TY - BOOK AU - MacLean, Kenneth J.M. TI - Geometric analysis of the platonic solids and other semi-regular polyhedra with an introduction to the phi ratio : : for teachers, researchers, and the generally curious T2 - Geometric explorations series, 1 SN - 9781615994298 AV - QA 491 .M33 2020 PY - 2020/// CY - [USA] PB - Big Picture, KW - GEOMETRY -- STUDY AND TEACHING KW - GOLDEN SECTION KW - POLYHEDRA -- MODELS N1 - Includes bibliographical references; Part 1. The √2 and √3 Platonic Solids -- Part 2. The Phi Ratio and the Pentagon -- Part 3. The √5 Platonic Solids -- Part 4. Semi-regular Polyhedra -- Bibliography -- About the author N2 - This book contains a meticulous geometric investigation of the 5 Platonic Solids and 5 other important polyhedra, as well as reference charts for each solid. Poly (many) hedron (face) means "many faces." Polyhedra are 3 dimensional figures with 4 or more faces, or sides. These polyhedra are reflections of Nature herself, and a study of them provides insight into the way the world is structured. Nature is not only beautiful, but highly intelligent. As you explore the polyhedra in this book, this will become apparent over and over again. The book contains a geometric explanation of the Phi Ratio and Fibonacci series, and a detailed analysis of the pentagon, which forms the basis for many of these solids. The pentagon is composed entirely of Phi relationships, and is integral to a proper understanding of sacred geometry ER -