Conway puzzle: Difference between revisions
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==Solution== |
==Solution== |
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[[Image:Conway puzzle partial solution.png|thumb|A possible placement for the three 1×1×3 blocks.]] |
[[Image:Conway puzzle partial solution.png|thumb|A possible placement for the three 1×1×3 blocks.]] |
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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.<ref>Elwyn R. Berlekamp, John H. Conway and Richard K. Guy: |
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.<ref>Elwyn R. Berlekamp, John H. Conway and Richard K. Guy: winning ways for your mathematical plays, 2nd ed, vol. 4, 2004.</ref> |
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==See also== |
==See also== |
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==References== |
==References== |
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<references/> |
<references/> |
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[[Category:Discrete geometry]] |
[[Category:Discrete geometry]] |
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[[Category:Tiling puzzles]] |
[[Category:Tiling puzzles]] |
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Revision as of 00:10, 21 January 2012
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
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
External links
References
- ^ "Conway Puzzle". Wolfram MathWorld. Retrieved 2007-03-14.
- ^ Elwyn R. Berlekamp, John H. Conway and Richard K. Guy: winning ways for your mathematical plays, 2nd ed, vol. 4, 2004.
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