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E-raamat: Geometry In Our Three-dimensional World

(City University Of New York, Usa), (University Of Graz, Austria), (Univ College Of Teacher Education Lower Austria, Austria), (Univ College Of Teacher Education Styria, Austria), , (Univ Of Salzburg, Austria), (Univ Of Graz, Austria)
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The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics — from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses — this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives.The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations.
Preface v
About the Authors xi
Chapter 1 Our World is Three-Dimensional
1(14)
Chapter 2 The Eight Basic Elements of Spatial Thinking
15(36)
Chapter 3 Spatial Representation
51(22)
Chapter 4 The Geometry on a Sphere
73(40)
Chapter 5 The Earth, the Sun and the Moon
113(36)
Chapter 6 Simple Solid Shapes
149(26)
Chapter 7 How to Sew a Ball -- A Polyhedral Approach
175(18)
Chapter 8 Patterns: Voronoi, Kindergarten, Economy, and Epidemics
193(36)
Chapter 9 Packing Problems
229(22)
Chapter 10 Fascinating Shapes
251(22)
Chapter 11 Manipulating Two Dimensions in a Three-Dimensional World -- Origami in Space
273(26)
Chapter 12 Knot Theory
299(26)
Chapter 13 Kinematics -- The Geometry of Motion
325(26)
Chapter 14 The Art of Designing Three-Dimensional Models
351(34)
Chapter 15 A View of a World with More Than Three Dimensions
385(26)
Index 411