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・ Conway MacMillan
・ Conway Marsh railway station
・ Conway Methodist Church
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・ Conway National Park
・ Conway notation
・ Conway notation (knot theory)
・ Conway Olmstead
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・ Conway polyhedron notation
・ Conway polynomial
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・ Conway Pretorius
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Conway puzzle
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・ Conway Savage
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・ Conway School of Landscape Design


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Conway puzzle : ウィキペディア英語版
Conway puzzle

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.
==Solution==

The solution of the Conway puzzle is straightforward when 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.〔Elwyn R. Berlekamp, John H. Conway and Richard K. Guy: winning ways for your mathematical plays, 2nd ed, vol. 4, 2004.〕 This is analogous to similar insight that facilitates the solution of the simpler Slothouber–Graatsma puzzle.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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