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Amazing Math: Introduction to Platonic Solids by Sunil Tanna (2014, Trade Paperback)

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Amazing Math by Sunil Tanna. Author Sunil Tanna. Title Amazing Math. Format Paperback. GE_Item_ID:93355527;.

Informazioni su questo prodotto

Product Identifiers

PublisherCreateSpace

ISBN-10150308485X

ISBN-139781503084858

eBay Product ID (ePID)19038412965

Product Key Features

Number of Pages82 Pages

LanguageEnglish

Publication NameAmazing Math: Introduction to Platonic Solids

SubjectGeometry / General

Publication Year2014

TypeTextbook

AuthorSunil Tanna

Subject AreaMathematics

FormatTrade Paperback

Dimensions

Item Height0.2 in

Item Weight9.6 Oz

Item Length11 in

Item Width8.5 in

Additional Product Features

Intended AudienceTrade

SynopsisThis 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.