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.

(In reply to re(2): Asides 2: Example (solution) by Dej Mar)

Interesting again.

I do have sense of correctness in my prior assertion.  There is a French word"hote" which has meanings associated with host, landlord, innkeeper, publican but can also refer to guest, lodger, traveller, inhabitant.

Clearly both are unlikely to have a direct association.

Posted by brianjn on 2007-04-29 01:45:20