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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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Some Thoughts re: Overlooked problem | Comment 2 of 11 |
(In reply to Overlooked problem by Steve Herman)

I can do better.  Take five pennies and arrange them in a row of three on top of a row of two. The center of the row of three is touching all four other pennies.  Remove that penny to leave four pennies in a U-like shape.  This convex hull's area is significantly greater than the area from the square or diamond configuration.
  Posted by Brian Smith on 2016-01-30 23:16:21

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