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Aha! I figured out one bit of flaw in sleepyjeff's breakdown. Each step is about having 4 grandparents so it's a 2 generation jump, not one. So your calculations represent 32 generaions, not 16. So you're talking WAAAAAY back, long enough that it's absolutely a guarantee that generaitonal lines and branches of trees will have corssed several times over. Of course, so distantly as to not matter from a gene-pool perspective, but that's why the numbers seem so out of whack.
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'He who receives an idea from me, receives instruction himself without lessening mine; as he who lights his taper at mine, receives light without darkening me.'
-TJ
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