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词条 Conway puzzle
释义

  1. Solution

  2. See also

  3. References

  4. External links

Conway's puzzle, or blocks-in-a-box, is a packing problem using rectangular blocks, named after its inventor, mathematician John Conway. It calls for packing thirteen 1 × 2 × 4 blocks, one 2 × 2 × 2 block, one 1 × 2 × 2 block, and three 1 × 1 × 3 blocks into a 5 × 5 × 5 box.[1]

Solution

The solution of the Conway puzzle is straightforward once one realizes, based on parity considerations, that the three 1 × 1 × 3 blocks need to be placed so that precisely one of them appears in each 5 × 5 × 1 slice of the cube.[2] This is analogous to similar insight that facilitates the solution of the simpler Slothouber–Graatsma puzzle.

See also

  • Soma cube

References

1. ^{{MathWorld | urlname=ConwayPuzzle | title=Conway Puzzle}}
2. ^Elwyn R. Berlekamp, John H. Conway and Richard K. Guy: winning ways for your mathematical plays, 2nd ed, vol. 4, 2004.

External links

  • The Conway puzzle in Stewart Coffin's "The Puzzling World of Polyhedral Dissections"
{{Packing problem}}{{Mathapplied-stub}}

4 : Packing problems|Recreational mathematics|Tiling puzzles|Mechanical puzzle cubes
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