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Crossword Puzzles

Solving crossword puzzles through an exhaustive search.

Examples

#####15 x 15 grid Example 1

5 x 5 grid (fluke)

Example 2

7 x 12 grid

Example 3

To-do

Minor

  • Make code neater / rename functions.

  • Timing analysis: plot a graph of number of row & columns against time taken to solve puzzle.

  • Result analysis:

  • What effect does adding more vowels to the grid have on the results? (Using RandomChoice[CharacterRange["A", "Z"]] to generate grid yields mostly three-letter words.)

  • How can the grid be generated such that it yields more results longer than three letters?

  • How to visualise palindromes and repeated words.

Major

  • Try 3-dimensional solving (3D graph) and visualise, distinctly, "streams," or lines connecting letters that form words. In 3D, the four-colour visualisation system will no longer work.

  • Try solving actual cross-word puzzles.

  • Try to device a learning mechanism which can be used to make solving future puzzles easier.

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Solving crossword puzzles through an exhaustive search.

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