(5,3) Ribbon Torus Knot

thingiverse

A (5,3) ribbon-like torus knot that I designed from my Math 341 Introduction to Topology class in Fall 2014 is now here for all to see. This beautiful knot was actually created by Emily Jaekle and later edited by Dave Pfaff. Print Settings Printer Brand: Formlabs Printer: Form 1 Rafts: Yes Supports: Yes Resolution: 0.2mm Notes: You may need to rescale this object by a factor of 10 in Makerware since it is sized in cm not mm, or simply move the knot onto the platform and you will be all set, as I have found that it is just above it. The knot measures about 9cm x 10cm x 4cm in size. This amazing knot was first printed on a Project 260 3D Systems printer, but later it was also printed on a FormLabs 1+ printer for a more precise finish. How I Designed This I designed this stunning (5,3) ribbon torus knot entirely in Cinema4D. The curve was created using the Formula tool with parametrization x=(2+cos(5t))cos(3t), y=(2+cos(5t))sin(3t), z=-sin(5t) from t=-pi to t=pi, giving me a perfect knot every time. Next, I added in a small rectangle and used the SweepNurbs (without caps) to create a triangulated surface, then rotated that rectangle 1800 degrees for an extra touch of style. The small gap was fixed using the Bridge tool in Edge mode.