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EsX_Raptor
United States2801 Posts
![[image loading]](http://i53.tinypic.com/1ys383.png) Which arrangement of dominoes can cover the entire chessboard? + Show Spoiler [Solution] + aphorism is right. Damn you, Teamliquid! I was expecting a solution at least by the third response or so!    | ||
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aphorism
United States226 Posts
+ Show Spoiler + None: each domino must cover one white square and one black one, but the modified board has 32 black squares and only 30 white ones, so no arrangement works. | ||
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Mikilatov
United States3897 Posts
On August 05 2011 07:09 aphorism wrote: Solution: + Show Spoiler + None: each domino must cover one white square and one black one, but the modified board has 32 black squares and only 30 white ones, so no arrangement works. + Show Spoiler + I tried it like 3-4 times and failed. =P If it is indeed unsolvable as you say, then I hate you, OP. | ||
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XXGeneration
United States625 Posts
On August 05 2011 07:09 aphorism wrote: Solution: + Show Spoiler + None: each domino must cover one white square and one black one, but the modified board has 32 black squares and only 30 white ones, so no arrangement works. + Show Spoiler + This is correct; I remember this as being the proper explanation for these types of problems. | ||
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Primadog
United States4411 Posts
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GigaFlop
United States1146 Posts
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Monoxide
Canada1190 Posts
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infinitestory
United States4053 Posts
+ Show Spoiler + heh | ||
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Z3kk
4099 Posts
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3FFA
United States3931 Posts
On August 05 2011 07:05 EsX_Raptor wrote: We have a chessboard with the two opposing corners removed, and we have a set of dominoes shaped such that each domino covers exactly two squares: Which arrangement of dominoes can cover the entire chessboard? + Show Spoiler [Solution] + aphorism is right. Damn you, Teamliquid! I was expecting a solution at least by the third response or so! Lol... This place is full of nerds, geeks, other smart dudes, chess lovers, puzzle solving lovers, etc. And you expected for this to work? :3 | ||
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