Both stories begin with pursuit, the dreaming mind chasing a rabbit in one, passing through the mirror of quotidian reality in another. The door out opens through language, both a prison and the key to escape. Carroll states his intent in the preface to Through the Looking Glass:
These magic words shall hold thee fast
I'll have a little intro to each section in prose, but will mostly let the pictures speak for themselves, with brief quotes from Lewis Carroll. I may post one or two more of the intros here, but will mostly reserve them for the book.