图书简介
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.Key Features: oAccessible for the general audienceoExtremely wide range of topics related to spatial geometryoSpecial focus on topics that are important for everyday lifeoModern approach to theoretical topics like spherical geometry, topology, knot theory, and higher-dimensional geometryoUnusual topics such as the psychology of 3D perception, the art of perspective drawing, optical illusions, origami art and the geometry of the balls used in sportsoEmphasis on practical aspects of spatial geometry: kinematic geometry (geometry of mechanical machines), 3D modeling and printingoReaders will learn how to make a virtual modeloReaders can train their spatial skillsoMore than 420 color illustrations that significantly enhance the perceptions
Our World is Three-Dimensional; The Eight Basic Elements of Spatial Thinking; Spatial Representation; The Geometry on a Sphere; The Earth, the Sun and the Moon; Simple Solid Shapes; How to Sew a Ball — A Polyhedral Approach; Patterns: Voronoi, Kindergarten, Economy and Epidemics; Packing Problems; Fascinating Shapes; 2D in a 3D World — Origami in Space; Knot Theory; Kinematics — The Geometry of Motion; The Art of Designing Three-Dimensional Models; A View of a World with More Than Three Dimensions;
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