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.

      1    2    3    4    5
TRY  WRY  WRY  WAY  WAY  WAW
RYE  RYE  RYE  AYE  AYA  AWA
YES  YES  YEW  YEW  YAW  WAW

wry - ironically humorous, scornful and mocking
yew - an evergreen tree or shrub having red cup-shaped berries and flattened needlelike leaves
aya - a verse of the Koran
yaw - swerve off course
Awa - a people group in the Eastern Highlands Province of Papua New Guinea
waw -(an alternate spelling, vav) the 6th letter of the Hebrew alphabet

Two more in 5, if symmetry can be extended to include left to right.

      1    2    3    4    5
TRY  TRY  TAY  TAG  TAG  GAG
RYE  RYE  AYE  AGE  AGA  AGA
YES  YET  YET  GET  GAT  GAG

tay - a branch of the Tai Languages
aga - a title for a civil or military leader (especially in Turkey)
gat - a gangster's pistol
      1    2    3    4    5
TRY  TRY  TAY  TAV  TAV  VAV
RYE  RYE  AYE  AVE  AVA  AVA
YES  YET  YET  VET  VAT  VAV

tav -  the 23rd of the Hebrew alphabet
ava - (an alternate spelling, kava) - a narcotic drink made from the polynesian bush, the kava (Piper methysticum)
vav - (an alternate spelling, waw) the 6th letter of the Hebrew alphabet

Edited on April 26, 2007, 8:38 am

Posted by Dej Mar on 2007-04-26 01:46:56