Date started: November 2019
Leads: Laura Taalman
We used OpenSCAD sweeper code to produce a model of the knot 8_19 with a star-shaped cross section, then extracted SVG images of planar cross sections from both symmetric and non-symmetric knot orientations in R3. These cross sections are interesting from a mathematical perspective, as they aid in understanding the internal structure of the knot. In addition we can use these cross sections to create stylized motifs to use in surface design patterns. Future directions include exploration of knot complements using laser cut slices.
Next steps are to explore sliced star-crossed knot complements using a laser cutter and transparent acrylic, in the spirit of this simpler trefoil example from our sliced knot complement project: