A Geometric Analysis Of The Platonic Solids And Other Semi Regular Polyhedra

Author : Kenneth J. M. MacLean
Publisher : Loving Healing Press
ISBN 13 : 1932690999
Total Pages : 163 pages
Book Rating : 4.96/5 ( download)

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Download or read book A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra written by Kenneth J. M. MacLean and published by Loving Healing Press. This book was released on 2007-01-01 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a meticulous geometric investigation of the five Platonic Solids and five other important polyhedra, as well as reference charts for each solid. (Mathematics)

Author : Kenneth J. M. MacLean
Publisher :
ISBN 13 : 9781615994304
Total Pages : 252 pages
Book Rating : 4.00/5 ( download)

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Download or read book A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra written by Kenneth J. M. MacLean and published by . This book was released on 2019-02-27 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. It also has 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.

Author : Kenneth J. M. MacLean
Publisher : Loving Healing Press
ISBN 13 : 9781615992751
Total Pages : 212 pages
Book Rating : 4.58/5 ( download)

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Download or read book A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra written by Kenneth J. M. MacLean and published by Loving Healing Press. This book was released on 2015-06-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Getting Inside the Mind of Nature: Discover the simple but powerful mathematics of the underlying geometric figures that shape our world Can geometry be exciting? It can for those who can appreciate the beauty of numbers and their relationships. 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. With over 140 full-color illustrations, this book is perfect for teachers and students of geometry alike. It is a must for those who are serious about sacred geometry. This book is dedicated to those who can appreciate the logic of numbers and the beauty of nature, for they are both aspects of the same unifying principle. Prerequisites: knowledge of simple algebra and elementary trigonometry. No brainiac math skills required! Only the ability to appreciate nature's own logic. Book #1 in the Geometric Explorations Series From Loving Healing Press (www.LovingHealing.com)

Author : Edward S. Popko
Publisher : CRC Press
ISBN 13 : 1000412431
Total Pages : 484 pages
Book Rating : 4.37/5 ( download)

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Download or read book Divided Spheres written by Edward S. Popko and published by CRC Press. This book was released on 2021-08-19 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the previous edition [. . .] Dr. Popko’s elegant new book extends both the science and the art of spherical modeling to include Computer-Aided Design and applications, which I would never have imagined when I started down this fascinating and rewarding path. His lovely illustrations bring the subject to life for all readers, including those who are not drawn to the mathematics. This book demonstrates the scope, beauty, and utility of an art and science with roots in antiquity. [. . .] Anyone with an interest in the geometry of spheres, whether a professional engineer, an architect or product designer, a student, a teacher, or simply someone curious about the spectrum of topics to be found in this book, will find it helpful and rewarding. – Magnus Wenninger, Benedictine Monk and Polyhedral Modeler Ed Popko's comprehensive survey of the history, literature, geometric, and mathematical properties of the sphere is the definitive work on the subject. His masterful and thorough investigation of every aspect is covered with sensitivity and intelligence. This book should be in the library of anyone interested in the orderly subdivision of the sphere. – Shoji Sadao, Architect, Cartographer and lifelong business partner of Buckminster Fuller Edward Popko's Divided Spheres is a "thesaurus" must to those whose academic interest in the world of geometry looks to greater coverage of synonyms and antonyms of this beautiful shape we call a sphere. The late Buckminster Fuller might well place this manuscript as an all-reference for illumination to one of nature's most perfect inventions. – Thomas T. K. Zung, Senior Partner, Buckminster Fuller, Sadao, & Zung Architects. This first edition of this well-illustrated book presented a thorough introduction to the mathematics of Buckminster Fuller’s invention of the geodesic dome, which paved the way for a flood of practical applications as diverse as weather forecasting and fish farms. The author explained the principles of spherical design and the three classic methods of subdivision based on geometric solids (polyhedra). This thoroughly edited new edition does all that, while also introducing new techniques that extend the class concept by relaxing the triangulation constraint to develop two new forms of optimized hexagonal tessellations. The objective is to generate spherical grids where all edge (or arc) lengths or overlap ratios are equal. New to the Second Edition New Foreword by Joseph Clinton, lifelong Buckminster Fuller collaborator A new chapter by Chris Kitrick on the mathematical techniques for developing optimal single-edge hexagonal tessellations, of varying density, with the smallest edge possible for a particular topology, suggesting ways of comparing their levels of optimization An expanded history of the evolution of spherical subdivision New applications of spherical design in science, product design, architecture, and entertainment New geodesic algorithms for grid optimization New full-color spherical illustrations created using DisplaySphere to aid readers in visualizing and comparing the various tessellations presented in the book Updated Bibliography with references to the most recent advancements in spherical subdivision methods

Author : Kenneth MacLean
Publisher : The Big Picture Website Press
ISBN 13 : 0979430429
Total Pages : 73 pages
Book Rating : 4.28/5 ( download)

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Download or read book What Do You Do...When All Hell Breaks Loose? written by Kenneth MacLean and published by The Big Picture Website Press. This book was released on 2009-04 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever made a resolution to improve and then just the opposite happened? It makes a mockery of the idea that you create your own reality, does it not? There is a perfectly understandable reason for this, however. Once you understand why things go wrong, you can not only extricate yourself from problems, but avoid future problems. Find out how to overcome life's roadblocks and gain more positive control over your life with this book! Acclaim for MacLean's What Do You Do... "I really enjoyed What Do You Do... When All Hell Breaks Loose? I have rarely received a work of your caliber. The topic of your book is near and dear to my heart." -- Carmen Black, www.Creator-Miracles.com "Your eBook, What Do You Do...When All Hell Breaks Loose? was the #1 download again last week on Authors Access.com. You should let me make this into a printed book!" -Victor R. Volkman, publisher, LHPress.com For more information, visit http: //www.kjmaclean.com

Author : Kenneth James MacLean
Publisher : The Big Picture Website Press
ISBN 13 : 0979430410
Total Pages : 121 pages
Book Rating : 4.11/5 ( download)

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Download or read book Miracles Can Happen written by Kenneth James MacLean and published by The Big Picture Website Press. This book was released on 2007-10 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two weeks after her mother's death, eight-year-old Amanda dreams of an angel who speaks to her about her father, her departed mother, and about life and death. Her father learns how the power of faith and love can be transforming.

Author :
Publisher :
ISBN 13 :
Total Pages : 838 pages
Book Rating : 4.42/5 ( download)

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Download or read book American Book Publishing Record written by and published by . This book was released on 2007 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Klaus D. Sattler
Publisher : CRC Press
ISBN 13 : 1351260553
Total Pages : 4153 pages
Book Rating : 4.58/5 ( download)

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Download or read book 21st Century Nanoscience written by Klaus D. Sattler and published by CRC Press. This book was released on 2022-01-18 with total page 4153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 21st Century Nanoscience Handbook will be the most comprehensive, up-to-date large reference work for the field of nanoscience. Handbook of Nanophysics, by the same editor, published in the fall of 2010, was embraced as the first comprehensive reference to consider both fundamental and applied aspects of nanophysics. This follow-up project has been conceived as a necessary expansion and full update that considers the significant advances made in the field since 2010. It goes well beyond the physics as warranted by recent developments in the field. Key Features: Provides the most comprehensive, up-to-date large reference work for the field. Chapters written by international experts in the field. Emphasises presentation and real results and applications. This handbook distinguishes itself from other works by its breadth of coverage, readability and timely topics. The intended readership is very broad, from students and instructors to engineers, physicists, chemists, biologists, biomedical researchers, industry professionals, governmental scientists, and others whose work is impacted by nanotechnology. It will be an indispensable resource in academic, government, and industry libraries worldwide. The fields impacted by nanoscience extend from materials science and engineering to biotechnology, biomedical engineering, medicine, electrical engineering, pharmaceutical science, computer technology, aerospace engineering, mechanical engineering, food science, and beyond.

Author : Alexandre Borovik
Publisher :
ISBN 13 : 9781783746996
Total Pages : 398 pages
Book Rating : 4.98/5 ( download)

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Download or read book The Essence of Mathematics Through Elementary Problems written by Alexandre Borovik and published by . This book was released on 2019-06-11 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vitor Balestro
Publisher : Springer Nature
ISBN 13 : 3031505077
Total Pages : 1195 pages
Book Rating : 4.72/5 ( download)

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Download or read book Convexity from the Geometric Point of View written by Vitor Balestro and published by Springer Nature. This book was released on with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt: