Visualizing Mathematics with 3D Printing

by Henry Segerman
Visualizing Mathematics with 3D Printing
Author: Henry Segerman
Publisher: JHU Press
Total Pages: 201
Release: 2016-10-04
Genre: Mathematics
ISBN: 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

by Henry Segerman
Visualizing Mathematics with 3D Printing
Author: Henry Segerman
Publisher: JHU Press
Total Pages: 201
Release: 2016-10-04
Genre: Computers
ISBN: 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

by Diana Davis
Illustrating Mathematics
Author: Diana Davis
Publisher: American Mathematical Soc.
Total Pages: 171
Release: 2020-10-16
Genre: Education
ISBN: 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.

Interdisciplinary and International Perspectives on 3D Printing in Education

by Santos, Ieda M.
Interdisciplinary and International Perspectives on 3D Printing in Education
Author: Santos, Ieda M.
Publisher: IGI Global
Total Pages: 369
Release: 2018-11-23
Genre: Education
ISBN: 1522570195
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Although 3D printing technologies are still a rarity in many classrooms and other educational settings, their far-reaching applications across a wide range of subjects make them a desirable instructional aid. Effective implementation of these technologies can engage learners through project-based learning and exploration of objects. Interdisciplinary and International Perspectives on 3D Printing in Education is a collection of advanced research that facilitates discussions on interdisciplinary fields and international perspectives, from kindergarten to higher education, to inform the uses of 3D printing in education from diverse and broad perspectives. Covering topics such as computer-aided software, learning theories, and educational policy, this book is ideally designed for educators, practitioners, instructional designers, and researchers.

3D Printed Science Projects

by Joan Horvath
3D Printed Science Projects
Author: Joan Horvath
Publisher: Apress
Total Pages: 213
Release: 2016-05-11
Genre: Computers
ISBN: 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

3D Printing

by Stephanie Torta
3D Printing
Author: Stephanie Torta
Publisher:
Total Pages: 250
Release: 2018-09-30
Genre: Architecture
ISBN: 9781683922094
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This book is designed as an overview of the technology, applications, and design issues associated with the new 3D printing technology. It will be divided into three parts. Part 1 will cover a brief background of the history and evolution of 3D printing, along with their use in industry and personal consumer end. Part 2 will document three different projects from start to finish. This will show a variety of printers and what is needed before a project starts, as well as some of the pitfalls to watch out for when creating 3D prints. Part 3 will be a look ahead to how 3D printing will continue to evolve and how 3D printing is already in our pop-culture. Companion files are included with applications and examples of 3D printing. Features: * Provides an overview of the technology, applications, and design issues associated with the new 3D printing technology * Includes review questions, discussion / essay questions and "Applying What You've Learned" in every chapter * Companion files are included with projects, images, and samples of 3D printing

3D Printing in Medicine

by Deepak M. Kalaskar
3D Printing in Medicine
Author: Deepak M. Kalaskar
Publisher: Woodhead Publishing
Total Pages: 424
Release: 2022-10-18
Genre: Science
ISBN: 0323902200
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3D Printing in Medicine, Second Edition examines the rapidly growing market of 3D-printed biomaterials and their clinical applications. With a particular focus on both commercial and premarket tools, the book looks at their applications within medicine and the future outlook for the field. The chapters are written by field experts actively engaged in educational and research activities at the top universities in the world. The earlier chapters cover the fundamentals of 3D printing, including topics such as materials and hardware. The later chapters go on to cover innovative applications within medicine such as computational analysis of 3D printed constructs, personalized 3D printing - including 3D cell and organ printing and the role of AI - with a subsequent look at the applications of high-resolution printing, 3D printing in diagnostics, drug development, 4D printing, and much more. This updated new edition features completely revised content, with additional new chapters covering organs-on-chips, bioprinting regulations and standards, intellectual properties, and socio-ethical implications of organs-on-demand. - Reviews a broad range of biomedical applications of 3D printing biomaterials and technologies - Provides an interdisciplinary look at 3D printing in medicine, bridging the gap between engineering and clinical fields - Includes completely updated content with additional new chapters, covering topics such as organs-on-chips, bioprinting regulations, intellectual properties, medical standards in 3D printing, and more

Integrating 3D Printing into Teaching and Learning

by
Integrating 3D Printing into Teaching and Learning
Author:
Publisher: BRILL
Total Pages: 0
Release: 2020-01-20
Genre: Education
ISBN: 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

by A.J.M. van Wijk
3D Printing with Biomaterials
Author: A.J.M. van Wijk
Publisher: IOS Press
Total Pages: 86
Release: 2015-01-15
Genre: Business & Economics
ISBN: 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.