# 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 eBook contains a meticulous geometric investigation of the 5 Platonic Solids and 6 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 eBook 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.

##### 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.

The Second Edition contains an additional polyhedron, the Truncated Icosahedron, or Soccer Ball, as well as sseveral sections that have been rewritten to provide easier reading.

#### Along with six other important polyhedra:

• ##### The Truncated Icosahedron (soccer ball)

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!

The book also contains an introduction to a new kind of math, which I call Phi math. Phi is the representation of perfect harmony. Math based on Phi has fascinating properties.