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Whiteboardmaths.com © 2009 All rights reserved

There are a total of 7 irregular shapes that can be made by joining (3 or 4) cubes together. in face-to-face contact. The only one that can be made using just 3 cubes is shown below together with one using 4 cubes. Each of the irregular shapes must contain a corner nook (concavity) unlike the regular shapes shown. Regular ShapesIrregular Shapes Using unit cubes or the triangular dotty paper provided, can you find the remaining five irregular 4 cubes? SOMACUBE

These two are mirror images of each other. It is a surprising fact that these seven pieces can be joined together to form a 3 x 3 x 3 cube. There are 240 distinct solutions to this puzzle. Can you find one? SOMACUBE This puzzle was invented by the Danish mathematician, Piet Hein in 1927.

Other Shapes Well Tunnel Chair Steps Sofa SOMACUBE All the shapes shown can be built out of the seven pieces. Why not try these or build some of your own?

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