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The King takes a long walk


Best Answer bonanova, 21 June 2014 - 05:22 AM

Spoiler for Putting this puzzle to bed

Go to the full post


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14 replies to this topic

#11 plasmid

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Posted 09 May 2014 - 02:11 PM

Ok, asking for the solution for an 8x2 grid seemed that you were suggesting he repeat this four times, minus one move at the end, to visit every square with only eight non-diagonal moves. But since I have yet to encounter a cylindrical chess board, this won't fly.
Spoiler for not it

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#12 bonanova

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Posted 09 May 2014 - 05:49 PM

yeah, everything you said. the comment was to suggest the obtainable degree of diagonal moves.


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#13 bonanova

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Posted 17 May 2014 - 10:35 AM

Assuming that

 

1) The king starts from e8 (the normal starting position for the black King) and

2) Every square is to be visited only once

 

Spoiler for the longest path I could find so far

 

Four fewer lateral moves is possible.


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- Bertrand Russell

#14 bonanova

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Posted 20 May 2014 - 02:50 PM

Ok, asking for the solution for an 8x2 grid seemed that you were suggesting he repeat this four times, minus one move at the end, to visit every square with only eight non-diagonal moves. But since I have yet to encounter a cylindrical chess board, this won't fly.

Spoiler for not it

 

But it is the right idea.

The minimum number (8) of adjacent steps can be maintained as small parts of

the four rectangles are minimally changed to effectively stitch them together.


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#15 bonanova

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Posted 21 June 2014 - 05:22 AM   Best Answer

Spoiler for Putting this puzzle to bed


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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