Crossword puzzles use a grid of black and white squares that traditionally obeys the following rules.
1. Every word (a string of consecutive white squares in a row or column) has at least 3 letters (white squares). Each letter is part of a word going across and a word going down, and there are no 2-letter words.
2. The grid is symmetrical. It is the same upside-down.
3. The grid is connected. Between any two white squares, there is a path of white squares that only goes horizontally and vertically.
What is the most words possible in a crossword puzzle with 15 rows and 15 columns? Find a 15*15 crossword grid with the maximum number of words.
(In reply to re(2): My Attempt
by Math Man)
This is almost the same, but still just 94
(I have a program that hunts for higher ones - but the
new solutions keep being mentioned here in posts ahead
of the program :-)
The program takes 3 inputs: min blocks by row 8, min blocks
per row and max blocks per row. But it takes a while to
complete. I am looking a little further just in case.
Edited on June 8, 2019, 6:46 pm