3D printing in mathematics / Maria Trnkova, Andrew Yarmola, editors.

Format:

Book

Contributor:

Trnkova, Maria, 1981- Editor.

Yarmola, Andrew, Editor.

Series:

Proceedings of symposia in applied mathematics ; v. 79.

Proceedings of symposia in applied mathematics, 0160-7634 ; volume 79

Language:

English

Subjects (All):

Three-dimensional imaging.

Three-dimensional imaging--Mathematics.

Three-dimensional printing.

Three-dimensional printing in education.

Imaging, Three-Dimensional.

Printing, Three-Dimensional.

three-dimensional.

3-D printing.

Medical Subjects:

Imaging, Three-Dimensional.

Printing, Three-Dimensional.

Genre:

Instructional and educational works.

Physical Description:

xi, 227 pages : illustrations (some color) ; 26 cm

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2023]

Summary:

"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."-- Taken from back cover.

Contents:

A mathematical overview and some applications of gear design / Elisabetta A. Matsumoto and Henry Segerman

Mathematics of floating 3D printed objects / Daniel M. Anderson, Brandon G. Barreto-Rosa, Joshua D. Calvano, Lujain Nsair, and Evelyn Sander

A 3D printed Arduino-powered interactive Barth Sextic / Silviana amethyst, Samantha Maurer, and William O'Brien

Deformation spaces and static animations / Gabriel Dorfsman-Hopkins

Making and breaking rules with clay and code : Iteration, glitch, and mathematical thinking / Timea Tihanyi

Manipulative calculus : Active learning with 3D models / Janet Chen, Kelly Delp, and Stepan Paul

Encouraging student creativity in mathematics through 3D design and 3D printing / Christopher R. H. Hanusa

Teaching 3D printing and mathematics at a small public liberal arts college / Ivan Sterling

Some mathematical problems motivated by 3D printing / Maria Trnkova and Andrew Yarmola.

Notes:

"2022 Virtual AMS Short Course on 3D Printing : Challenges and Applications, January 3-4, 2022"--Title page.

Includes bibliographical references and index.

Other Format:

Online version: 3D printing in mathematics.

ISBN:

9781470469160

1470469162

OCLC:

1380997472

Publisher Number:

90101709387