The file 'T(2,3) Torus Knot On A Torus 3D Printer Model' is (stl) file type, size is 1.1MB.
A torus knot or link is a curve which is embedded on a torus (the mathematical name for the surface of a doughnut). These curves can be distinguished by the number of times the curve winds around the long way about the torus and then number of ways the curve winds around the short way. The T(p,q) torus knot/link winds p times around the long way and q times around the short way.
When p and q have no common factors, for example T(2,3), the curve is a knot. When p and q have common factors, the curve is a link. For example, T(2,6) is a 2 component link and each component winds once around the long way and three times around the short way. Many examples can be found on the Knot Plot website: https://knotplot.com/knot-theory/torus_xing.html
The construction of this torus knot and the torus it lies on can be found here: https://mathvis.academic.wlu.edu/2024/08/15/torus-knots-on-tori/
T23_Boole-surface.stl | 1.3MB | |
T23_Boole-union.stl | 1.4MB | |
T23_knot.stl | 615.3KB |