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Mathographics by Robert Dixon
Stimulating, unique book explores the possibilities of mathematical drawing through compass constructions and computer graphics. Over 100 full-page drawings demonstrate possibilities: five-point egg, golden ratio, 17-gon, plughole vortex, blancmange curve, pentasnow, turtle geometry, many more. Exercises (with answers). "A wealth of intriguing and lovely ideas." — Information Technology & Learning.
Table of Contents for Mathographics
| List of drawings | | Preface | | How to Use this Book | | 1 Compass Drawings | | 1.1 Eggs for beginners | | 1.2 Euclidean constructions | | 1.3 Euclidean approximations | | 1.4 Gauss extends Euclid | | 1.5 The eight centres of a triangle | | 1.6 Inverse points and mid-circles | | 2 String Drawings | | 3 Perspective Drawings | | 4 The Story of Trigonometry | | 4.1 The theorem of Pythagoras | | 4.2 Square roots | | 4.3 The story of pi (p) | | 4.4 The story of sine and cosine | | 5 Computer Drawings | | 5.1 On drawing a daisy | | 5.2 Drawing in perspective | | 5.3 Ten elementary transformations | | 5.4 The fractal universe | | Bibliography | | Answers | | Index |
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