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The Egyptians and Babylonians counted in base 12. They did so by counting each section of the fingers on one hand with their thumb (4 fingers, 3 sections each = 12).

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From what I understand they used base 60. They counted each finger section on one hand with each of the fingers on the other (5x12)

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I have noticed old people in India who are used to counting like that as well.

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Strange Planet by Nathan W. Pyle

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