# A Little Game Called Pentominos

 Project by GaryK posted 01-16-2008 08:20 PM 4629 views 79 times favorited 35 comments

Pentominos

Here is a little “game” that is composed entirely of squares or cubes. Squares for a 2D game and cubes for a 3D game.

You start with 60 cubes (I’ll use cubes from here on). You can make them whatever size you want. From the cubes you create the following 12 pieces. (be careful with the u shaped one that you don’t make the gap too small. Upper left one in the picture.) These are all the possible combinations with 5 pieces each.
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To get all long grain to long grain glue up you need to face the end grain up when gluing. I used a small radius on the edges to make the cubes show up better. You could make these from solid pieces of wood but this is simpler.

2D Game
The object of the game is to try to arrange the 12 pieces into rectangles as follows:
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10×6 (2339 solutions)
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12×5 (1010 solutions)
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15×4 (368 solutions)
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20×3 (2 solutions)
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Then there is the 3D Game

The object of the game is to try to arrange the 12 pieces into rectanglular cubes as follows:

5×4 x 3 (3940 solutions)
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5×6 x 2 (264 Solutions)
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10×3 x 2 (12 Solutions)
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There are countless shapes possible.
Here are a couple.
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-- Gary - Never pass up the opportunity to make a mistake look like you planned it that way - Tyler, TX