(3,2) Ribbon Torus Knot
by dennedesigns, published
Use This Project
Give a Shout Out
If you print this Thing and display it in public proudly give attribution by printing and displaying this tag.Print Thing Tag
This is a (3,2) ribbon torus knot designed by Cathy Wang and edited by Dave Pfaff and myself for my Math 341 Introduction to Topology class in Fall 2014.
You may need to rescale this object by a factor of 10 in Makerware since it is sized in cm not mm. You may also need to move the knot onto the platform, I think it is just above it. The knot is about 10cm x 11cm x 5cm in size. This knot was first printed on a Projet-260 3D Systems printer.
How I Designed This
The entire model was designed in Cinema4D. The knot was created using the Formula tool with parametrization x=(2+cos(2t))cos(3t), y=(2+cos(2t))sin(3t), z=-sin(2t) from t=-pi to t=pi. The trianglulated surface was created by first adding in a small rectangle, then using the SweepNurbs (without caps). The width and height of the rectangle was adjusted so the band is not a constant size through the knot. The overlapping edges and small gaps were also fixed. Finally, the knot was colored with a beautiful rainbow-gradient. (The color doesn't show in the .stl file.)
Upgrade this Thing with Thingiverse AppsCustomization
Edit, personalize, or revise this ThingPrint Fulfilment
Order a print of this ThingTools and Utilities
Repair, slice, or enhance this Thing
(3,2) Ribbon Torus Knot by dennedesigns is licensed under the Creative Commons - Attribution license.
What does this mean?
- You must attribute (give credit) to the creator of this Thing.
- Remixing or Changing this Thing is allowed.
- Commercial use is allowed.
Show Some Love
Say thanks by giving dennedesigns a tip and help them continue to share amazing Things with the Thingiverse community.Tip Designer
We're sure dennedesigns would love to see what you've printed. Please document your print and share a Make with the community.
To post a Make simply visit this Thing again and click I Made One to start uploading your photo. It’s even easier to post a Make via the Thingiverse Mobile app (available via Google Play and Apple App Store).