a list compiled by Alex Kasman (College of Charleston)
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For his contribution to the first "Thieves' World" collection, Poul Anderson contributed a fantasy story about an illustrated scroll which forms a gateway between dimensions. As the story progresses, there are a few clues indicating that mathematics will play a role. Jamie CAppen, a "rationalist" who is skeptical of magic, claims he can demonstrate some tricks as well:
When the gateway between universes is being explained to Cappen, references are made to "the theory of dimensions, the subtler aspects of geometry." The resolution should be obvious to most readers at this point, but if it is not, I urge you to stop reading now before I get to the "spoiler" below if you have any interest in reading Anderson's cute story. Of course, the solution to the problem posed by this gateway between universes (and the punchline to the joke that this story represents) occurs when Cappen takes the scroll and forms it into a MÃ¶bius band so that it no longer has two sides (one in each universe), but rather becomes a singlesided surface. 
More information about this work can be found at www.amazon.com. 
(Note: This is just one work of mathematical fiction from the list. To see the entire list or to see more works of mathematical fiction, return to the Homepage.) 

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Exciting News: The 1,600th entry was recently added to this database of mathematical fiction! Also, for those of you interested in nonfictional math books let me (shamelessly) plug the recent release of the second edition of my soliton theory textbook.
(Maintained by Alex Kasman, College of Charleston)