These are models of trefoil knot tables. The designs are credited to Koos Verhoeff
A 3D design created in vZome. Use your mouse or touch to interact.
In both of these designs, there is an ingenious use of rectangular cross-section sticks with a proportion of 1/√2. Cutting these at a 45° mitre yields square faces that can be joined to successive sticks at 90° or at 120°, thus building chains, When these pieces are sized properly, their centerlines coincide with the lines of paths in an Oct-Tet lattice, such as trefoil knots. The first one has 18 pieces, and the second is 2 tiered, with 24 pieces. This has an especially interesting feature, which is a Mobius twist. On Desktop, one can select successive panels to “walk around” this path.
These have been built as table bases by Jane Kostick