ch. 1. What is the hyperbolic plane? Can we crochet it? -- chapter 2. What can you learn from your model? -- chapter 3. Four strands in the history of geometry -- chapter 4. Tidbits from the history of crochet -- chapter 5. What is non-Euclidean geometry? -- chapter 6. How to crochet a pseudosphere and a symmetric hyperbolic plane -- chapter 7. Metamorphoses of the hyperbolic plane -- chapter 8. Other surfaces with negative curvature : catenoid and helicoid -- chapter 9. Who is interested in hyperbolic geometry now and how can it be used?