Cylinder-related puzzle!

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.

Yesterday's Cylinder

So we sprung* a flat tire on the way back from Copeland, and in the car we completed a five-letter cylinder and then thereafter completed a six-letter cylinder, which I shall post hereafter.  I will leave the five-letter game, SPANK CREEP RINSE GNOME, starting with CAUSE, as a game for the reader if he might like to attempt to play a game.

*I have decided that the verb associated with a flat tire is “to spring.”  Is this right?  What do other people say?

SWEATS CADDIE ORNERY LAMBDA
---------------------------
MOBILE     BAILED     CADDIE
BOILED     BLAMED     CANDID!
SOILED     λαμβδα!    ADDING
SAILED     BALLAD     DARING
SALTED     BALLED     RAINED
SLATES     WALLED     WARNED
SWEATS!    WILLED     WONDER
WHEATS     TILLED     YONDER
THAWED     TAILED     ORNERY!
BATHED     RAILED
BAITED     RAIDED

The Transadditional Cylinder

I think it makes the most sense to just pick it up from the middle.  I was pretty much forced into creating this by Nelson when I taught him the wordplay exercise that follows.  As I see it right now, the plan is to, over time, introduce all of the games that have become part of my canon and note the totally unnecessary research that I’ve done in the past.

So, first, the promised game.  This game was in some way conceived from Mr. Coyle’s Transadditional Pyramid, which deserves its own entry and will get one later.  It began as an exercise in chaining five-letter words together: CRASH to SHARD to HARDY and so on.  So you’re allowed to change one letter and rearrange the remaining ones.  There’s no real restriction on making “cheap” changes like PORED to PORES, but I generally attempt to avoid them.  You’re never allowed to repeat a word that’s already appeared in the chain.

What you’ll find when you do this is that it goes on forever.  Which is neat.  But generally uninteresting from a gaming perspective.  So then (maybe it was Mike or Thom that came up with this) we decided that we would force certain words to be in the list.  The idea originally was to create a tug-of-war kind of game, where I would be trying to make one word and my opponent is trying to make another, and we’re using the same chain — but this doesn’t make sense even in theory, because keeping the letters of the opponent’s word out of the chain would be very simple.  To my knowledge a varient of this game that revolves around that concept has never been created.

What we instead have patented is the following process: Before beginning the game, the player decides upon five five-letter words (serious people play with six but I’ll phrase the rules in terms of five).  These words must differ from each other by at least three letters.  So you’re not allowed to use the words PARCH and CHARM as two of your five words.  (This winds up being quite a challenge in itself!)  Four of your words are the goal words; the fifth is your start.  You must create a chain that contains all four of the goal words beginning with your start word.  There is no score for the game; you assess your game when it is over by either deciding victory or otherwise.  I’m sure you could find the shortest path through them if you really wanted to, but that’s not really the point in my mind.  To this end I try to avoid erasing plays unless I see no other way to finish the game.

Here’s the game I played that I showed Nelson (circa 05.12.22).  Hopefully you can pick up on my notation very rapidly.

WHIRL OBOES PERKY CHARM
------------------------
EXIST		SPARK		WORST		RABID
TIRES		SPRAY		WROTH		BARED
HIRES		PREYS		WHORL		BORED
HARES		PERKY!		WHIRL!		BORES
HAREM		PERKS		TWIRL		OBOES!
CHARM!		PARKS		TRILL
HARMS		PARTS		TRAIL
SHARK		WARTS		TRIAD