Conway puzzle

Pieces used in the Conway puzzle, one of each kind.

Conway's puzzle 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

A possible placement for the three 1×1×3 blocks.

The solution of the Conway puzzle is straightforward when one realizes 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]

See also

• Slothouber–Graatsma puzzle
• Soma cube

External links

• The Conway puzzle in Stewart Coffin's "The Puzzling World of Polyhedral Dissections"

References

1. ^ "Conway Puzzle". Wolfram MathWorld. http://mathworld.wolfram.com/ConwayPuzzle.html. Retrieved 2007-03-14. 
2. ^ Elwyn R. Berlekamp, John H. Conway and Richard K. Guy: Wining ways for your mathematical plays, 2nd ed, vol. 4, 2004.

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