Acknowledgements
Introduction

1. The hidden world of triangles
2. Numbers and patterns
3. Mathematics as science
4. The games of mathematics
5. Creating new mathematical games
6. Perception and imagination
7. Likeness and analogy
8. Certainty, proof and illumination
9. Mathematics in science: searching for the truth
10. Mathematics in science: approximate models
11. The enjoyment of mathematics
12. A miniature world and a long journey
13. A mathematical adventure
14. Index

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