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A polyomino (no e!) is a shape made of n squares fit together. They must connect with edges. One example is the Tetris pieces. They are all tetrominos, which have 4 sqaures. pentominos havbe five, dominoes have 2, triminos have 3, ect.

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Q: What is a polyomino?
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Do all pentominoes tessellate?

Yes. URL: http://en.wikipedia.org/wiki/Polyomino#Tiling_the_plane_with_copies_of_a_single_polyomino


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What is the minimum perimeter of a polyomino with an area of 25?

The minimum perimeter of a polyomino is the perimeter of the most square shape that can be formed. If the area can't form a perfect square, the minimum is formed by wrapping the additional units in a spiral around the smallest square or rectangle. Since 25 happens to be a perfect square (the square root is 5), the perimeter would be 2(5+5)=20. If the area were between 26 and 30 that would add two additional sides which would be 20+2. After 30 the units would wrap to a new side of the 5x6 arrangement (still a perimeter of 22) yielding a new perimeter of 22+2 or 24, which would persist until it exceeds 6x6, and so on.


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