In this grid horizontal and vertical words are symmetrical about the upper left to lower right diagonal.
T R Y
R Y E
Y E S
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: so many ways by Charlie)
In the lists below, I show only the sequence of words for each row, without regard for the order in which they appear. As a result the sets do not show actual states of the grid. For example, in the first case, the transition from try to cry comes before the transition from rye to aye, but the partially changed state is not shown. The great advantage of this notation is that, in this example, while cry changes to cay and rye to aye at the same step, as does the age to ago with yew to yow, the order of the pairs of changes need not be same, so we don't need two lines of solution. So the road to now now takes only 8 versions rather than 45.
cry cay cab
aye age ago
yew yow bow
cry cay cad
aye age ago
yen den don
cry cay cad
aye age ago
yen yon don
cry cay cam
aye age ago
yew mew mow
cry cay cam
aye age ago
yew yow mow
cry cay can
aye age ago
yet net not
cry cay can
aye age ago
yew new now
cry cay can
aye age ago
yew yow now
cry cay cap
aye age ago
yet pet pot
cry cay cap
aye age ago
yew pew pow
cry cay cap
aye age ago
yew yow pow
cry cay car
aye age ago
yet ret rot
cry cay car
aye age ago
yew yow row
cry cay cat
aye age ago
yen ten ton
cry cay cat
aye age ago
yen yon ton
cry cay cat
aye age ago
yew yow tow
cry cay caw
aye age ago
yen wen won
cry cay caw
aye age ago
yen yon won
cry cay caw
aye age ago
yew yow wow
dry day dab
aye age ago
yew yow bow
dry day dad
aye age ago
yen den don
dry day dad
aye age ago
yen yon don
dry day dag
aye age ago
yet get got
dry day dam
aye age ago
yew mew mow
dry day dam
aye age ago
yew yow mow
dry day daw
aye age ago
yen wen won
dry day daw
aye age ago
yen yon won
dry day daw
aye age ago
yew yow wow
fry fay fad
aye age ago
yen den don
fry fay fad
aye age ago
yen yon don
fry fay fag
aye age ago
yet get got
fry fay fan
aye age ago
yet net not
fry fay fan
aye age ago
yew new now
fry fay fan
aye age ago
yew yow now
fry fay far
aye age ago
yet ret rot
fry fay far
aye age ago
yew yow row
fry fay fat
aye age ago
yen ten ton
fry fay fat
aye age ago
yen yon ton
fry fay fat
aye age ago
yew yow tow
fry fey fed
eye ere era
yew dew daw
fry fey fed
eye ere era
yew yaw daw
fry fey fem
eye ere era
yet met mat
fry fey fem
eye ere era
yew mew maw
fry fey fem
eye ere era
yew yaw maw
fry fey fen
eye ere era
yew new naw
fry fey fen
eye ere era
yew yaw naw
fry fey few
eye ere era
yen wen wan
pry pay pad
aye age ago
yen den don
pry pay pad
aye age ago
yen yon don
pry pay pal
aye age ago
yet let lot
pry pay pal
aye age ago
yew yow low
pry pay pam
aye age ago
yew yow mow
pry pay pan
aye age ago
yet net not
pry pay pan
aye age ago
yew new now
pry pay pan
aye age ago
yew yow now
pry pay pap
aye age ago
yet pet pot
pry pay pap
aye age ago
yew pew pow
pry pay pap
aye age ago
yew yow pow
pry pay par
aye age ago
yet ret rot
pry pay par
aye age ago
yew yow row
pry pay pas
aye age ago
yew yow sow
pry pay pat
aye age ago
yen ten ton
pry pay pat
aye age ago
yen yon ton
pry pay pat
aye age ago
yew yow tow
pry pay paw
aye age ago
yen wen won
pry pay paw
aye age ago
yen yon won
pry pay paw
aye age ago
yew yow wow
wry way wad
aye age ago
yen den don
wry way wad
aye age ago
yen yon don
wry way wag
aye age ago
yet get got
wry way wan
aye age ago
yet net not
wry way wan
aye age ago
yew new now
wry way wan
aye age ago
yew yow now
wry way war
aye age ago
yet ret rot
wry way war
aye age ago
yew yow row
wry way was
aye age ago
yen yon son
wry way was
aye age ago
yet set sot
wry way was
aye age ago
yew sew sow
wry way was
aye age ago
yew yow sow
wry way was
aye ale alp
yea sea spa
wry way was
aye are ark
yea sea ska
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Posted by Charlie
on 2007-04-26 10:53:22 |
Abbreviated notation shortens list
