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According to alphabetic string theory, the words we see are merely the visible portions of highly convoluted loops of multi-dimensional alphabetic string.

For example, here is what we see in our space-time:

example_word


But if we were able to perceive the entire loop of multi-dimensional alphabetic string, it would look something like this:

example_solution


In case you're having trouble seeing the alphabetic loop, here it is annotated:

example_solution_annotated


Are you ready for your PhD in alphabetic string theory? See if you can show the entire alphabetic loop for this word:

challenge_word


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  • $\begingroup$ Do we need to stay within the black rectangle? Or even stay within a one-tile border like the example? $\endgroup$
    – xnor
    Dec 26, 2023 at 21:41
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    $\begingroup$ @xnor — You may assume that the black region is unbounded and extends infinitely. $\endgroup$
    – SlowMagic
    Dec 26, 2023 at 22:35
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    $\begingroup$ @Simd — At the very least, the word cannot use any letter more than once, and the letters must be appropriately spaced within the word. For example, the word REALIST won't work because the R and the S are too far apart. Beyond those two conditions, I'm not sure yet. I am currently running my solver on all the words which meet the two conditions to see if any of them don't generate a solution. Then we can explore why. $\endgroup$
    – SlowMagic
    Dec 27, 2023 at 14:20
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    $\begingroup$ There are more conditions to make this solvable, for example the 'word' AFKDIN doesn't allow an alphabetic string because while you could connect the A-D, F-I and K-N individually, you can't put all three paths without intersections. Unfortunately AFKDIN is not in any dictionary but there may be proper dictionary words that have this problem as well. $\endgroup$
    – quarague
    Dec 27, 2023 at 16:25
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    $\begingroup$ @happystar — I'm starting to see some words with problems: BAKESHOP, LAYOVERS, OUTREACH. Alphabetic String Theory might be on shaky ground here..... $\endgroup$
    – SlowMagic
    Dec 27, 2023 at 22:58

1 Answer 1

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I present: Hazelnut string theory!

enter image description here

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  • $\begingroup$ Very nice, though there does seem to be a bit of uncertainty there. $\endgroup$ Dec 26, 2023 at 23:59
  • $\begingroup$ @DanielMathias in what way? $\endgroup$ Dec 27, 2023 at 0:12
  • $\begingroup$ OPQR could also be below, WX has multiple connection possibilities. $\endgroup$ Dec 27, 2023 at 0:19
  • $\begingroup$ @DanielMathias ahh gotcha, yep there's a couple different ways to solve, I think the rough idea remains the same though, a lot of the above is forced $\endgroup$ Dec 27, 2023 at 0:41
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    $\begingroup$ The given solution lacks an abstract and list of references to other related puzzles on PSE. Other than that, good job! $\endgroup$
    – happystar
    Dec 27, 2023 at 2:04

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