Make sure to show the Geometry Center movie "Not Knot".
Someone suggested "Gödel, Escher, Bach" which is a fun book but way too long. Some reading from Torkel Franzén's book "Gödel's Theorem: An Incomplete Guide to its Use and Abuse" might be a better choice. Discussing Gödel's theorem does seem like a good idea.
(Added later): I guess someone should mention Logicomix. It keeps getting recommended in other places. It looks interesting but I haven't read it myself yet.
I liked James Gleick's popular book "Chaos". It describes the discovery of the Lorenz attractor and all that good stuff.
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