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Patterns with successive cicles

Patterns obtained by successively laying down circles in such a way that the center of each new circle is as close as possible to the center of the first circle. Except in the very first case, the extent to which these represent the densest possible packings is not clear, and indeed it is quite possible that in most such actual packings circles of different sizes are just separated into several uniform regions.

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From Stephen Wolfram: A New Kind of Science [citation]