One of the most important parts of the Cylinder as I have presented it is coming up with the goal words and the start. A logical question would be, can you find five words that are all pairwise five links apart, that is, can we find five words that use 25 different letters? I wonder if Google has an answer for this… the last time I checked, no one had done it, to my knowledge. The question is difficult to generalize, because no other number of letters offers a comparable challenge. Maybe I could say, can we find five six-letter words that use all 26 letters? (This also sounds super tough to me.)
But that’s not a puzzle, and I promised you a puzzle! So here’s something you can think about. Can you find six four-letter words that use 24 separate letters? I was able to complete this challenge last year, and to my knowledge everyone to whom I’ve shown this puzzle has not been able to do it (I may be wrong about this). But I know I’ve done it. And I’ll let you think about it for a little bit; then I’ll post my solution as a comment to this entry in about a week. The real challenge is finding the right word that uses the letter Y as the vowel. You might try a feline… that’s all the help I’ll give. Good luck.