[Based loosely on some problems in chapter 2 of Another Fine Math You've Got Me Into ... by Ian Stewart.]
The Acme Tile company has observed a growing market for oddly shaped tiles, such as
+--+--+ +--+--+--+--+ | | | | | | | | +--+--+--+--+ +--+--+--+--+ | | | | | | +--+--+--+ +--+
Tiles of this form made up of five squares are called pentominoes. How many different shapes of pentominoes are there? What are they?
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