Babushka Squares

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Babushka squares. A babushka doll, is a set of dolls of decreasing sizes placed one inside the other. The word babushka is the Russian word for grandmother. In this game, a bunch of squares are glued together along their edges like this:

Example: Trere are two shapes with 3 squares.

The wooden containers to hold these two shapes is:

The figures in the middle are not correct because some squares are not glued together along a full edge. The figure on the right is not correct because the squares are not the same size.

Question: How many figures can you do with 5 squares? These shapes are called pentominoes by mathematicians. Can you build a wooden carrying case to carry them:


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