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. Links on this page will lead you to a primer that was written on 3D printing for mathematics professors and their students. 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. After summer 2013, Prof. Aboufadel continued to work in this area, and papers and files are included below.
(Melissa Sherman-Bennett, Sylvanna Krawczyk, and E. Aboufadel, Summer 2013)
Primer on the arXiv (from REU 2013) Supporting Files: Cube as an .stl file Processing .pde file to use Kinect data (Zip file)
(by Lindsay Czap, Fall 2014)
(by E. Aboufadel, Summer 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
A Brief Selection of Interesting Mathematically-Connected 3D Printing Links
Laura Taalman's MakerHome blog -- A mathematics professor created a 3D print every day for a year.
Using "2.5D pyramids" (by Richard Zhang)
A trefoil knot and its fibrations (by Fred Hohman)
OPENSCAD home page (free 3D editor)
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))
Oliver Knill (of Harvard U.)'s pages on 3D printing (includes the Archmides proof)