Crocheting Adventures with Hyperbolic Planes

Tactile Mathematics, Art and Craft for all to Explore, Second Edition

Author: Daina Taimina

Publisher: CRC Press

ISBN: 1351402196

Category: Mathematics

Page: 200

View: 7551

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

Author: Daina Taimina

Publisher: A K Peters, Ltd.

ISBN: 1568814526

Category: Crafts & Hobbies

Page: 148

View: 5377

This richly illustrated book discusses non-Euclidean geometry and the hyperbolic plane in an accessible way. The author provides instructions for how to crochet models of the hyperbolic plane, pseudosphere, and catenoid/helicoids. With this knowledge, the reader has a hands-on tool for learning the properties of the hyperbolic plane and negative curvature. The author also explores geometry and its historical connections with art, architecture, navigation, and motion, as well as the history of crochet, which provides a context for the significance of a physical model of a mathematical concept that has plagued mathematicians for centuries.

Making Mathematics with Needlework

Ten Papers and Ten Projects

Author: sarah-marie belcastro,Carolyn Yackel

Publisher: CRC Press

ISBN: 1439865132

Category: Mathematics

Page: 200

View: 8781

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.

Crochet Coral Reef

A Project

Author: Margaret Wertheim,Christine Wertheim

Publisher: N.A

ISBN: 9780977962235

Category: Design

Page: 206

View: 4288

"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."--Amazon.

Crafting by Concepts

Fiber Arts and Mathematics

Author: sarah-marie belcastro,Carolyn Yackel

Publisher: CRC Press

ISBN: 1439867682

Category: Mathematics

Page: 264

View: 1635

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.

Crafting Conundrums

Puzzles and Patterns for the Bead Crochet Artist

Author: Ellie Baker,Susan Goldstine

Publisher: CRC Press

ISBN: 1466588497

Category: Mathematics

Page: 272

View: 3284

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.

Experiencing Geometry

Euclidean and Non-Euclidean with History

Author: David Wilson Henderson,Daina Taimina

Publisher: Prentice Hall


Category: Mathematics

Page: 392

View: 1057

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.

Introduction to Hyperbolic Geometry

Author: Arlan Ramsay,Robert D. Richtmyer

Publisher: Springer Science & Business Media

ISBN: 1475755856

Category: Mathematics

Page: 289

View: 3330

This book is an introduction to hyperbolic and differential geometry that provides material in the early chapters that can serve as a textbook for a standard upper division course on hyperbolic geometry. For that material, the students need to be familiar with calculus and linear algebra and willing to accept one advanced theorem from analysis without proof. The book goes well beyond the standard course in later chapters, and there is enough material for an honors course, or for supplementary reading. Indeed, parts of the book have been used for both kinds of courses. Even some of what is in the early chapters would surely not be nec essary for a standard course. For example, detailed proofs are given of the Jordan Curve Theorem for Polygons and of the decomposability of poly gons into triangles, These proofs are included for the sake of completeness, but the results themselves are so believable that most students should skip the proofs on a first reading. The axioms used are modern in character and more "user friendly" than the traditional ones. The familiar real number system is used as an in gredient rather than appearing as a result of the axioms. However, it should not be thought that the geometric treatment is in terms of models: this is an axiomatic approach that is just more convenient than the traditional ones.

Freeform Style

Blend Knit and Crochet to Create Fiber Art Wearables

Author: Jonelle Raffino,Prudence Mapstone

Publisher: North Light Books

ISBN: 9781600611384

Category: Crafts & Hobbies

Page: 144

View: 7193

Everything you need to get started, get hooked, and get your freedom groove on! Grab your needles and hooks, unleash your creativity, and join lifelong fiber artists Jonelle Raffino and Prudence Mapstone for some freedom fun! Using yummy yarns and a sensational assortment of stitches, Freeform Style transforms straightforward patterns into wearable works of art. Inside, color and texture collide in a collage of yarns as 30 projects demonstrate the joys of freeform knitting and crochet - from a simple scarf made magical with fancy fringe to a magnificent cape that becomes anything you want it to be. The results can be wild and jazzy or simple and elegant, but always guaranteed to stand out from the crowd. Choose from 10 patterns for garments and accessories, each presented in three skill-level variations - from simple stitches and eye-catching embellishments to 100% freeform garments. Follow along with step-by-step instructions for a fabulous variety of motifs and trims - patches, embroidery, starfish, leaves, flowers, domes, ruffles, corkscrews, zigzags and much more! Brush up on your knitting and crochet techniques with the comprehensive Basics section. Be inspired by impressive examples of the authors' freeform work. Whether you're a beginner looking to inject a little bit of whimsy and personality into your projects, or an expert itching to punch up patterns into original creations, this book will how you how to make Freeform Style YOUR style!

The Honors Class

Hilbert's Problems and Their Solvers

Author: Ben Yandell

Publisher: CRC Press

ISBN: 1439864225

Category: Mathematics

Page: 506

View: 7333

This eminently readable book focuses on the people of mathematics and draws the reader into their fascinating world. In a monumental address, given to the International Congress of Mathematicians in Paris in 1900, David Hilbert, perhaps the most respected mathematician of his time, developed a blueprint for mathematical research in the new century. Jokingly called a natural introduction to thesis writing with examples, this collection of problems has indeed become a guiding inspiration to many mathematicians, and those who succeeded in solving or advancing their solutions form an Honors Class among research mathematicians of this century. In a remarkable labor of love and with the support of many of the major players in the field, Ben Yandell has written a fascinating account of the achievements of this Honors Class, covering mathematical substance and biographical aspects.

How Green Were the Nazis?

Nature, Environment, and Nation in the Third Reich

Author: Franz-Josef Brüggemeier,Mark Cioc,Thomas Zeller

Publisher: Ohio University Press

ISBN: 0821416472

Category: History

Page: 283

View: 622

The Nazis created nature preserves, contemplated sustainable forestry, curbed air pollution, and designed the autobahn highway network as a way of bringing Germans closer to nature. How Green Were the Nazis? is the first book to examine the ideology and practice of environmental protection in Nazi Germany. Environmentalists and conservationists in Germany welcomed the rise of the Nazi regime with open arms, for the most part, and hoped that it would bring about legal and institutional changes. However, environmentalists soon realized that the rhetorical attention that they received from the regime did not always translate into action. By the late 1930s, nature and the environment became less pressing concerns as Nazi Germany prepared and executed its extensive war. Based on prodigious archival research, and written by some of the most important scholars in the field of twentieth-century German history, How Green Were the Nazis? illuminates the ideological overlap between Nazi ideas and conservationist agendas. Moreover, this landmark book underscores that the "green" policies of the Nazis were more than a mere episode or aberration in environmental history.------EDITORS---Franz-Josef Brueggemeier is a professor of history at the university of Freiburg, Germany. He has published extensively in the field of environmental history in nineteenth- and twentieth-century Europe.Mark Cioc is a professor of history at the University of California, Santa Cruz, and editor of the journal Environmental History. He is the author of The Rhine: An Eco-Biography, 1815-2000. Thomas Zeller is an assistant professor in the department of history at the University of Maryland, College Park. He is the author of Strae, Bahn, Panorama, translated as Driving Germany.

How to Poo on a Date

The Lovers' Guide to Toilet Etiquette

Author: Mats,Enzo

Publisher: Prion Books

ISBN: 9781853757822

Category: Humor

Page: 144

View: 8093

A guide to using the restroom on a date offers advice for handling such situations as being ill, an overflowing toilet, and not enough toilet paper.

Math and Art

An Introduction to Visual Mathematics

Author: Sasho Kalajdzievski

Publisher: CRC Press

ISBN: 1584889144

Category: Mathematics

Page: 272

View: 5177

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 a CD-ROM 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.

Modular Mix

Author: Edie Eckman

Publisher: Annies Attic Llc

ISBN: 9781596356825

Category: Crafts & Hobbies

Page: 27

View: 9172

Step-by-step techniques for piecing together an afghan

The Elusive Wow

Searching for Extraterrestrial Intelligence

Author: Robert H. Gray

Publisher: N.A

ISBN: 9780983958444

Category: Body, Mind & Spirit

Page: 242

View: 4890

Publisher description: Searching for signals from other worlds is a great venture of our time. If extraterrestrials are out there, we may be able to find their broadcasts--which would reveal fascinating New Worlds that are home to minds something like our own. Over one hundred searches for 'little green men' have been made over the last 50 years without finding ET. Most searches were modest--often a single professor working part-time, viewing a short list of stars for a few minutes each, and listening on a thin sliver of frequency smaller than one television channel. The sky could be blaring with radio super-stations at places on the radio dial that we've not yet tuned, or flickering with laser flashes that our few optical searches have yet to spot. It's possible that nobody is out there, or that they don't broadcast, or that they are too far away, or that our searches will be fruitless for other reasons. But it's worth searching because finding Others would change our view of things in a big way--and might even bring us goodies including better television programming --

Why String Theory?

Author: Joseph Conlon

Publisher: CRC Press

ISBN: 135198781X

Category: Mathematics

Page: 260

View: 9771

An Entertaining and Enlightening Guide to the Who, What, and Why of String Theory During the last 50 years, numerous physicists have tried to unravel the secrets of string theory. Yet why do these scientists work on a theory lacking experimental confirmation? Why String Theory? provides the answer, offering a highly readable and accessible panorama of the who, what, and why of this large aspect of modern theoretical physics. The author, a theoretical physics professor at the University of Oxford and a leading string theorist, explains what string theory is and where it originated. He describes how string theory fits into physics and why so many physicists and mathematicians find it appealing when working on topics from M-theory to monsters and from cosmology to superconductors.

Collectible Spoons of the 3rd Reich

Author: James A. Yannes

Publisher: Trafford on Demand Pub

ISBN: 9781425186951

Category: Antiques & Collectibles

Page: 224

View: 9435

About the Book Collectible Spoons of the 3rd Reich is a detailed, heavily illustrated reference book containing relevant historical exposition on many of the personal, organizational and commemorative spoons of the 3rd Reich period from 1933 to 1945. These spoons, unlike most other collectibles from this period, were actually owned and used daily by the people and organizations of those times. The book includes many spoon types, for example: Hitler’s personal silverware, Red Cross, SS, the U-47 etc. With over 200 photos / graphics and over 19,000 words of text, the book extensively explores the relevant historical highlights which in turn illuminate this unique period in history as reflected by the spoons. These spoons are history that you can hold in your hand and were once in the hands of the German history makers of the 3rd Reich era. As the years pass, the 3rd Reich era will move from the monster of history to just plain history as did the Napoleonic era and like Napoleon collectibles, there is increasing interest in acquiring 3rd Reich collectibles, although understandably relatively modest in our lifetime. Thus, this book should be of interest to the collector and educational for the casual reader of history.

Learn Embossed Crochet

Author: Lianka Azulay

Publisher: Annie's Wholesale

ISBN: 1590122380

Category: Crafts & Hobbies

Page: 52

View: 4536

The technique of Embossed Crochet creates a textured fabric where the beauty of knitted cable leaves have been translated to crochet. This book includes 10 fashion designs such as a scarf, cowl, vest, handbags, blankets and hat, made using light- and worsted-weight yarns. Written instructions as well illustrations, photos and symbol crochet are included to help you with this exciting new technique.