Bedlam cube

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The Bedlam cube is a solid dissection puzzle invented by Bruce Bedlam. The puzzle consists of thirteen polycubic pieces: twelve pentacubes and one tetracube. The objective is to assemble these pieces into a 4 x 4 x 4 cube. There are 19,186 distinct ways of doing so, excluding rotations and reflections.

Although the Bedlam cube is essentially just the logical next step up from the 3 x 3 x 3 Soma cube, it is much more difficult to solve.

The Bedlam puzzle company was to be successfully invested in by two of the BBC2 'dragons', Rachel Elnaugh and Theo Paphitis during the second series of Dragons' Den, but Danny Bamping (the entrepreneur behind Bedlam cube) finally chose a bank loan instead of their investment, as seen in the relevant "Where Are They Now" episode of Dragons' Den.

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