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11 votes
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Packing 25 three-dimensional N pentominoes into a 5x5x5 cube

You can solve the problem via integer linear programming as follows. For each of the $960$ placements $p$ of a piece, let $C_p \subset [5] \times [5] \times [5]$ be the set of cells covered by $p$, ...
RobPratt's user avatar
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1 vote

Packing 25 three-dimensional N pentominoes into a 5x5x5 cube

I like to use burrtools for this type of 3D packing problem. Define two entities, one for your piece and one for the 5x5x5 box Define a new puzzle, marking the box as the 'Result' and adding 25 ...
Quantum7's user avatar
  • 111

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