Luke's bean plant, the source of much tribulation the last term of school, during which everyone else's bean plant sprouted and his did not, is now blooming and growing leetle tiny beans! Oh jubilation! (This is, in fact,the second bean he planted. The first never did grow, presumably as the result of much anxious over-watering.)
I know this sounds crazy, but I do believe those leetle tiny beans appeared overnight. Now I understand why it was Jack and the beanstalk and not, say, Jack and some other stalkish vegetable.