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June 25, 2012 - A Penny for your Thoughts
From Floor and Decor.
Here's another image showing it being laid out.
ToastyOhs Monday Jun 25 01:02 PM
Find a penny pick it up...
This might take a while.
Sheldonrs Monday Jun 25 01:51 PM
It's common cents.
CaliforniaMama Tuesday Jun 26 10:23 AM
Oh, yeah: Thanks classicman.
I couldn't get your original image to copy as an image. It says it's a part of a video.
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?
Probably not to you, but I did a double-take when I first saw it on my news feed.
classicman Tuesday Jun 26 10:36 AM
Another fun fact, math nerds please verify....
I read that the cost per sq ft. was $2.58 in pennies.
GO!
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.
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
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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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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
http://www.interiorholic.com/decorat...r-penny-floor/
Diaphone Jim Tuesday Jun 26 12:17 PM
http://cellar.org/iotd.php?threadid=20604
and I'll raise
http://cellar.org/iotd.php?threadid=23711
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
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Originally Posted by BigV
because circles pack well in hexagons
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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
Attachment 39268
Unit circles in a square
Attachment 39270
Unit circles in a hexagon
Attachment 39269
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.
So back to my original question how many pennies fit in a 12"x12" space?
Lamplighter Tuesday Jun 26 03:39 PM
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Originally Posted by classicman
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.
So back to my original question how many pennies fit in a 12"x12" space? |
The simplest pattern to visualize is this:
Attachment 39274
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.
I believe that amount would give one a good idea of the cost to cover their floor
... within a few pennies anyway.
infinite monkey Tuesday Jun 26 04:09 PM
| •Some sources indicate that the amount of pennies, but of course it might vary. One source said it took about $7.50 in pennies per square foot. So that’s quite a lot of pennies, but is still cheaper than making a customized flooring professionally. But of course it depends of the size of your floor, and your penny spacing. |
classicman Tuesday Jun 26 04:51 PM
lol - thats what made me post my original question. 
I think that number actually refers to the TOTAL cost per sq ft, but was written incorrectly.
kerosene Tuesday Jul 3 09:18 PM
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Originally Posted by classicman
Hey Kerosene - Does that father in the pic look like anyone you know?
Probably not to you, but I did a double-take when I first saw it on my news feed. |
classicman Thursday Jul 5 01:58 AM
Actually now that I saw some more pics of him on FB - not as much as I thought. :/
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