Mobius Strips
Six centres of rotation so that each block moves to the position of its neighbour
.

A torus whose square cross-section is also rotated 90° around its own axis
Knots 31

Rotating gears inside a reflecting sphere.

Animation of the gears.

Some simple pieces of wood …

… which reduce to this.

Standard circular trefoil arrangement.

Square cutaway version.

Circular with a diamond pattern, also showing effects of Hermann Grid.
Labyrinths & Mazes
'Rites-Of-Passage' Paths
Roman Design
Freher's Paradoxical Emblems, #113

"There is no coming to the One with one jump, and none, without going about."

My variation with maze-like dead-ends and a single path to the centre.
Edward Gorey's The Awdrey-Gore Legacy

"The labyrinth at 3:27 after Miss Gentian had successfully found her way in and back."

"The labyrinth at 4:09 when Harold Tyne-Forque gave up trying to reach its heart."
Sierpinski Objects
Squares
Cubes
Inverse Cubes
Pyramids
Borromean Rings
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.
Curious Solids
An object formed from the perpendicular intersection of three coloured cylinders : seen in X, Y, Z, and three angular views.
A rhombic dodechedron (rather than the familiar type made from regular pentagons) : seen in X, Y, Z, and three angular views.