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.
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.
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.
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.
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.
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.
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.
Download or read book Beginner s Book of Modular Origami Polyhedra written by Rona Gurkewitz and published by Courier Corporation. This book was released on 2012-03-07 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book The Fifty Nine Icosahedra written by H. S. M. Coxeter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fifty-Nine Icosahedra was originally published in 1938 as No. 6 of "University of Toronto Studies (Mathematical Series)". Of the four authors, only Coxeter and myself are still alive, and we two are the authors of the whole text of the book, in which any signs of immaturity may perhaps be regarded leniently on noting that both of us were still in our twenties when it was written. N either of the others was a professional mathematician. Flather died about 1950, and Petrie, tragically, in a road accident in 1972. Petrie's part in the book consisted in the extremely difficult drawings which consti tute the left half of each of the plates (the much simpler ones on the right being mine). A brief biographical note on Petrie will be found on p. 32 of Coxeter's Regular Polytopes (3rd. ed. , Dover, New York, 1973); and it may be added that he was still a schoolboy when he discovered the regular skew polygons that are named after him, and are the occasion for the note on him in Coxeter's book. (Coxeter also was a schoolboy when some of the results for which he will be most remembered were obtained; he and Petrie were schoolboy friends and used to work together on polyhedron and polytope theory. ) Flather's part in the book consisted in making a very beautiful set of miniature models of all the fifty-nine figures. These are still in existence, and in excellent preservation.
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:
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
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.
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 360 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.
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.
Download or read book The Six Cornered Snowflake written by Johannes Kepler and published by Paul Dry Books. This book was released on 2010-01-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In 1611, Kepler wrote an essay wondering why snowflakes always had perfect, sixfold symmetry. It's a simple enough question, but one that no one had ever asked before and one that couldn't actually be answered for another three centuries. Still, in trying to work out an answer, Kepler raised some fascinating questions about physics, math, and biology, and now you can watch in wonder as a great scientific genius unleashes the full force of his intellect on a seemingly trivial question, complete with new illustrations and essays to put it all in perspective."—io9, from their list "10 Amazing Science Books That Reveal The Wonders Of The Universe" When snow began to fall while he was walking across the Charles Bridge in Prague late in 1610, the eminent astronomer Johannes Kepler asked himself the following question: Why do snowflakes, when they first fall, and before they are entangled into larger clumps, always come down with six corners and with six radii tufted like feathers? In his effort to answer this charming and never-before-asked question about snowflakes, Kepler delves into the nature of beehives, peapods, pomegranates, five-petaled flowers, the spiral shape of the snail's shell, and the formative power of nature itself. While he did not answer his original question—it remained a mystery for another three hundred years—he did find an occasion for deep and playful thought. "A most suitable book for any and all during the winter and holiday seasons is a reissue of a holiday present by the great mathematician and astronomer Johannes Kepler…Even the endnotes in this wonderful little book are interesting and educationally fun to read."—Jay Pasachoff, The Key Reporter —New English translation by Jacques Bromberg —Latin text on facing pages —An essay, "The Delights of a Roving Mind" by Owen Gingerich —An essay, "On The Six-Cornered Snowflake" by Guillermo Bleichmar —Snowflake illustrations by Capi Corrales Rodriganez —John Frederick Nims' poem "The Six-Cornered Snowflake" —Notes by Jacques Bromberg and Guillermo Bleichmar
Download or read book The Harmony of the World written by Johannes Kepler and published by American Philosophical Society. This book was released on 1997 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors have presented and interpreted Johannes Kepler's Latin text to English readers by putting it into the kind of clear but earnest language they suppose Kepler would have used if he had been writing today.
