Topology and Geometry of Surfaces

This series of pages aims to introduce you, the curious reader, to the topology and geometry of 2 dimensional spaces. Along the way we'll meet spaces where triangles have more than 180 degrees, where walking forward in any direction brings you back to where you started flipped, and strange bottles that hold no water. And of course a few cyclopses.

  1. Flat Life
  2. The Klein Bottle and a Mystery Surface
  3. Surfaces Classified
  4. Geometries of Surfaces
  5. The Euler Characteristic
  6. References