Quote:
Originally Posted by BigV
because circles pack well in hexagons
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V, I was trying to be facetious...
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.