Geometry in Our Three-Dimensional World

by Alfred S. Posamentier, Bernd Thaller, Christian Dorner, Christian Spreitzer, David Stuhlpfarrer, Guenter Maresch, Robert Geretschläger

Length: 440 pages
Edition: 1
Language: English
Publisher: World Scientific Publishing Company
Publication Date: 2021-12-16
ISBN-10: 9811237107
ISBN-13: 9789811237102
Sales Rank: #0 (See Top 100 Books)

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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.

Readership: All people interested in geometry and science. General audience with a basic knowledge of high-school math. Teachers seeking ideas for a modern approach to teaching geometry with applications.

Cover Page
Title Page
Copyright Page
Preface
About the Authors
Contents
Chapter 1 Our World is Three-Dimensional
Chapter 2 The Eight Basic Elements of Spatial Thinking
Chapter 3 Spatial Representation
Chapter 4 The Geometry on a Sphere
Chapter 5 The Earth, the Sun and the Moon
Chapter 6 Simple Solid Shapes
Chapter 7 How to Sew a Ball — A Polyhedral Approach
Chapter 8 Patterns: Voronoi, Kindergarten, Economy, and Epidemics
Chapter 9 Packing Problems
Chapter 10 Fascinating Shapes
Chapter 11 Manipulating Two Dimensions in a Three-Dimensional World — Origami in Space
Chapter 12 Knot Theory
Chapter 13 Kinematics — The Geometry of Motion
Chapter 14 The Art of Designing Three-Dimensional Models
Chapter 15 A View of a World with More Than Three Dimensions
Index