In this grid horizontal and vertical words are symmetrical about the upper left to lower right diagonal.

This grid is to be reformed by replacing all letters in 6 steps having regard to symmetry, changing one letter at a time and using only English words.

While my solution reflects my title at which you might not arrive, can you at least publish a new grid under my rules?

Asides:
1. Show us any 3 x 3 grids which you have composed from a significantly different initial grid and their development.
2. Beginning with a 4 x 4 grid is it possible to arrive at a new grid, same rules, in 10 steps?

NOTE:
Because of the nature of the language - "English words" - is a difficult phrase to define. If a word seems to need justification then please do so; challenges are otherwise likely.

Unlike Charlie, where he only alters up to two of the same letter in a step, I took the meaning as to change "all letters" of the same character in each step as well as that the resulting 3x3 set of letters must end up with a different set of letters than at the start.

Some of the meanings of "present" can be "are", "aye", "now" and "yet". My solution in FIVE steps does not end with any of these; and, but for "now", only visits two of these other words that can mean "present".

try  pry  pay  pay  pad  pad  
rye  rye  aye  aye  ade  ado 
yes  yes  yes  yen  den  don 
 
try  pry  pry  pay  pad  pad 
rye  rye  rye  aye  ade  ado
yes  yes  yew  yew  dew  dow

Posted by Dej Mar on 2007-04-25 21:11:26