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The Sausage-Stacking Theorem
It's no secret that the powers of two are some of my favourite numbers. There are so many interesting things to say about them that often I don't know where to begin! (In case you're not au fait with the terminology, the powers of two are the numbers you can make by starting with 1 and multiplying by 2 over and over. The list starts out 1, 2, 4, 8, 16, 64, 128 etc.)