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4 cents (Posted on 2014-09-12) Difficulty: 3 of 5
Place four pennies on a table such that each touches at least one other.

For what arrangement will the area of the convex hull of this shape be maximized?

No Solution Yet Submitted by Jer    
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Close, but no cigar | Comment 10 of 11 |
I just tried a Y shape, i.e. one central coin with three arrayed equally around it.  I calculate its convex hull as Pi + 9*sqrt(3), which is .07 less than the so far winning solution of Pi + 10 + 4*sqrt(2)
  Posted by Steve Herman on 2016-01-31 18:03:22
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