Amazing Math
  • Author : Sunil Tanna
  • Release Date : 26 October 2014
  • Publisher : CreateSpace
  • Genre : Uncategorized
  • Pages : 82
  • ISBN 13 : 150308485X

Amazing Math Book Summary

This book is a guide to the 5 Platonic solids (regular tetrahedron, cube, regular octahedron, regular dodecahedron, and regular icosahedron). These solids are important in mathematics, in nature, and are the only 5 convex regular polyhedra that exist. Topics covered include: What the Platonic solids are The history of the discovery of Platonic solids The common features of all Platonic solids The geometrical details of each Platonic solid Examples of where each type of Platonic solid occurs in nature How we know there are only five types of Platonic solid (geometric proof) A topological proof that there are only five types of Platonic solid What are dual polyhedrons What is the dual polyhedron for each of the Platonic solids The relationships between each Platonic solid and its dual polyhedron How to calculate angles in Platonic solids using trigonometric formulae The relationship between spheres and Platonic solids How to calculate the surface area of a Platonic solid How to calculate the volume of a Platonic solid Also included is a brief introduction to some other interesting types of polyhedra - prisms, antiprisms, Kepler-Poinsot polyhedra, Archimedean solids, Catalan solids, Johnson solids, and deltahedra. Some familiarity with basic trigonometry and very basic algebra (high school level) will allow you to get the most out of this book - but in order to make this book accessible to as many people as possible, it does include a brief recap on some necessary basic concepts from trigonometry.

Amazing Math

Amazing Math

Author : Sunil Tanna
Publisher : CreateSpace
Genre : Uncategorized
Total View : 2240 Views
File Size : 51,9 Mb
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This book is a guide to the 5 Platonic solids (regular tetrahedron, cube, regular octahedron, regular dodecahedron, and regular icosahedron). These solids are important in mathematics, in nature, and are the only 5 convex regular polyhedra that exist. Topics covered include: What the Platonic solids are The history of the discovery of ...

Beginner s Book of Modular Origami Polyhedra

Beginner s Book of Modular Origami Polyhedra

Author : Rona Gurkewitz,Bennett Arnstein
Publisher : Courier Corporation
Genre : Crafts & Hobbies
Total View : 4513 Views
File Size : 47,9 Mb
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This manual features 17 easy-to-master projects involving the Platonic solids: the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Includes detailed diagrams and photos of all the completed models....

3D Origami Platonic Solids   More

3D Origami Platonic Solids More

Author : John Montroll
Publisher : Unknown
Genre : Crafts & Hobbies
Total View : 3252 Views
File Size : 53,9 Mb
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Polyhedra are incredibly beautiful shapes. Illustrated step-by-step diagrams show how to fold a collection of around 30 models including the five Platonic Solids, sunken versions of each, models with color patterns, variations on Archimedean Solids, and more. Each model is folded from a single uncut square. They range from simple to ...

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Polyoxometalates From Platonic Solids to Anti Retroviral Activity

Author : M.T. Pope,Achim Müller
Publisher : Springer Science & Business Media
Genre : Science
Total View : 6342 Views
File Size : 53,9 Mb
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MICHAEL T. POPE AND ACHIM MULLER Department of Chemistry, Georgetown University, Washington, DC 20057-2222, U.S.A.; Department of Chemistry, University of Bielefeld, D-4BOO Bielefeld 1, F.R.G. Polyoxometalates, from their discovery and early development in the final decades of the 19th century to their current significance in disciplines ...

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Polyhedra

Author : Peter R. Cromwell
Publisher : Cambridge University Press
Genre : Mathematics
Total View : 4582 Views
File Size : 53,7 Mb
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This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics....

The Physics Book

The Physics Book

Author : DK
Publisher : Penguin
Genre : Science
Total View : 5413 Views
File Size : 40,6 Mb
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Explore the laws and theories of physics in this accessible introduction to the forces that shape our universe, our planet, and our everyday lives. Using a bold, graphics-led approach, The Physics Book sets out more than 80 of the key concepts and discoveries that have defined the subject and influenced our ...