Generates a Wavefront .OBJ file for a 3D Lissajous knot. Just run python3 ./knot-engine.py and see what happens, or python3 ./knot-engine.py --help for more options.

I find it nice to view them in MeshLab. Here's the default output:

You can make it look janky by setting a low --curve-density. This one is done with --curve-density 30:

The parametric formulae that specify the curve contain three coefficients, given in -a, -b, and -c. This curve was generated with -a 1 -b 2 -c 3:

Here's the same curve with --wrap-radius 50: