{"product_id":"amazing-math-sunil-tanna-9781503084858","title":"Amazing Math: Introduction to Platonic Solids","description":"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. \u003cp\u003e\u003c\/p\u003eTopics covered include: \u003cul\u003e\n\u003cli\u003eWhat the Platonic solids are\u003c\/li\u003e\n\u003cli\u003eThe history of the discovery of Platonic solids\u003c\/li\u003e\n\u003cli\u003eThe common features of all Platonic solids\u003c\/li\u003e\n\u003cli\u003eThe geometrical details of each Platonic solid\u003c\/li\u003e\n\u003cli\u003eExamples of where each type of Platonic solid occurs in nature\u003c\/li\u003e\n\u003cli\u003eHow we know there are only five types of Platonic solid (geometric proof)\u003c\/li\u003e\n\u003cli\u003eA topological proof that there are only five types of Platonic solid\u003c\/li\u003e\n\u003cli\u003eWhat are dual polyhedrons\u003c\/li\u003e\n\u003cli\u003eWhat is the dual polyhedron for each of the Platonic solids\u003c\/li\u003e\n\u003cli\u003eThe relationships between each Platonic solid and its dual polyhedron\u003c\/li\u003e\n\u003cli\u003eHow to calculate angles in Platonic solids using trigonometric formulae\u003c\/li\u003e\n\u003cli\u003eThe relationship between spheres and Platonic solids\u003c\/li\u003e\n\u003cli\u003eHow to calculate the surface area of a Platonic solid\u003c\/li\u003e\n\u003cli\u003eHow to calculate the volume of a Platonic solid\u003c\/li\u003e\n\u003c\/ul\u003eAlso 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. \u003cp\u003e\u003c\/p\u003eSome 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Sunil Tanna\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 150308485X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781503084858\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Createspace Independent Publishing Platform\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/26\/2014\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 82\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.63lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 11.00h x 8.50w x 0.21d","brand":"Sunil Tanna","offers":[{"title":"Paperback","offer_id":47611757199615,"sku":"9781503084858","price":31.53,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_f4e8181d-1833-4cdc-b4ba-2e4e58348079.jpg?v=1764515886","url":"https:\/\/www.whiterainbookhouse.com\/products\/amazing-math-sunil-tanna-9781503084858","provider":"WR Book House","version":"1.0","type":"link"}