Geometry is the most fundamental subject in the universe, for it describes the relationships within and between all things.

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 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: Requires a knowledge of simple algebra and elementary trigonometry. No brainiac math skills required! Only the ability to appreciate nature's own logic.

 

A Geometric Analysis of the Platonic Solids and other Semi-Regular Polyhedra

 presents a detailed analysis of the five Platonic Solids:

· The Tetrahedron

· The Octahedron

· The Cube

· The Icosahedron

· The Dodecahedron

Along with five other important polyhedra:

· The Cube Octahedron

· The Rhombic Dodecahedron

· The Rhombic Triacontahedron

· The Icosa Dodecahedron

· The Star Tetrahedron

We also thoroughly investigate the pentagon, which is nature’s key to unlocking the secrets of the Platonic Solids, and delve into the Phi Ratio, which turns up over and over again in these figures.

The Rhombic Triacontahedron, for example, is nature's way of nesting the five Platonic Solids elegantly within one structure. The analysis of this polyhedron alone is worth the price of the book!

 

A Geometric Analysis of the Platonic Solids and other Semi-Regular Polyhedra
With over 140 illustrations
$18.95 USD   PDF Format   242 pages
15.9 MBytes

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All Big Picture e–Books are fully linked and bookmarked for easy access with Adobe Acrobat Reader, the industry's leading and most easy-to-use viewer.
There is a link to the Adobe Reader on the download page for this product.

In addition to the great content, your e-Book features:

1)   Linked Table of Contents to all important sections.

2)   Clicking on the “Bookmark” tab in the Reader will show you links to the main subject headings in the book, so that you can easily jump to any section of the book, no matter where you are. Click on the “Thumbnail” tab (or the “Pages” tab) and go directly to any page.

3)   Fully searchable. Click on the binocular icon on the toolbar at the top (next to the hand tool) and type in any word in the “Search” box. You will be directed to every occurrence of that word in the book.

4)   Printable. You can print a hardcopy of the book and read it if you like. Just click on the “Printer” icon on the toolbar.

5)  Scalable.  Zoom in and out to enlarge or diminish font size with one mouse click.

 

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Copyright ©2006 Kenneth James Michael MacLean and The Big Picture