Math Monday: Personal rapid prototyping machines

3D Printing & Imaging Science
Math Monday: Personal rapid prototyping machines

By George Hart for the Museum of Mathematics

Math_Monday_banner02_600px.jpg

The rise of personal rapid prototyping machines, such as the Makerbot, RepRap, or Fab@Home, allows one to make a variety of geometric models. Polyhedral models, such as this 5 cm ABS dodecahedron, are fairly straightforward.

dodecahedron-cleaned.jpg

Next is an 8cm model of a hyperboloid of one sheet, showing how it is made of straight lines. (A version made from bamboo skewers was shown in this Math Monday column a year ago.)

hyperboloid.jpg

And here is a tricky assembly puzzle made of twelve identical notched rods. They were dyed four different colors to help clarify the structure.

12-sticks-puzzle.jpg

If you have access to a 3D printer, you can build your own copies of these models from the STL files available here.

More:
See all of George Hart’s Math Monday columns

What will the next generation of Make: look like? We’re inviting you to shape the future by investing in Make:. By becoming an investor, you help decide what’s next. The future of Make: is in your hands. Learn More.

Tagged

Gareth Branwyn is a freelance writer and the former Editorial Director of Maker Media. He is the author or editor of over a dozen books on technology, DIY, and geek culture. He is currently a contributor to Boing Boing, Wink Books, and Wink Fun. His free weekly-ish maker tips newsletter can be found at garstipsandtools.com.

View more articles by Gareth Branwyn
Discuss this article with the rest of the community on our Discord server!

ADVERTISEMENT

Escape to an island of imagination + innovation as Maker Faire Bay Area returns for its 16th iteration!

Prices Increase in....

Days
Hours
Minutes
Seconds
FEEDBACK