The triple of words LIES, SEAM, MAIL has a property that the first half of each word is the reflection of the second half of the previous word in the list (wrapping around last to first at the end).
Are there more triples like this?
How long of a list can be constructed?

For five letter words DEVIL, LIMIT, TIMED comes close, with the V in DEVIL not matching the middle Ms in the other words.
Does a proper five letter triple exist?
What about six letter words (Halves of three letters)?

(In reply to re: computer exploration by Charlie)

Charlie,
I did note in my previous comment that you hadn't addressed 6-letter words.  I see that you jumped from 5 to 7., I presume an oversight (I only found one example with my PnP playing, and the initial word seems to a little obscure).

Posted by brianjn on 2013-02-22 19:08:57