# Conway puzzle

From HandWiki

__: Three-dimensional packing problem__

**Short description****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

- ↑ Weisstein, Eric W.. "Conway Puzzle". http://mathworld.wolfram.com/ConwayPuzzle.html.
- ↑ Elwyn R. Berlekamp, John H. Conway and Richard K. Guy: winning ways for your mathematical plays, 2nd ed, vol. 4, 2004.

## External links

Original source: https://en.wikipedia.org/wiki/Conway puzzle.
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