Visualizing Mathematics with 3D Printing PDF Download

Author: Henry Segerman
Publisher: JHU Press
ISBN: 1421420368
Category : Mathematics
Languages : en
Pages : 201

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Book Description
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.

Author: Maria Trnkova
Publisher: American Mathematical Society
ISBN: 1470469162
Category : Mathematics
Languages : en
Pages : 242

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Book Description
This volume is based on lectures delivered at the 2022 AMS Short Course “3D Printing: Challenges and Applications” held virtually from January 3–4, 2022. Access to 3D printing facilities is quickly becoming ubiquitous across college campuses. However, while equipment training is readily available, the process of taking a mathematical idea and making it into a printable model presents a big hurdle for most mathematicians. Additionally, there are still many open questions around what objects are possible to print, how to design algorithms for doing so, and what kinds of geometries have desired kinematic properties. This volume is focused on the process and applications of 3D printing for mathematical education, research, and visualization, alongside a discussion of the challenges and open mathematical problems that arise in the design and algorithmic aspects of 3D printing. The articles in this volume are focused on two main topics. The first is to make a bridge between mathematical ideas and 3D visualization. The second is to describe methods and techniques for including 3D printing in mathematical education at different levels— from pedagogy to research and from demonstrations to individual projects. We hope to establish the groundwork for engaged academic discourse on the intersections between mathematics, 3D printing and education.

Author: Diana Davis
Publisher: American Mathematical Soc.
ISBN: 1470461226
Category : Education
Languages : en
Pages : 171

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Book Description
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.

Author: Joan Horvath
Publisher: Apress
ISBN: 1484213238
Category : Computers
Languages : en
Pages : 213

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Book Description
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

Author: Santos, Ieda M.
Publisher: IGI Global
ISBN: 1522570195
Category : Education
Languages : en
Pages : 346

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Book Description
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.

Author: Frederik Dilling
Publisher: Springer Nature
ISBN: 3658388676
Category : Mathematics
Languages : en
Pages : 322

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Book Description
The volume presents a collection of articles on the use of 3D printing technology in mathematics education and in mathematics teacher training. It contains both basic research-oriented contributions as well as reflected descriptions of concrete developments for teaching. The authors of this compilation share a positive attitude towards the possibilities that the use of 3D printing technology (understood as an interplay of software and hardware) can unfold for mathematics education, but critically evaluate from a mathematics education research perspective when, where and how an application can enable an added value for the learning of a mathematical content.

Author: Stephanie Torta
Publisher:
ISBN: 9781683922094
Category : Architecture
Languages : en
Pages : 250

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Book Description
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

Author: Brian Evans
Publisher: Apress
ISBN: 1430243937
Category : Computers
Languages : en
Pages : 320

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Book Description
Desktop or DIY 3D printers are devices you can either buy preassembled as a kit, or build from a collection of parts to design and print physical objects including replacement household parts, custom toys, and even art, science, or engineering projects. Maybe you have one, or maybe you're thinking about buying or building one. Practical 3D Printers takes you beyond how to build a 3D printer, to calibrating, customizing, and creating amazing models, including 3D printed text, a warship model, a robot platform, windup toys, and arcade-inspired alien invaders. You'll learn about the different types of personal 3D printers and how they work; from the MakerBot to the RepRap printers like the Huxley and Mendel, as well as the whiteAnt CNC featured in the Apress book Printing in Plastic. You'll discover how easy it is to find and design 3D models using web-based 3D modeling, and even how to create a 3D model from a 2D image. After learning the basics, this book will walk you through building multi-part models with a steampunk warship project, working with meshes to build your own action heroes, and creating an autonomous robot chassis. Finally, you'll find even more bonus projects to build, including wind-up walkers, faceted vases for the home, and a handful of useful upgrades to modify and improve your 3D printer.

Author: A.J.M. van Wijk
Publisher: IOS Press
ISBN: 1614994862
Category : Business & Economics
Languages : en
Pages : 86

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Book Description
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.

Author: Joan Horvath
Publisher: Apress
ISBN: 148422695X
Category : Computers
Languages : en
Pages : 191

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Book Description
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.