All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Present in 6 (Posted on 2007-04-25)
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.

 See The Solution Submitted by brianjn Rating: 4.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Abbreviated notation shortens list | Comment 9 of 13 |
(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

aye  age  ago
yen  den  don

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

aye  age  ago
yen  den  don

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

aye  age  ago
yen  den  don

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

aye  age  ago
yen  den  don

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

aye  age  ago
yen  den  don

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

 Posted by Charlie on 2007-04-26 10:53:22

 Search: Search body:
Forums (0)