## Thursday, August 2, 2012

### Cents on the Dollar, Ctd

How much of a dollar bill can you cover up using change for a dollar? The coins must not overlap one another.

Yesterday I played the game three times, under three different conditions:
Version 1: Wide-open. In this version, you don't have to use all the coins. Equivalently, we might characterize things by saying that while you do have to place all of the coins adding to $1.00 on the table, not all of the coins on the table have to touch the dollar bill. Also, those coins that do touch the bill are allowed to protrude beyond its edges. Version 2: Intermediate. All of the coins adding to$1.00 have to touch the bill. Coins are allowed to protrude beyond the edges.
Version 3: Tight. All of the coins adding to \$1.00 have to lie within the boundary of the bill.
(The spreadsheet is appropriate for scoring attempts that meet the constraint in Version 3.)

On Monday I'll post a picture of my attempt at each version.