Papers and Projects
(by Zachary Ash, Fall 2017)(by E. Aboufadel, Summer 2015)
Mapping Images onto Solids in Mathematica
3D Printing a Pendant with a Logo
See more pendants, ornaments, etc. by Prof. Aboufadel on the Thingiverse
(by Lindsay Czap, Fall 2014)
3D Printing an Octohedron
Related File: Alternative version "Octohedron Skeleton" in OPENSCAD (Zip file)
(by E. Aboufadel, Winter 2014)
3D Printing the MAA Logo's Icosohedron
Supporting Files: Mathematica file
Large icosohedron file
Small icosohedron file
(by Melissa Sherman-Bennett, Sylvanna Krawczyk, and E. Aboufadel, Summer 2013)
During the summer of 2013, Melissa Sherman-Bennett, Sylvanna Krawczyk, and Prof. Edward Aboufadel investigated how to use a 3D printer, applying mathematical ideas to data sets to print a variety of objects. They wrote a primer on 3D printing for mathematics professors and their students (link available below). In the primer is the description of a number of projects that can be completed with a 3D printer. For many of the projects, Mathematica is used to design objects that mathematicians may be interested in printing. Included in the projects that are described is a method to acquire data from an XBox Kinect.
Talk to the Hand: Creating a 3D Print From Photographs
Primer on the arXiv (from REU 2013)
Supporting Files: Cube as an .stl file, Processing .pde file to use Kinect data (Zip file)
A Brief Selection of Interesting Mathematically-Connected 3D Printing Links
3D Printing Dictionary, from ZMorph3D
Dilanka Wettewa's Ultimate 3D-Printing Cheat Sheet
August 2015: What Can A Mathematician Do With A 3D Printer? -- Contributed Paper Session at MathFest, Washington, DC (TCPS #9)
September 2016: Enhancing Mathematical Learning Experiences with 3D Printing -- Session at the 2016 SIAM Conference on Applied Mathematics Education: Part I, Part II.
Laura Taalman's MakerHome blog -- A mathematics professor created a 3D print every day for a year.
Elizabeth Denne's Mathematical Visualization page
3D Printed Models for Multivariable Calculus (by John Zweck)
OPENSCAD home page (free 3D editor)
Using "2.5D pyramids" (by Richard Zhang)
A trefoil knot and its fibrations (by Fred Hohman)
David Austin's Feature Column on the construction of the extruder path from the STL file.
Francesco de Comité's homepage (using several programming languages (Java+ImageJ), or software tools with programming facilities (Povray, Blender))
Henry Segerman's paper on 3D printing for mathematics visualization & Segerman's web page on 3D printing
Oliver Knill (of Harvard U.)'s pages on 3D printing (includes the Archmides proof)
David Bachman's 3D printing pages
Gregor Luetolf's "Gem Komplett" (a single object which contains all the Archimedean and Catalan solids). More here.
3D-printed parabola manipulative (by Matthew Peterson)