(puzzles in geometry that I know and love)


Problems for the graduate students who want to improve their problem-solving skills in geometry.

I am collecting these problems for fun. Every problem has a short elegant solution — this gives a hint that was not available when it was solved for the first time.

Table of contents:

1. Curves
2. Surfaces
3. Comparison geometry
4. Curvature-free differential geometry
5. Metric geometry
6. Actions and coverings
7. Topology
8. Piecewise linear geometry
9. Discrete geometry

Please email me corrections and also new problems which might be good for this list.

The book can be downloaded at AMR and arXiv; a paper version is available at amazon.

The source files can be used as you want; see the license below.