Posamentier A. Geometry in Our Three-dimensional World 2022 torrent

Textbook in PDF format

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.
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
Manipulating Two Dimensions in a Three-Dimensional 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