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The Soma cube and the Bedlam cube are examples of packing problems based on polycubes.
Bedlam Cube Demo Software.
The Bedlam cube is a solid dissection puzzle invented by British puzzle expert Bruce Bedlam.
Two of the BBC's 'Dragons' from Dragons' Den, Rachel Elnaugh and Theo Paphitis, were to invest in the Bedlam cube during the second series.
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.
His strategy was successful, as the show generated enough publicity to boost online sales of his Bedlam cube, increasing from his then current sales tally of 23 to 4,500 sales on the days after the show's airing.