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A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra, by Kenneth J. M. MacLean
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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)
- Sales Rank: #4295613 in Books
- Published on: 2015-06-01
- Original language: English
- Number of items: 1
- Dimensions: 11.02" h x .69" w x 8.50" l, 2.10 pounds
- Binding: Hardcover
- 212 pages
Most helpful customer reviews
5 of 5 people found the following review helpful.
Enhanced with more than 140 full-color illustrations
By Midwest Book Review
"A Geometric Analysis Of The Platonic Solids And Other Semi-Regular Polyhedra" by writer, researcher, and original thinker Kenneth MacLean provides teachers, science students, and non-specialist general readers with an informed and informative introduction to the Phi Ratio as it is commonly encountered in the world. Offering a fascinating perspective, the reader is provided with a view of geometry and its patterns that is fully accessible to anyone with a high school level of competency in mathematics. Methodical, even elegant, the formulas and equations reflect the beauty of numbers and three dimensional figures. Enhanced with more than 140 full-color illustrations, "A Geometric Analysis Of The Platonic Solids And Other Semi-Regular Polyhedra" is a very highly recommended addition to personal and academic library Mathematics & Geometry reference collections and supplemental reading lists.
3 of 3 people found the following review helpful.
A good book for those who love the beauty of numbers
By HeatherMS
"A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra" by Kenneth J.M. MacLean is quite the mouthful of a title to read. The title will entice those who love numbers but will be off-putting to those who don't, which is a shame because Mr. MacLean does a good job of showing the reader the beauty of numbers and the relationships between them.
The book has over 140 full-color illustrations which help to demonstrate just what concept the author is trying to describe. He often gives a solid illustration and then breaks it down into its components. For example, chapter 12 is about the Rhombic Dodecahedron which has a picture of what it would look like as a solid object but then Mr. MacLean breaks it down into its components: 12 faces, 14 vertices, 24 sides or edges. He then goes on to explain why it is called a rhombus, how to find the volume, the surface angles, and the Dihedral angle. I admit that I did get a little lost in the formulas.
My favorite parts where when the author talked about the Phi Ratio and the Fibonacci Series. The Phi Ratio is also known as the Golden Ratio and is about proportion and shows the person how to see the "relationship between one quantity and another quantity." The Fibonacci Series is perhaps the most beautiful way to talk about nature and the universe and Mr. MacLean includes real photos in this section of a nautilus shell, a molded wax agave and a sunflower to demonstrate what the Fibonacci Series is. He also illustrates the Fibonacci Series on the human body relationships.
This book is for those who love numbers for they will be drawn to the formulas and the illustrations and will be able to appreciate the beauty of it all. For those who find numbers and math as something to be afraid of or as something that is too hard to understand, they can still enjoy the illustrations but will be overwhelmed with the more technical nature of the book.
4 of 5 people found the following review helpful.
I applaud the author's fascinating approach to this topic
By Reader Views
Reviewed by Cherie Fisher for Reader Views (11/07)
I was a little worried when I first agreed to review this book because, even though I loved Geometry in school, it has been several years since I took the class. But I found "A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra" to be very reader-friendly. The author's enthusiastic approach to geometry immediately drew me in. The definitions and the clearly-defined illustrations (over 140 throughout the book) also brought me up-to-speed very quickly. This book is an excellent resource for those studying geometry and I wish that something like this had been available to me when I was in school.
The author introduces a geometric explanation of Phi Ratio, the Fibonacci Series and the Pentagon. I was particularly fascinated with the Fibonacci Series and its relationship to nature. Once you really start understanding the sequence of the Fibonacci Series it becomes really obvious in many life forms from plants to shells to the human body. It repeatedly shows the incredible intelligence behind every form of life on this planet and that nothing is created randomly. The book also includes an investigation of the five Platonic Solids and other prominent polyhedra. Each theory includes very detailed reference charts and diagrams.
The author states that "A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra" is for teachers, researchers and the Generally Curious. As one of the Generally Curious I found this to be an excellent book and would recommend it to anyone who is studying Geometry or has an interest in Math. The Prerequisites listed are: knowledge of simple algebra and elementary trigonometry. No brainiac math skills required! You only need the ability to appreciate nature's own logic. I applaud the author's fascinating approach to this topic.
Book received free of charge.
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