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Author :
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802713866
Total Pages : 68 pages
Book Rating : 4.8/5 (27 download)
Download or read book Platonic & Archimedean Solids written by and published by Bloomsbury Publishing USA. This book was released on 2002-04-01 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looks at the relationship between the five Platonic and thirteen Archimedean solids.
Author : Bruce Rawles
Publisher : Elysian Publishing
ISBN 13 : 9780965640572
Total Pages : 218 pages
Book Rating : 4.6/5 (45 download)
Download or read book The Geometry Code written by Bruce Rawles and published by Elysian Publishing. This book was released on 2012-04 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrate practical insights from modern physics, ancient Hermetic Laws, non-dual meta-physics, transpersonal psychology, and humor, as tools for undoing conflicting beliefs we've dreamed ourselves into. The seven Hermetic laws are explored in depth and demonstrate how a mindfulness that embraces 'other' as 'self' can reverse the typical misapplication of these inescapable laws of Mentalism, Correspondence, Vibration, Polarity, Rhythm, Cause & Effect and Generation. Ubiquitous geometric symbols, paired to each of these laws - the circle, vesica piscis, sine wave, line, spiral, fractal and yin-yang - and their countless commonplace variations, seen from the vantage point of shared interests, reflect these ideas. The inspired use of natural law restores attributes of life, love, strength, purity, beauty, perfection and gratitude to our awareness.
Author : John Montroll
Publisher :
ISBN 13 : 9781877656354
Total Pages : 120 pages
Book Rating : 4.6/5 (563 download)
Download or read book 3D Origami Platonic Solids & More written by John Montroll and published by . This book was released on 2018-07-20 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 complex.
Author : Sympsionics Design
Publisher :
ISBN 13 : 9789526821726
Total Pages : 44 pages
Book Rating : 4.8/5 (217 download)
Download or read book Building Platonic Solids written by Sympsionics Design and published by . This book was released on 2015-03-01 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can you build sturdy Platonic solids that will hold together through to the last gluing? The templates in this book were designed to answer that question. You can build the solids directly from the templates, or use them as a model to create the solids out of colored paper, cardboard, or paper you have colored or painted yourself. The completed solids made from the templates are about 1.6inches (4cm) high, and you can also follow the instructions to build larger solids. Each template is included in the book three times, allowing you to practice or build them along with your friends. Includes 3x5 black-and-white templates for building Platonic solids and instructions, and clear step-by-step images for ruler and compass constructions on how to draw the templates. * New in the second edition: * Some of the template images were moved to the same pages for easier copying for teachers. * Detailed drawing instructions for ruler and compass constructions.
Author : Daud Sutton
Publisher :
ISBN 13 : 9781902418346
Total Pages : 58 pages
Book Rating : 4.4/5 (183 download)
Download or read book Platonic and Archimedean Solids written by Daud Sutton and published by . This book was released on 2001-08 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whereas "Sacred Geometry" introduced readers to two-dimensional forms, "Platonic & Archimedean Solids" presents the world of three dimensions, which was understood as early as neolithic time. Daud Sutton elegantly explores the eighteen forms--from the cube to the octahedron and icosidodecahedron--that are the universal building blocks of three-dimensional space, and shows the fascinating relationships between them. For anyone interested in design, architecture, and mathematics, this will be a delight.
Author : Peter R. Cromwell
Publisher : Cambridge University Press
ISBN 13 : 9780521664059
Total Pages : 498 pages
Book Rating : 4.6/5 (64 download)
Download or read book Polyhedra written by Peter R. Cromwell and published by Cambridge University Press. This book was released on 1997 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics an d group theory. This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics. The author strikes a balance between covering the historical development of the theory surrounding polyhedra, and presenting a rigorous treatment of the mathematics involved. It is attractively illustrated with dozens of diagrams to illustrate ideas that might otherwise prove difficult to grasp. Historians of mathematics, as well as those more interested in the mathematics itself, will find this unique book fascinating.
Author : Sunil Tanna
Publisher : CreateSpace
ISBN 13 : 9781503084858
Total Pages : 82 pages
Book Rating : 4.0/5 (848 download)
Download or read book Amazing Math written by Sunil Tanna and published by CreateSpace. This book was released on 2014-10-26 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Andy Liu
Publisher : Springer
ISBN 13 : 3319568116
Total Pages : 220 pages
Book Rating : 4.3/5 (195 download)
Download or read book S.M.A.R.T. Circle Projects written by Andy Liu and published by Springer. This book was released on 2017-09-07 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes projects in a Mathematical “Circle,” i.e., an organization that discovers and nurtures young mathematical talents through meaningful extra-curricular activities. This is the second volume in a trilogy describing in particular the S.M.A.R.T. Circle project, which was founded in Edmonton, Canada in 1981. The acronym S.M.A.R.T. stands for Saturday Mathematical Activities, Recreations & Tutorials. This book, Volume II, is based on the papers published in scientific and education journals by the Circle members while they were still in junior high school (some still in elementary school). In essence, it explains the purpose of the Circle. Volume I describes how to run a Circle, and Volume III explains what actually takes place in the Circle. All three volumes provide a wealth of resources (mathematical problems, quizzes and games, together with their solutions). The books will be of interest to self-motivated students who want to conduct independent research, teachers who work with these students, and teachers who are currently running or planning to run Mathematical Circles of their own.
Author : Magnus J. Wenninger
Publisher : Cambridge University Press
ISBN 13 : 9780521098595
Total Pages : 224 pages
Book Rating : 4.0/5 (985 download)
Download or read book Polyhedron Models written by Magnus J. Wenninger and published by Cambridge University Press. This book was released on 1971 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: he author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms.
Author : Bruce Rawles
Publisher :
ISBN 13 : 9780965640565
Total Pages : 256 pages
Book Rating : 4.6/5 (45 download)
Download or read book Sacred Geometry Design Sourcebook written by Bruce Rawles and published by . This book was released on 2011-07-28 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 256 page resource has 221 full page black and white "line art" graphic images. The ready-to-use templates teach by "whole brain" play and creative exploration, with over 1300 smaller images surrounding the central full page image on each page, providing examples of countless variations for the creative explorer of this art form and science. In addition to a large collection of 2-dimensional patterns, a "coloring book for kids of all ages", there are 27 3-dimensional "fold-up" patterns which make it easier than ever before to create exquisite shapes revered by pioneers such as Plato, Pythagoras, and Leonardo daVinci. There is a brief introductory section on the philosophical perspective of universal proportions and symbols. The book also has extensive tables, World Wide Web links and bibliographic references for those whose interest and curiosity has been sparked by the hands-on, experiential majority of the book. It is a reference for serious students of geometry and its omnipresent purpose. This is a newer, perfect bound version of the book which has also been available in a spiral-bound version since 1997.
Author : Mark Shelby Adams
Publisher : Geodesic Designs Inc.
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4./5 ( download)
Download or read book Archimedean & Platonic Solids written by Mark Shelby Adams and published by Geodesic Designs Inc.. This book was released on 1985-01-07 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volumetric proofs of the Archimedean & Platonic Solids
Author : David S. Richeson
Publisher : Princeton University Press
ISBN 13 : 0691191999
Total Pages : 336 pages
Book Rating : 4.6/5 (911 download)
Download or read book Euler's Gem written by David S. Richeson and published by Princeton University Press. This book was released on 2019-07-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.
Author : Magnus J. Wenninger
Publisher :
ISBN 13 : 9780873530835
Total Pages : 0 pages
Book Rating : 4.5/5 (38 download)
Download or read book Polyhedron Models for the Classroom written by Magnus J. Wenninger and published by . This book was released on 1975-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bonnie Roskes
Publisher :
ISBN 13 : 9781935135814
Total Pages : pages
Book Rating : 4.1/5 (358 download)
Download or read book Basic Platonic and Archimedean Solids written by Bonnie Roskes and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L. Fejes Tóth
Publisher : Elsevier
ISBN 13 : 1483151433
Total Pages : 352 pages
Book Rating : 4.4/5 (831 download)
Download or read book Regular Figures written by L. Fejes Tóth and published by Elsevier. This book was released on 2014-07-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regular Figures concerns the systematology and genetics of regular figures. The first part of the book deals with the classical theory of the regular figures. This topic includes description of plane ornaments, spherical arrangements, hyperbolic tessellations, polyhedral, and regular polytopes. The problem of geometry of the sphere and the two-dimensional hyperbolic space are considered. Classical theory is explained as describing all possible symmetrical groupings in different spaces of constant curvature. The second part deals with the genetics of the regular figures and the inequalities found in polygons; also presented as examples are the packing and covering problems of a given circle using the most or least number of discs. The problem of distributing n points on the sphere for these points to be placed as far as possible from each other is also discussed. The theories and problems discussed are then applied to pollen-grains, which are transported by animals or the wind. A closer look into the exterior composition of the grain shows many characteristics of uniform distribution of orifices, as well as irregular distribution. A formula that calculates such packing density is then explained. More advanced problems such as the genetics of the protean regular figures of higher spaces are also discussed. The book is ideal for physicists, mathematicians, architects, and students and professors in geometry.
Author : Magnus J. Wenninger
Publisher : Cambridge University Press
ISBN 13 : 9780521543255
Total Pages : 176 pages
Book Rating : 4.5/5 (432 download)
Download or read book Dual Models written by Magnus J. Wenninger and published by Cambridge University Press. This book was released on 2003-10-16 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: An enthusiastic presentation of the complex set of uniform duals of uniform polyhedral shapes.
Author : Jon Allen
Publisher :
ISBN 13 : 9780863159145
Total Pages : 136 pages
Book Rating : 4.1/5 (591 download)
Download or read book Making Geometry written by Jon Allen and published by . This book was released on 2012 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professional guide to making three-dimensional models of all the Platonic and Archimedian solids in step-by-step instructions.
