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A Geometric Analysis of the Platonic Solids…

A Geometric Analysis of the Platonic Solids and Other Semi-Regular…

by Kenneth J.M. MacLean

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Recently added byHeatherMS, vvolkman



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“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. ( )
  HeatherMS | Mar 31, 2012 |
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