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
This is the 24 piece one as a table base.