A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra (Geometric Explorations Series) [Paperback]

Kenneth J.M. MacLean (Author)

Book Description

Publication Date: June 22, 2007

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)

Product Details

• Paperback: 168 pages
• Publisher: Loving Healing Press; 1st edition (June 22, 2007)
• Language: English
• ISBN-10: 1932690999
• ISBN-13: 978-1932690996
• Product Dimensions: 11.1 x 8.5 x 0.5 inches
• Shipping Weight: 1.2 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
• Amazon Best Sellers Rank: #622,539 in Books (See Top 100 in Books)

More About the Author

Kenneth J. M. MacLean has a B.A. in Political science and a B.S. in Computer Science. He is the author of 8 published books, and 10 eBooks, over 100 published articles, and three movies.

Ken has been studying science and metaphysics for decades, in an attempt to explain the untimely death of his mother from leukemia, when he was only 3 years old. Drawing on his writing and editing experience, Ken is also a professional book and manuscript editor. He is interested in geometry and has written a textbook describing important 3 dimensional solids called polyhedra.
Ken also has a radio show, called the Interview With Spirit show, which airs on Blog Talk Radio every Wednesday at 4PM Eastern. Ken talks about current events in the context of consciousness and spirituality, and where the human race is headed during this amazing period in human history.

Ken has not lived in an ivory tower. For 25 years he owned a contracting business in which he met people from all walks of life. From these experiences Ken learned how to relate to the poor and the rich, the uneducated and university professors, and people from different cultures and religions. Ken has learned that the common denominator of all human beings is a divine presence that transcends cultural and religious backgrounds. This understanding is reflected in all of his work.

Ken's favorite quote is from John Payne: "True love is empowering people to see their greater potential."

Ken has been happily married for 30 years to Jennifer, and lives in Ann Arbor, Michigan with their 3 cats.

Customer Reviews

Most Helpful Customer Reviews

4 of 4 people found the following review helpful:

5.0 out of 5 stars I applaud the author's fascinating approach to this topic, November 19, 2007

By 

Reader Views "Reviews, by readers, for readers" (Austin, Texas) - See all my reviews

This review is from: A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra (Geometric Explorations Series) (Paperback)

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.

4 of 4 people found the following review helpful:

5.0 out of 5 stars Enhanced with more than 140 full-color illustrations, September 5, 2007

By 

Midwest Book Review (Oregon, WI USA) - See all my reviews

This review is from: A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra (Geometric Explorations Series) (Paperback)

"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.