|Feb7-06, 05:14 PM||#1|
So, for whatever reason, I got to thinking. Let's suppose you have a 4 letter word, say "tile". You change one letter to make a new word, "mile", and then again to "mild", and then "mold", etc. How many iterations would you need in order to use *every* letter of the alphabet (in the above I've used only D,E,I,L,M,O, and T), without repeating a word twice?
It took me 32 words to achieve this, and theoretically, it's possible within only 23 words. I'm sure someone can do better. Anyone?
|Feb7-06, 09:54 PM||#2|
Note: Obviously, this is 1 worse than the theoretical best. In particular, the letter "e" is repeated. It first appears in MANE then disappears after CURE, only to reappear three words later in FUEL and then disappear after SUET.
|Feb9-06, 02:57 PM||#3|
I actually couldn't resist the urge, and fed it into a program, which was able to find a whole bunch of solutions using 23 words. Of course, the word list I used included some words that weren't fit for posting (go figure that it tried to use one of them a *lot*), so using a tamer word list, I got:
(All words were found in the Scrabble online dictionary, so I'm calling it good!)
|Feb22-06, 04:09 AM||#4|
I don't know if this is correct, but let me try it...here's my list:
|Feb22-06, 10:26 AM||#5|
The idea is to make a list of size 23, but use all the letters. Right away, I see you don't need "mere" at the end, since all it does is introduce an "m", which you've already done when you had "dome". You also use "sire" twice, and the second time is entirely unnecessary (you don't need it to go from "hire" to "tire") so you can get rid of that. On the other hand, you don't appear to have used the letters 'y' and 'x', so it's not even complete yet.
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