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