CaliforniaMama Monday Jun 25 12:44 PM
June 25, 2012 - A Penny for your Thoughts
ToastyOhs Monday Jun 25 01:02 PM
Find a penny pick it up...
Sheldonrs Monday Jun 25 01:51 PM
It's common cents.
CaliforniaMama Tuesday Jun 26 10:23 AM
Oh, yeah: Thanks classicman.
classicman Tuesday Jun 26 10:33 AM
no prob.. here ya go.
classicman Tuesday Jun 26 10:34 AM
Hey Kerosene - Does that father in the pic look like anyone you know?
classicman Tuesday Jun 26 10:36 AM
Another fun fact, math nerds please verify....
Lamplighter Tuesday Jun 26 11:38 AM
The diameter of a US penny is 0.750 inches, so it's area is 0.4415 sq in.
BigV Tuesday Jun 26 11:41 AM
I would ask why you insist on packing a square foot of pennies in a shape that is a square? To my mind, a square foot of pennies could be much more reasonably accommodated in a hexagon.
Lamplighter Tuesday Jun 26 11:44 AM
because your parents were honeybees ?
BigV Tuesday Jun 26 11:46 AM
because circles pack well in hexagons
infinite monkey Tuesday Jun 26 11:47 AM
Maybe he grew up in Hex House.
BigV Tuesday Jun 26 11:49 AM
Oh, bee hive!
infinite monkey Tuesday Jun 26 11:53 AM
Squashing my buzz.
Perry Winkle Tuesday Jun 26 11:54 AM
I want a DIY guide. How do you seal those down? We have wood laminate floors now, could you do it on top of that?
infinite monkey Tuesday Jun 26 11:58 AM
Diaphone Jim Tuesday Jun 26 12:17 PM
classicman Tuesday Jun 26 12:31 PM
For blueboy in D-Jim's link from 2009 ... better late than never
infinite monkey Tuesday Jun 26 12:33 PM
I have a few wheat pennies. I love wheat pennies and separate them whenever I see one. But not nearly enough for a cool project like that! Then again, you kind of want to see the front and back of wheat pennies.
Lamplighter Tuesday Jun 26 01:13 PM
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.
classicman Tuesday Jun 26 01:28 PM
You are going to be right against two walls and within the diameter of a penny from the other two. Thats what trim is for.
Lamplighter Tuesday Jun 26 03:39 PM
The simplest pattern to visualize is this:
If pennies are 0.75 inches in diameter, this pattern would hold 16 per linear foot.
16 x 16 = 256, or $2.56/sq ft.
But the pattern used in the OP was different, and more efficient.
So if you change the pattern towards a more "optimum" packing,
(or towards maximum number that will fit in a square foot)
the number or cost, obviously, would be higher.
The difficulty in calculating the optimum packing comes in selecting repeating "tiles" that fit the specific area efficiently.
Just as BigV said earlier. Circles fit hexagons very efficiently, but hexagons don't fit squares efficiently at the edges.
classicman Tuesday Jun 26 03:50 PM
so the figure I read was relatively accurate. thanks.
infinite monkey Tuesday Jun 26 04:09 PM
classicman Tuesday Jun 26 04:51 PM
lol - thats what made me post my original question.
kerosene Tuesday Jul 3 09:18 PM
classicman Thursday Jul 5 01:58 AM