Author: Henry Segerman Publisher: JHU Press ISBN: 1421420368 Category : Mathematics Languages : en Pages : 201
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
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
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: Stephanie Torta Publisher: ISBN: 9781683922094 Category : Architecture Languages : en Pages : 250
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: Fletcher Dunn Publisher: CRC Press ISBN: 1568817231 Category : Computers Languages : en Pages : 848
Book Description
This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
Author: Santos, Ieda M. Publisher: IGI Global ISBN: 1522570195 Category : Education Languages : en Pages : 346
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
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: Joan Horvath Publisher: Apress ISBN: 148422695X Category : Computers Languages : en Pages : 191
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.
Author: Publisher: BRILL ISBN: 9004415130 Category : Education Languages : en Pages : 0
Book Description
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.
Author: Joan Horvath Publisher: Apress ISBN: 1484213238 Category : Computers Languages : en Pages : 213
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: Henry Segerman
Author: Maria Trnkova
Author: Diana Davis
Author: Stephanie Torta
Author: Fletcher Dunn
Author: Santos, Ieda M.
Author: Frederik Dilling
Author: Joan Horvath
Author: 
Author: Joan Horvath