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Puzzle 1. Twelve pentominoes are arranged in a
6x10 rectangle as is shown in the topmost diagram. Can you divide the
rectangle, along the black lines only, into two parts that can be
fitted together again to make the three-holed rectangle shown in the
bottom diagram?
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Puzzle 2. Arrange the twelve pentominoes to form
a 6x10 rectangle but in such a way that each pentomino touches the
border of the rectangle. Of the several thousand fundamentally
different ways of making the 6x10 rectangle (rotations and reflections
are not considered different), only two are known to meet the
condition of this problem. Asymmetrical pieces may be flipped over.
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