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Walking man's delight

15 replies to this topic

#11 bonanova

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Posted 15 May 2013 - 06:00 PM

on the graphic, 7 and 8 are inverted, also it seems the 6.083 distance whould have been 6.325

Spoiler for my take on it

Xavier is correct on both counts. I've modified the OP.  Square root of 40 is 6.325.

Edit: both of these paths are just shy of optimal.

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#12 bonanova

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Posted 15 May 2013 - 06:09 PM

Spoiler for I think

Spoiler for Close but

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

#13 bonanova

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Posted 15 May 2013 - 06:14 PM

Spoiler for First Guess

BG has the longest (non-returning) path.

I have marked the puzzle solved, but we still have the longest (closed-loop) path to determine.

(Post solutions in terms of the corrected 7-8 numbering and corrected 6.325 distance.)

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#14 BobbyGo

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Posted 15 May 2013 - 09:04 PM

Spoiler for Second Guess

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#15 bonanova

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Posted 15 May 2013 - 09:21 PM

Spoiler for Second Guess

You have the longest non-returning path.

The returning path can be slightly longer.

I'm not sure which order of 7 and 8 you are using, but I see one path that is too short to use.

There are no (chess) Knight moves, like 7-5 and 2-8 (using the correct 7 8 labeling).

If you are using the original 8 7 labeling you are not using knight moves, but too many 1-4 type moves.

Clue for those still working on this the longest total length is 47.97, and from that you can get the distribution of city-city distances used, and work out the path.

Try my next, harder puzzle just posted.

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

#16 BobbyGo

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Posted 15 May 2013 - 09:30 PM

Spoiler for Second Guess

You have the longest non-returning path.

The returning path can be slightly longer.

I'm not sure which order of 7 and 8 you are using, but I see one path that is too short to use.

There are no (chess) Knight moves, like 7-5 and 2-8 (using the correct 7 8 labeling).

If you are using the original 8 7 labeling you are not using knight moves, but too many 1-4 type moves.

Clue for those still working on this the longest total length is 47.97, and from that you can get the distribution of city-city distances used, and work out the path.

Try my next, harder puzzle just posted.

Doh... mixed up 7 and 8 on the returning...

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