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We label the corners using binary numbers

At first this may seem

to be even more clumsy

than using letters.

But it gives us one huge

advantage we didn’t have

before:

Now, we can identify the

adjacents mathematically.

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If, instead of decimal numbers, we label each corner with binary numbers, we are given a simple but powerful mechanism for identifying which corners are close to each other. We can identify the adjacents mathematically.