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A polyomino is a connected collection of unit squares where the unit squares create a continuous path for the first square to the last square. Consecutive squares in the path must share a side. The smallest polyomino that has one hole uses 7 unit squares, as shown. How many unit squares are in the smallest polyomino that has two holes? (A hole is a unit square that is not part of the polyomino but is surrounded on all four sides by squares that are part of the polyomino.

Emily.Hi.

by Emily.Hi. at September 10, 2011

This is the polyomino: xx x x xxx The x's are the shaded parts. PLEASE ANSWER ASAP!!!

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Do it on graph paper, use the seven unit pattern provided, assuming it was drawn clockwise from 3 o'clock. Go two up, two over and one down, this creates another "hole" with just five more units. I don't see a way to do it with less than twelve total.

SerTorm SerTorm September 16, 2011

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