The diameter of a US penny is 0.750 inches, so it's area is 0.4415 sq in.
A 1x1 ft square has an area of 144 sq in.
The pattern for maximum packing of US pennies in a 1x1 ft square
is left as a simple mind-exercise for the Reader...
Mathematics
Quote:
Is there a simple equation that can be used to show how many circles of radius (r)
can be packed into the rectangle (l x w), in the optimal way? So that no circles overlap.
(r is less than both l and w).
...And it seems the answer is "we don't really know" 
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