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06-26-2012, 10:46 AM
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#1 |
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Goon Squad Leader
Join Date: Nov 2004
Location: Seattle
Posts: 27,063
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because circles pack well in hexagons
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06-26-2012, 12:13 PM
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#2 | |
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Person who doesn't update the user title
Join Date: Jun 2010
Location: Bottom lands of the Missoula floods
Posts: 6,402
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Quote:
 I agree a single circle packs very efficiently in a single hexagon. But unless the floor is a hexagon of exactly the right size for US pennies, the problem changes to one of optimal packing hexagons. I assumed a regular shape of a rectangle or square. Erich's packing center Packing Equal Copies Unit circles in a square Unit circles in a hexagon So without changing the size and/or shape of the floor to accomodate the US penny, the optimal packing pattern may more difficult/impossible to find. |
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