Have you read Jeffrey Weeks' The Shape of Space before? What a great book! It explores the geometry of spheres, tori, Möbius strips, Klein bottles, projective planes and other spaces in an engaging, this-is-definitely-not-a-textbook kind of way. Other topics include: gluing, orientability, connected sums, Euler number, hyperspace, bundles, and more! (Have I whet your appetite yet?!)
What's better, The Shape of Space is accessible at even the high school level and thus is extremely readable. But whether you're in a graduate course in algebraic topology or you have yet to learn what topology is, the book is a really great read at any level.
Check it out!