Well, the inimitable and always ingenious Douglas Hofstadter has responded to the challenge. His ambigram is a right-left reflection, which accurately represents Alice's journey, and also takes advantage of the central symmetry of both "Lewis" and "Carroll."
Most readers will know Hofstadter from his hugely popular Godel, Escher, Bach. My favorite of his books is Le Ton beau de Marot: In Praise of the Music of Language.
Thanks, Doug.
