ANIM = gif (▶∞) & mp4 (▶1)
A separate page of simple tubular knots is here.
A badly edited version of the image marked † appeared in What Are You Looking At?, Carlton, 2005, and Fantastic Optical Illusions, Carlton, 2006. This pattern shows effects of the Hermann Grid.
The † image above has also been used without my permission for the design of an LED lamp, as shown in the videos.
New animations to follow when once rendered. Only up to level 5 for the cubes though as the models end up with over 80 million polygons, consuming >24Gb of RAM, and taking over 20 minutes to render a single frame.
Creating an inner polyhedron from the source polygon's mid-points leads to an infinite alternating zoom.
Creating an outer polyhedron from the source polygon's mid-points, via a composite solid.
An object formed from the perpendicular intersection of three coloured cylinders : seen in X, Y, Z, three angular views, and two animations.
A rhombic dodechedron (rather than the familiar type made from regular pentagons) : seen in X, Y, Z, three angular views, and two animations.
Any single ring can pass through the loop of any other, as a pair, but all three remain as a knot : seen in X, Y, Z, and one angular view.
The rectangular version interlocks in such a way as to resemble a Chinese wooden puzzle, though in this case there is no solution.