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2*((flat dist/2)/0.866) Or in words: Take half the flat distance, divide that by 0.866, multiply the result by 2. You can derive this yourself by drawing a hexagon and drawing in the lines you want through the exact center of the hexagon. You will discover this makes two right triangles, the hypotenuses of which are the "across corners", and the "long sides" of which are the "across flats". By inspection, there are 12 of these triangles, meaning the small angle of each is 30 degrees. The cosine of 30 degrees is 0.866, which is the ratio of each triangle's "long side" to their hypotenuse. Do the math and you will come up with the formula above. Cheers!

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Q: How do you find across corner of the hexagonal nut by only using Across flat thickness?
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