Crocheting Adventures With Hyperbolic Planes

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Crocheting Adventures with Hyperbolic Planes

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Author : Daina Taimina
Publisher : CRC Press
ISBN 13 : 1351402196
Total Pages : 865 pages
Book Rating : 4.3/5 (514 download)

Book Synopsis Crocheting Adventures with Hyperbolic Planes by : Daina Taimina

Download or read book Crocheting Adventures with Hyperbolic Planes written by Daina Taimina and published by CRC Press. This book was released on 2018-02-19 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.

Crocheting Adventures with Hyperbolic Planes

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Author : Daina Taimina
Publisher : A K Peters/CRC Press
ISBN 13 : 9781568814520
Total Pages : 0 pages
Book Rating : 4.8/5 (145 download)

Book Synopsis Crocheting Adventures with Hyperbolic Planes by : Daina Taimina

Download or read book Crocheting Adventures with Hyperbolic Planes written by Daina Taimina and published by A K Peters/CRC Press. This book was released on 2009-02-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the Euler Book Prize -- Awarded by the Mathematical Association of America With more than 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. From the Foreword by William Thurston: "These models have a fascination far beyond their visual appearance. As illustrated in the book, there is actually negative curvature and hyperbolic geometry all around us, but people generally see it without seeing it. You will develop an entirely new understanding by actually following the simple instructions and crocheting! The models are deceptively interesting. Perhaps you will come up with your own variations and ideas. In any case, I hope this book gives you pause for thought and changes your way of thinking about mathematics."

Making Mathematics with Needlework

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Author : sarah-marie belcastro
Publisher : CRC Press
ISBN 13 : 1439865132
Total Pages : 200 pages
Book Rating : 4.4/5 (398 download)

Book Synopsis Making Mathematics with Needlework by : sarah-marie belcastro

Download or read book Making Mathematics with Needlework written by sarah-marie belcastro and published by CRC Press. This book was released on 2007-12-12 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical craftwork has become extremely popular, and mathematicians and crafters alike are fascinated by the relationship between their crafts. The focus of this book, written for mathematicians, needleworkers, and teachers of mathematics, is on the relationship between mathematics and the fiber arts (including knitting, crocheting, cross-stitch, and quilting). Each chapter starts with an overview of the mathematics and the needlework at a level understandable to both mathematicians and needleworkers, followed by more technical sections discussing the mathematics, how to introduce the mathematics in the classroom through needlework, and how to make the needlework project, including patterns and instructions.

A Field Guide to Hyperbolic Space

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Author : Margaret Wertheim
Publisher :
ISBN 13 :
Total Pages : 97 pages
Book Rating : 4.:/5 (811 download)

Book Synopsis A Field Guide to Hyperbolic Space by : Margaret Wertheim

Download or read book A Field Guide to Hyperbolic Space written by Margaret Wertheim and published by . This book was released on 2007 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the properties of hyperbolic space were known for 200 years, it was only in 1997 that mathematician Daina Taimina worked out how to make physical models of it. The method she used was crochet. In this book, Margaret Wertheim presents a brief history of hyperbolic space in mathematics and nature, and offers a "field guide" to its crocheted manifestations.

Crafting Conundrums

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Author : Ellie Baker
Publisher : CRC Press
ISBN 13 : 1466588497
Total Pages : 272 pages
Book Rating : 4.4/5 (665 download)

Book Synopsis Crafting Conundrums by : Ellie Baker

Download or read book Crafting Conundrums written by Ellie Baker and published by CRC Press. This book was released on 2016-04-19 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for crafters, puzzle lovers, and pattern designers alike, Crafting Conundrums: Puzzles and Patterns for the Bead Crochet Artist provides methods, challenges, and patterns that offer a springboard for creative exploration. All are illustrated with beautiful color diagrams and photographs. Experienced bead crochet crafters looking for a project may choose to skip ahead to the pattern pages and begin crocheting from an abundance of unique, mathematically inspired designs. Those wishing to design their own patterns will find many useful tools, template patterns, and a new methodology for understanding how to do so even without using math. Puzzle lovers without previous knowledge of bead crochet will also find ample inspiration for learning the craft. The first part of the book describes the basic requirements and constraints of a bead crochet pattern and explains what makes designing in this medium so tricky. The authors present their new design framework and offer insight on how best to approach design choices and issues unique to bead crochet. The second part presents a series of bead crochet design challenges informed by colorful bits of mathematics, including topology, graph theory, knot theory, tessellations, and wallpaper groups. Each chapter in this section begins with a design puzzle accompanied by an introduction to the mathematical idea that inspired it. The authors then discuss what made the challenge difficult, present some of their solutions, and describe the thinking and ideas behind their approach. The final part contains nearly 100 original bead crochet patterns, including solutions to all the design challenges. This part also provides a tutorial on the fundamentals of bead crochet technique. Behind the deceptively simple and uniform arrangement of beads is a subtle geometry that produces compelling design challenges and fascinating mathematical structures. In color throughout, Crafting Conundrums gives both math enthusiasts and crafters an innovative approach to creating bead crochet patterns while addressing a variety of mathematically inspired design questions. Supplementary materials, including demo videos, are available on the book’s CRC Press web page.

Crafting by Concepts

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Author : sarah-marie belcastro
Publisher : CRC Press
ISBN 13 : 1439867682
Total Pages : 264 pages
Book Rating : 4.4/5 (398 download)

Book Synopsis Crafting by Concepts by : sarah-marie belcastro

Download or read book Crafting by Concepts written by sarah-marie belcastro and published by CRC Press. This book was released on 2016-04-19 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the editors of the popular Making Mathematics with Needlework, this book presents projects that highlight the relationship between types of needlework and mathematics. Chapters start with accessible overviews presenting the interplay between mathematical concepts and craft expressions. Following sections explain the mathematics in more detail, and provide suggestions for classroom activities. Each chapter ends with specific crafting instructions. Types of needlework included are knitting, crochet, needlepoint, cross-stitch, quilting, temari balls, beading, tatting, and string art. Instructions are written as ordinary patterns, so the formatting and language will be familiar to crafters.

Experiencing Geometry

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Author : David Wilson Henderson
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.F/5 ( download)

Book Synopsis Experiencing Geometry by : David Wilson Henderson

Download or read book Experiencing Geometry written by David Wilson Henderson and published by Prentice Hall. This book was released on 2005 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience--including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.

Crochet Coral Reef

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Author : Margaret Wertheim
Publisher :
ISBN 13 : 9780977962235
Total Pages : 0 pages
Book Rating : 4.9/5 (622 download)

Book Synopsis Crochet Coral Reef by : Margaret Wertheim

Download or read book Crochet Coral Reef written by Margaret Wertheim and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now perhaps the world's largest participatory art and science project, the Crochet Coral Reef combines mathematics, marine biology, environmental consciousness-raising and community art practice. Almost 8,000 people around the world have contributed to making an ever-evolving archipelago of giant woolen seascapes, which have been exhibited at the Hayward Gallery, the Smithsonian and many other venues. This fully illustrated book, written by the project's creators--Margaret and Christine Wertheim of the Institute For Figuring--brings together the scientific and mathematical content behind the project, along with essays about the artistic and cultural resonances of this unique experiment in radical craft practice. With a wealth of color illustrations, the book serves as a record of the 30-plus Crochet Reefs worldwide and names all 7,000-plus contributors in a specially designed section.

Figuring Fibers

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Author : Carolyn Yackel
Publisher : American Mathematical Soc.
ISBN 13 : 1470429314
Total Pages : 232 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis Figuring Fibers by : Carolyn Yackel

Download or read book Figuring Fibers written by Carolyn Yackel and published by American Mathematical Soc.. This book was released on 2018-10-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pick up this book and dive into one of eight chapters relating mathematics to fiber arts! Amazing exposition transports any interested person on a mathematical exploration that is rigorous enough to capture the hearts of mathematicians. The zenith of creativity is achieved as readers are led to knit, crochet, quilt, or sew a project specifically designed to illuminate the mathematics through its physical realization. The beautiful finished pieces provide a visual understanding of the mathematics that can be shared with those who view them. If you love mathematics or fiber arts, this book is for you!

Perfect Rigour

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Author : Masha Gessen
Publisher : Icon Books Ltd
ISBN 13 : 1848313098
Total Pages : 119 pages
Book Rating : 4.8/5 (483 download)

Book Synopsis Perfect Rigour by : Masha Gessen

Download or read book Perfect Rigour written by Masha Gessen and published by Icon Books Ltd. This book was released on 2011-03-03 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2006, an eccentric Russian mathematician named Grigori Perelman solved one of the world's greatest intellectual puzzles. The Poincare conjecture is an extremely complex topological problem that had eluded the best minds for over a century. In 2000, the Clay Institute in Boston named it one of seven great unsolved mathematical problems, and promised a million dollars to anyone who could find a solution. Perelman was awarded the prize this year - and declined the money. Journalist Masha Gessen was determined to find out why. Drawing on interviews with Perelman's teachers, classmates, coaches, teammates, and colleagues in Russia and the US - and informed by her own background as a math whiz raised in Russia - she set out to uncover the nature of Perelman's astonishing abilities. In telling his story, Masha Gessen has constructed a gripping and tragic tale that sheds rare light on the unique burden of genius.

Math and Art

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Author : Sasho Kalajdzievski
Publisher : CRC Press
ISBN 13 : 1584889144
Total Pages : 282 pages
Book Rating : 4.5/5 (848 download)

Book Synopsis Math and Art by : Sasho Kalajdzievski

Download or read book Math and Art written by Sasho Kalajdzievski and published by CRC Press. This book was released on 2011-04-28 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With downloadable resources and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art. Basic Math Topics and Their Visual Aspects Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Comprehensive Material for a Math in Art Course Providing all of the material for a complete one-semester course on mathematics in art, this self-contained text shows how artistic practice with mathematics and a comprehension of mathematical concepts are needed to logically and creatively appreciate the field of mathematics.

Illustrating Mathematics

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Author : Diana Davis
Publisher : American Mathematical Soc.
ISBN 13 : 1470461226
Total Pages : 171 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis Illustrating Mathematics by : Diana Davis

Download or read book Illustrating Mathematics written by Diana Davis and published by American Mathematical Soc.. This book was released on 2020-10-16 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.

The Theory That Would Not Die

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Author : Sharon Bertsch McGrayne
Publisher : Yale University Press
ISBN 13 : 0300175094
Total Pages : 336 pages
Book Rating : 4.3/5 (1 download)

Book Synopsis The Theory That Would Not Die by : Sharon Bertsch McGrayne

Download or read book The Theory That Would Not Die written by Sharon Bertsch McGrayne and published by Yale University Press. This book was released on 2011-05-17 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This account of how a once reviled theory, Baye’s rule, came to underpin modern life is both approachable and engrossing" (Sunday Times). A New York Times Book Review Editors’ Choice Bayes' rule appears to be a straightforward, one-line theorem: by updating our initial beliefs with objective new information, we get a new and improved belief. To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok. In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the generations-long human drama surrounding it. McGrayne traces the rule’s discovery by an 18th century amateur mathematician through its development by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—while practitioners relied on it to solve crises involving great uncertainty and scanty information, such as Alan Turing's work breaking Germany's Enigma code during World War II. McGrayne also explains how the advent of computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security. Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.

Freeform Crochet and Beyond

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Author : Renate Kirkpatrick
Publisher : Milner Craft (Paperback)
ISBN 13 : 9781863513852
Total Pages : 0 pages
Book Rating : 4.5/5 (138 download)

Book Synopsis Freeform Crochet and Beyond by : Renate Kirkpatrick

Download or read book Freeform Crochet and Beyond written by Renate Kirkpatrick and published by Milner Craft (Paperback). This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The aim with this freeform crochet book is to encourage the reader to tap into the hidden creativity that lurks within us all, to entice the true beginner with easy starting points that will then lead them on to explore other techniques and experiment with what they learn, free from too many rules and must nots, and, to inspire the more experienced to call upon all the arts and crafts that he or she has explored over the years, in some cases abandoned, and illustrate ways of bringing them together in a truly amazing art form."--Provided by publisher.

Liquid Fire

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Author : Anthony Francis
Publisher : Bell Bridge Books
ISBN 13 : 161194645X
Total Pages : 466 pages
Book Rating : 4.6/5 (119 download)

Book Synopsis Liquid Fire by : Anthony Francis

Download or read book Liquid Fire written by Anthony Francis and published by Bell Bridge Books. This book was released on 2015-05-22 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Thank you to the powers-that-be for the opportunity to be one of the first readers captivated by Dakota Frost and her magical tats. Addictive, sassy, sexy, funny, intense, brilliant." --Bitten By Books, on Frost Moon "With Blood Rock, Anthony Francis's Skindancer series becomes one of my favorites."--Book'd Out, on Blood Rock Magical tattoo artist Dakota Frost is back--fighting a fire that may burn down the world. For millennia, ancient factions of wizards have closely guarded the secrets of liquid fire--distilled from the blood of dragons and the magical key to unbelievably powerful spells. Now, Dakota's flirtation with a fireweaver while visiting San Francisco engulfs her in a magicial feud. Forced to defend herself with her masterwork, a powerful dragon tattoo, Dakota becomes the target of superstitious magicians who believe she's summoned the spirit of a dragon . . . the first step in an incredibly dangerous spell that could create more liquid fire. Soon, Dakota finds herself caught in a magical battle between ageless wizards desperate to seize the rapidly dwindling supply of liquid fire and fireweaver terrorists who'll stop at nothing to keep every last drop of it for themselves. Even if that means killing Dakota. The race is on to find the truth about liquid fire, the secret behind Dakota's magic tattoos, and the message hidden in the fireweaver's secret codes--before the world goes up in flames. Filled with spectacular magic, pyrotechnic action, and kinky romance, LIQUID FIRE is the action-packed third installment in the Dakota Frost, Skindancer series. Epic Award winner Anthony Francis writes the Skindancer series while working on robots for "the Search Engine Which Starts with a 'G'."

The Changing World of Inflammatory Bowel Disease

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Author : Ellen J. Scherl
Publisher : SLACK Incorporated
ISBN 13 : 9781556428418
Total Pages : 296 pages
Book Rating : 4.4/5 (284 download)

Book Synopsis The Changing World of Inflammatory Bowel Disease by : Ellen J. Scherl

Download or read book The Changing World of Inflammatory Bowel Disease written by Ellen J. Scherl and published by SLACK Incorporated. This book was released on 2009 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: IBD and the Elderly.

How to Poo on a Date

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Author : Mats
Publisher :
ISBN 13 : 9781853757822
Total Pages : 0 pages
Book Rating : 4.7/5 (578 download)

Book Synopsis How to Poo on a Date by : Mats

Download or read book How to Poo on a Date written by Mats and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: English miscellaneous writings.