Yooklid

Amusement and the Art of Mathematics

SOLUTION – Langford’s Problem

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Merry Christmas everybody! On 12/23/2010 I wrote about a curious puzzle called Langford’s Problem. I asked the reader to try to arrange four pairs of different colored blocks such that one block was between a pair of blocks of color A, two blocks between a pair of blocks of color B, three blocks between a pair of blocks of color C, and finally four blocks between a pair of blocks of color D.

The unique solution is: DACABDCB.

There are 26 solutions to the 7 pair problem. Using numbers to represent block colors, here is one solution I came up with: 73625324765141.

Check out this link if you are interested in exploring the problem in greater detail:

http://legacy.lclark.edu/~miller/langford.html

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Written by prathap sridharan

December 26, 2010 at 5:28 am

Posted in riddles, solutions

One Response

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  1. [...] going to post this puzzle tomorrow but I realized that leaving the inquisitive readers with just a solution to Langford’s problem would be very ill mannered. So here we go again! This one, like many others I will write about, [...]

    Blue-Empty Graph « Yooklid

    December 26, 2010 at 5:46 am


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