Visualizing Mathematics with 3D Printing

Visualizing Mathematics with 3D Printing

Author: Henry Segerman

Publisher: JHU Press

Published: 2016-10-04

Total Pages: 201

ISBN-13: 1421420368

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The first book to explain mathematics using 3D printed models. Winner of the Technical Text of the Washington Publishers Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer. Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic.


Visualizing Mathematics with 3D Printing

Visualizing Mathematics with 3D Printing

Author: Henry Segerman

Publisher: JHU Press

Published: 2016-10-04

Total Pages: 201

ISBN-13: 142142035X

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The first book to explain mathematics using 3D printed models. Winner of the Technical Text of the Washington Publishers Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer. Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic.


Illustrating Mathematics

Illustrating Mathematics

Author: Diana Davis

Publisher: American Mathematical Soc.

Published: 2020-10-16

Total Pages: 171

ISBN-13: 1470461226

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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.


3D Printing

3D Printing

Author: Stephanie Torta

Publisher: Stylus Publishing, LLC

Published: 2019-03-07

Total Pages: 453

ISBN-13: 1683922107

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This book is designed as an introduction to the field of 3D printing. It includes an overview of 3D printing technology in industry, education, and the exploding area of Do-It-Yourself. It contains a detailed look at the common 3D printers, materials, and software. Using full-color images throughout, the book guides you on setting up your own printer and performing calibration tasks, including descriptions of printing methods, best practices, pitfalls to avoid, and how to finish a completed project. Divided into three parts, the book covers a brief history and evolution of 3D printers, along with their use in industry and in personal consumer use in Part 1. Part 2 gets you started with the set up and use of a common 3D printer, from initial hardware and material calibration and safety, to how the software functions work, and how to acquire 3D objects to print. It then showcases three different projects from start to finish. Part 3 concentrates on buying your own printer, the common features of personal 3D printers, and includes sections for the adventurous on post-market modifications. Companion files are included with videos, applications, and examples of 3D printing. Features: Companion files are included with printable 3D objects in common formats, additional lessons, checklists, figures from the text, and videos showing time-lapse, printing, and print refinement Provides an overview of the technology, applications, and design issues associated with 3D printing technology Includes review questions, discussion/essay questions and "Applying What You’ve Learned" in every chapter


3D Printed Science Projects

3D Printed Science Projects

Author: Joan Horvath

Publisher: Apress

Published: 2016-05-11

Total Pages: 213

ISBN-13: 1484213238

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Create 3D printable models that can help students from kindergarten through grad school learn math, physics, botany, chemistry, engineering and more. This book shows parents and teachers how to use the models inside as starting points for 3D printable explorations. Students can start with these models and vary them for their own explorations. Unlike other sets of models that can just be scaled, these models have the science built-in to allow for more insight into the fundamental concepts. Each of the eight topics is designed to be customized by you to create a wide range of projects suitable for science fairs, extra credit, or classroom demonstrations. Science fair project suggestions and extensive "where to learn more" resources are included, too. You will add another dimension to your textbook understanding of science. What You'll Learn Create (and present the science behind) 3D printed models. Use a 3D printer to create those models as simply as possible. Discover new science insights from designing 3D models. Who This Book Is For Parents and teachers


Integrating 3D Printing into Teaching and Learning

Integrating 3D Printing into Teaching and Learning

Author:

Publisher: BRILL

Published: 2020-01-20

Total Pages: 0

ISBN-13: 9004415130

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This book covers recent attempts to integrate 3D printing into the curriculum in schools and universities and research on its efficacies and usefulness from the practitioners' perspectives. The book unveils the exemplary works by educators and researchers in the field highlighting the current trends, theoretical and practical aspects of 3D printing in teaching and learning.


3D Printing with Biomaterials

3D Printing with Biomaterials

Author: A.J.M. van Wijk

Publisher: IOS Press

Published: 2015-01-15

Total Pages: 86

ISBN-13: 1614994862

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Additive manufacturing or 3D printing, manufacturing a product layer by layer, offers large design freedom and faster product development cycles, as well as low startup cost of production, on-demand production and local production. In principle, any product could be made by additive manufacturing. Even food and living organic cells can be printed. We can create, design and manufacture what we want at the location we want. 3D printing will create a revolution in manufacturing, a real paradigm change. 3D printing holds the promise to manufacture with less waste and energy. We can print metals, ceramics, sand, synthetic materials such as plastics, food or living cells. However, the production of plastics is nowadays based on fossil fuels. And that’s where we witness a paradigm change too. The production of these synthetic materials can be based also on biomaterials with biomass as feedstock. A wealth of new and innovative products are emerging when we combine these two paradigm changes: 3D printing and biomaterials. Moreover, the combination of 3D printing with biomaterials holds the promise to realize a truly sustainable and circular economy.


3D Printed Science Projects Volume 2

3D Printed Science Projects Volume 2

Author: Joan Horvath

Publisher: Apress

Published: 2017-05-22

Total Pages: 191

ISBN-13: 148422695X

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Learn physics, engineering, and geology concepts usually seen in high school and college in an easy, accessible style. This second volume addresses these topics for advanced science fair participants or those who just like reading about and understanding science. 3D Printed Science Project Volume 2 describes eight open-source 3D printable models, as well as creative activities using the resulting 3D printed pieces. The files are designed to print as easily as possible, and the authors give tips for printing them on open source printers. As 3D printers become more and more common and affordable, hobbyists, teachers, parents, and students stall out once they've printed some toys and a few household items. To get beyond this, most people benefit from a “starter set” of objects as a beginning point in their explorations, partially just to see what is possible. This book tells you the solid science stories that these models offer, and provides them in open-source repositories. What You Will Learn Create (and present the science behind) 3D printed models Review innovative ideas for tactile ways to learn concepts in engineering, geology and physics Learn what makes a models easy or hard to 3D print Who This Book Is For The technology- squeamish teacher and parents who want their kids to learn something from their 3D printer but don’t know how, as well as high schoolers and undergraduates.


3D Printing

3D Printing

Author: Sara Russell Gonzalez

Publisher: Rowman & Littlefield

Published: 2016-05-08

Total Pages: 191

ISBN-13: 1442255498

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Planning and implementing a 3D printing service in a library may seem like a daunting task. Based upon the authors’ experience as early adopters of 3D technology and running a successful 3D printing service at a large academic library, this guide provides the steps to follow when launching a service in any type of library. Detailed guidance and over 50 graphics provide readers with sage guidance and detailed instructions on: planning a proposal printer selection tips preparing the location addressing staff concerns for new service developing service workflows and procedures managing inevitable disasters developing policies conducting the “reference interview” for 3D printing staff training tips outreach activities This book brings into one place all the guidance you need for developing and implementing a 3D printing service in any library.


Handbook of Research on Innovative Digital Practices to Engage Learners

Handbook of Research on Innovative Digital Practices to Engage Learners

Author: Bull, Prince Hycy

Publisher: IGI Global

Published: 2019-06-28

Total Pages: 492

ISBN-13: 1522594396

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Digital integration is the driving force of teaching and learning at all levels of education. As more non-traditional students seek credentialing, certification, and degrees, institutions continue to push the boundaries of innovative practices to meet the needs of diverse students. Programs and faculty have moved from merely using technology and learning management systems to unique and innovative ways to engage learners. The Handbook of Research on Innovative Digital Practices to Engage Learners is an essential scholarly publication that offers theoretical frameworks, delivery models, current guidelines, and digital design techniques for integrating technological advancements in education contexts to enforce student engagement and positive student outcomes. Featuring a wide range of topics such as gamification, wearable technologies, and distance education, this book is ideal for teachers, curriculum developers, instructional designers, principals, deans, administrators, researchers, academicians, education professionals, and students.