This week we are happy to introduce David Bachman. A Mathematician and self-taught 3D modeler, David has created a unique shop full of designs ranging from jewelry to sculptures. All his designs are made with a fascinating mathematically produced patterns that translate a normally non-visible world into beautiful physical pieces.

Tell us a little bit about yourself: Who are you? Where are you located?
I am a Mathematician at Pitzer College, in Claremont, California. My academic research is on Topology, which is the study of abstract shapes. I teach several classes on 3D printing and design, and am particularly interested in turning the abstract shapes I study into reality.


What’s the story behind your designs? What inspires you?
I see the beauty in Mathematics. 3D printing allows me to turn that beauty into physical forms that others can appreciate as well. I also see the Mathematics in natural forms like seashells, and that reminds me that just because I may use Mathematics to create something, doesn’t mean it has to look like a diagram in a textbook.

What brought you to 3D printing with Shapeways?
At first I was just interested in creating models as teaching aids. Shapeways was mentioned in a few news articles I had seen, so I decided to try it out. After one print I was hooked!


How did you learn how to design in 3D?
I am completely self-taught. When I was much younger I spent considerable time playing with Lightwave for animation, so I was already somewhat familiar with the modeling process. When I wanted to experiment with 3D printing I started by writing equations in Mathematica. Eventually I learned Rhino, and now I mostly design with a mixture of Grasshopper and python code.

How do you promote your work?
I’ve had pieces in a few group shows and have had one solo exhibition of my work. I get some attention through my website, but I think most of the people who have seen my work were on Shapeways.


Who are your favorite designers or artists? Who in the Shapeways community has served as an inspiration to you?
I think in the area of 3D printed Mathematical Art there is no better designer than Bathsheba Grossman. I also love the work of Henry Segerman, who is a friend and professional colleague of mine. He is truly a master when it comes to mathematical illustration with 3D printing.

If you weren’t limited by current technologies, what would you want to make using 3D printing?
I’m really looking forward to the day when I can print in a crystal clear material. I’d also love to experiment with printing a large object with a totally reflective surface. In both cases I believe the focusing effects could produce stunning designs.



  • So many different, fun designs
  • Fun use of different materials meant for different designs
  • Shop sections for easy shopping
  • Great photography of interesting/hard to photograph designs


Thank you, David! Such a beautiful mix of math and art! Check out David’s work on his website, and Facebook page. Keep up the amazing work. To be featured, email aimee @