Platonic & Archimedean Solids

Author: Daud Sutton

Publisher: Bloomsbury Publishing USA

ISBN: 0802713866

Category: Mathematics

Page: 58

View: 3930

Looks at the relationship between the five Platonic and thirteen Archimedean solids.
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The Golden Section

Nature's Greatest Secret

Author: Scott Olson

Publisher: Bloomsbury Publishing USA

ISBN: 0802715397

Category: Mathematics

Page: 58

View: 1305

Tells the story of the golden section, a line segment divided into two parts such that the ratio of the short portion to the longer portion is equal to the ratio of the longer portion to the whole, and its impact on civilization and the natural world.
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Harmonograph

A Visual Guide to the Mathematics of Music

Author: Anthony Ashton

Publisher: Wooden Books

ISBN: 1912706059

Category: Music

Page: 64

View: 8586

Why did Pythagoras pause outside a Blacksmith's workshop? Can the nature of Harmony really be understood visually? Why do harmonies leave gaps or 'commas' when added together? In this charming little book Anthony Ashton uses a Victorian device called a Harmonograph to tell the story of Harmony and the intervals in the scale. With useful appendices and exquisite line drawings this is a unique and original introduction to this timeless subject. WOODEN BOOKS are small but packed with information. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.
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Making Geometry

Exploring Three-dimensional Forms

Author: Jon Allen

Publisher: N.A

ISBN: 9780863159145

Category: Art

Page: 136

View: 1344

Professional guide to making three-dimensional models of all the Platonic and Archimedian solids in step-by-step instructions.
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3D Origami Platonic Solids and More

Author: John Montroll

Publisher: Createspace Independent Pub

ISBN: 9781480217515

Category: Crafts & Hobbies

Page: 120

View: 8883

Polyhedra are incredibly beautiful shapes. You can now fold, display, and exhibit these models. This collection teaches you how to fold around 30 models, created and diagrammed by origami master John Montroll. Step-by-step instructions show how to make detailed models including the Tetrahedron, Sunken Tetrahedron, Cube, Dodecahedron, Hexagonal Trapezohedron, and more. Information about these polyhedra is included. The folding techniques combine origami with geometry. The models include all five Platonic Solids, sunken versions of each, and models with color effects. By folding from origami paper (white on one side, colored on the other) many stunning colorful patterns can be achieved. There is a section on variations of Archimedean Solids. There are two sections on Octahedra and Dodecahedra, polyhedra with eight and twelve sides. This adds variety to families of shapes including a prism, antiprism, dipyramid, and trapezohedron. The folding methods for each of these imaginative models are quite different. All are original designs, using the latest in folding techniques. Each model is folded from a single square, which makes them more amazing and satisfying. They range from simple to complex. These unique designs are masterworks.
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Sacred Number

The Secret Quality of Quantities

Author: N.A

Publisher: Bloomsbury Publishing USA

ISBN: 0802714560

Category: Mathematics

Page: 64

View: 6659

Beautifully illustrated with many old engravings as well as contemporary imagery, "Sacred Number" covers basic counting systems and the widespread use of 20 important numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; and how numbers affect architecture.
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Sacred Geometry

Author: Miranda Lundy

Publisher: Bloomsbury Publishing USA

ISBN: 0802713823

Category: Mathematics

Page: 64

View: 8868

A unique introduction to this most ancient and timeless of universal sciences.
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Perspective and Other Optical Illusions

Author: Phoebe McNaughten

Publisher: Wooden Books

ISBN: 1912706008

Category: Art

Page: 64

View: 6269

Do things always look smaller when they are further away? Can something be clearly visible but not there at all? Is it ever possible to have a direct and true experience of reality? Are you sure? In this delightful and informative little book Phoebe McNaughton takes us on a classical journey through the history of artistic perspective, showing how the eye can be tricked and confused, the brain befuddled, and the philosopher inside all of us awakened by the nature of illusion. WOODEN BOOKS are small but packed with information. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.
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Compact Cosmos

A Journey Through Space and Time

Author: Matt Tweed

Publisher: Bloomsbury Publishing USA

ISBN: 0802714552

Category: Science

Page: 64

View: 3713

Exploring the macrocosm from colossal galactic superclusters to quiet backwater planets, Matt Tweed offers a primer on the cosmos for anyone fascinated by the heavens. Taking a guided tour through the universe, we ride past quasars, jets, and galaxies to land on a curious world and examine an array of ideas about space and time. Tweed traces the evolution of stars and formation of planets, describing our "light bubble" and why we can't see any farther than we do. For a concise and accessible description of extra-solar planetary systems, black holes, pulsars, nebulae, great walls, dark matter, red shifts, and much more, The Compact Cosmos is an indispensable guide. Data tables, lists of cosmological constants, and distances from Earth to other bodies in space form a useful appendix.
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Earth Grids

The Secret Patterns of Gaia's Sacred Sites

Author: Hugh Newman

Publisher: Wooden Books

ISBN: 1912706067

Category: Body, Mind & Spirit

Page: 64

View: 7577

Do ancient maps prove that the planet was surveyed 12,000 years ago? Were the poles once in a different position to where they are today? Is there a secret pattern joining the great sites of antiquity? In this revolutionary little book, ancient sites expert Hugh Newman outlines various theories concerning geometry in the distribution of sacred sites on Earth and comes to some startling conclusions. Illustrated throughout with fantastic graphics, this book will change your world. WOODEN BOOKS are small but packed with information. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.
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Quadrivium

The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology

Author: Miranda Lundy,Anthony Ashton,Jason Martineau,Daud Sutton,John Martineau

Publisher: Walker

ISBN: 9780802778130

Category: Science

Page: 416

View: 7496

The quadrivium—the classical curriculum—comprises the four liberal arts of number, geometry, music, and cosmology. It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences. Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series—Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence—it makes ancient wisdom and its astonishing interconnectedness accessible to us today. Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.
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Shapes, Space, and Symmetry

Author: Alan Holden

Publisher: Courier Corporation

ISBN: 9780486268514

Category: Mathematics

Page: 200

View: 6737

Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.
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Quadrivium

Number Geometry Music Heaven

Author: John Martineau

Publisher: N.A

ISBN: 9781907155048

Category: Cosmology

Page: 409

View: 9846

Composed of six previously published works.
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Islamic Design

A Genius for Geometry

Author: Daud Sutton

Publisher: Wooden Books

ISBN: 1912706032

Category: Art

Page: 64

View: 709

Across the Islamic world, illuminating Korans from Morocco to Malaysia, and adorning mosques, mausoleums and palaces, are hidden some of the most exquisite geometrical devices ever conceived by man. In this excellent little book, geometer Daud Sutton unravels the mystery of Islamic patterns, explaining where they come from, how to draw them, and hinting at the Divine messages they encode. WOODEN BOOKS are small but packed with information. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.
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Q.E.D.

Beauty in Mathematical Proof

Author: Burkard Polster

Publisher: Bloomsbury Publishing USA

ISBN: 0802714315

Category: Mathematics

Page: 58

View: 5875

Q.E.D. presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.
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Amazing Math

Introduction to Platonic Solids

Author: Sunil Tanna

Publisher: CreateSpace

ISBN: 9781503084858

Category:

Page: 82

View: 465

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.
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Origami Inspirations

Author: Meenakshi Mukerji

Publisher: CRC Press

ISBN: 1439871051

Category: Mathematics

Page: 136

View: 4111

This handsome book is aimed towards those with an intermediate skill level, but the origami basics included at the start of the book make it accessible to beginners. A number of beautiful models are offered, ranging from cubes to prisms to dodecahedra. As with the author’s two previous books, Origami Inspirations provides step-by-step instructions and color distribution suggestions to create the more than 30 intricate designs presented. The book also includes a chapter featuring designs by origami artists from around the world, and these projects provide a happy complement to the author’s own exciting inspirations in the rest of the book.
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A Little Book of Coincidence

In the Solar System

Author: John Martineau

Publisher: Wooden Books

ISBN: 1912706075

Category: Science

Page: 64

View: 9870

Venus draws a beautiful pentagram around Earth every eight years. Jupiter's two largest moons draw a perfect four-fold flower. The Planets grandly play out the slow Music of the Spheres. Is there a secret structure hidden in the Solar System? Packed with great illustrations and serious research from many sources, this internationally bestselling little book by cosmologist John Martineau will instantly retune your cosmological circuits to the extraordinary and primary patterns behind Life, the Universe and Everything. WOODEN BOOKS are small but packed with information. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.
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Symmetry

The Ordering Principle

Author: David Wade

Publisher: Wooden Books

ISBN: 1912706040

Category: Art

Page: 64

View: 7290

Why on earth do cars have the same symmetry as dragonflies? Is there really a beautiful swirling pattern lurking in every dripping tap? What do insect eggs have in common with planets, and why? In this exquisite book, the smallest and most concise ever produced, designer David Wade introduces the main principles of symmetry, and shows how, despite opinions over exactly what it is, symmetry can be found in almost every corner of science, nature and human culture. WOODEN BOOKS are small but packed with information. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.
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Grammar

The Structure of Language

Author: Rachel Grenon

Publisher: Walker

ISBN: 9780802743589

Category: Language Arts & Disciplines

Page: 64

View: 4088

In the ancient scholarly curriculum, grammar formed part of the Trivium, with its sister sciences of logic and rhetoric. Logic asks: When is a sentence true? Rhetoric asks: Which is the right sentence? Grammar purely asks: When is a sentence correct? In Grammar, Rachel Grenon defines the rules governing the construction of words, phrases, sentences, and extended text or speech. Beginning with the rules behind ancient languages such as Sanskrit and Greek, she then focuses on how the rules of English have developed-from nouns and pronouns, verbs and adverbs, to tenses, the passive voice, questions, imperatives, and much more. With diagrams, engravings, and witty cartoon illustrations, this original take on a classic subject is essential for anyone interested in language.
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