Edie is thinking about magic, because what else do you do with your spare time when the good part of a book isn't calling you with its siren song?
Her thoughts are interrupted by a knocking on her door. She gets up to answer it.
Deadpan: "No, see, corners have two walls, you will have to find a round alcove to be twinless in."
"I'll find a completely round room and found my twinless club and everyone else here will join it!"
"I wouldn't want to identify as twinless if I happened to be in a different city from Edie."
"Yes, and if there isn't one I shall plead with an outrageously rich alumnus for one to be built."