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.
E. A. Matsumoto and H. Segerman, A mathematical overview and some
applications of gear design
D. M. Anderson, B. Barreto-Rosa, J. D. Calvano, L. Nsair, and E. Sander,
Mathematics of floating 3D printed objects
s. amethyst, S. Maurer, and W. O'Brien, A 3D printed Arduino-powered
interactive Barth Sextic
G. Dorfsman-Hopkins, Deformation spaces and static animations
T. Tihanyi, Making and breaking rules with clay and code: iteration, glitch,
and mathematical thinking
Janet Chen, K. Delp, and S. Paul, Manipulative calculus: active learning with
3D models
C. R. H. Hanusa, Encouraging student creativity in mathematics through 3D
design and 3D printing
I. Sterling, Teaching 3D printing and mathematics at a small public liberal
arts college
M. Trnkova and A. Yarmola, Some mathematical problems motivated by 3D printing
Maria Trnkova, University of California, Davis, CA.
Andrew Yarmola, Princeton University, NJ.
