This is thesis project page of Elizabeth Slavkovsky who wrote
this thesis towards a masters in the
Graduate program for Mathematics for teaching.
The thesis subject is on 3D printing (a special case of rapid prototyping)
in education and has the title:

"Feasibility study for teaching geometry and other
topics using three-dimensional printers"

July 3, 2013: Gregor Luetolf has printed the gem in a total printing time of 200 hours. Wow.

June 24, 2013:An extended version of the Trieste article with more
illustrations, source code and insight which came from the workshop.
ArXiv. And the talk:

May 3, 2013: Liz has won a thesis prize for her work.

Some polyhedra : Click on the white pictures to get the STL file which can be 3D printed.
To see the Mathematica code which produced the pictures, see here.
First the Archimedean solids (Happy 2300 year birthday Archimedes!) and then the Catalan solids: