Rereading my favourite Lewis Carroll collection this morning, I was struck by the idea for a very decidedly "on-topic" challenge. Carroll invented the game of changing one word into another, one letter at a time. One example was "witch" into "fairy" My challenge is this: Below are three of his "Doublets", with the number of intermediate words he used. Beat him!

Turn WITCH into FAIRY (12 links)
Put ROUGE on CHEEK (16 links)
Make WINTER SUMMER (13 links)

The prize will be a list of six impossible things to be believed before breakfast. There will be a consolation prize of glory (Humpty's definition) for any who happen to use the same words that Carroll did. A link to the original solutions will be posted in one week, or when we have a winner, whichever comes first. Also, please remember that, under rule No. 42, all persons more than a mile high must leave the court.