tiny square has area. Taking the square root and dividing gives (a+b)/2 > sqrt{ab}. (Note that when a=b, the square in the middle goes to 0, and we have equality. Pythagoras Tattoo, Math Tattoo, Geeky Tattoos, Remember Tattoo, Square Tattoo, Upper Back Tattoos, Clover Tattoos, Clever Tattoos, Shape Tattoo

It’s a simple tattoo, but oh so important in the world of math. And it’s on a super geek. (He even sent a latexed version of the proof). For those that aren’t familiar, it’s a pictorial proof of the Pythagorean Theorem / Means Inequality. Here’s Sam’s explanation: Let a, b and c be the sides […]

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