Flatterland is a 2001 book by mathematician and science popularizer Ian Stewart about non-Euclidean geometry. It was written as a sequel to Flatland, an 1884 novel that discussed different dimensions.
Plot
Almost 100 years after A. (which we find out stands for Albert) Square's adventures in Spaceland that were related in Flatland, his great-great-granddaughter, Victoria Line, finds a copy of his book in her basement. This prompts her to invite a visitor from Spaceland to visit her, but instead she is visited by the "Space Hopper" (a character looking somewhat like a children's toy with a gigantic grin, horns and a spherical body). The Space Hopper, more than being able to move between Flatland and Spaceland, can travel to any space in the Mathiverse, a set of all imaginable worlds. After showing Vicky higher dimensions, he begins showing her more modern theories, such as fractional dimensions and dimensions with isolated points. Topology and hyperbolic geometry are also discussed, as well as the Projective "Plain" (complete with intersecting lions) and the quantum level. Hopper and Victoria also visit the Domain of the Hawk King to discuss time travel and the Theory of Relativity.
Humor
Ian Stewart often includes puns and topical references in his popular writing, and "Flatterland" is no exception. For example, the heroine's name, Victoria Line, is a line on the London Underground, while her great-great grandfather's name is the fictional Albert Square in London, from the BBC soap opera EastEnders. Hawk King is a simple pun on the surname of the famous astrophysicist Stephen Hawking, whose research includes the Theory of Relativity.
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