Mobius Strips

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

. 1024×768 : 111k

512×384×10 frames : 905k (plays best outside the browser)

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

Solid:	50% transparent:	Alternate bands:	Polygons rendered at 50% size:
1024×768 : 107k	1024×768 : 157k	1024×768 : 146k	1024×768 : 161k
512×384×50 frames : 1765k (plays best outside the browser)	512×384×50 frames : 2308k (plays best outside the browser)	512×384×50 frames : 2799k (plays best outside the browser)	512×384×50 frames : 2948k (plays best outside the browser)

Knots 3₁

Rotating gears inside a reflecting sphere. 768×768 : 97k	Animation of the gears. 512×512×8 frames : 695k (plays best outside the browser)
Some simple pieces of wood … 768×768 : 105k	… which reduce to this. 768×768 : 91k
Rounded with a diamond pattern, also showing effects of Hermann Grid. 768×768 : 186k	Standard trefoil arrangement. 768×768 : 144k

Labyrinths & Mazes

'Rites-Of-Passage' Paths

1024×768 : 160k

1024×768 : 152k

1024×768 : 107k

1024×768 : 110k

Roman Design

1024×768 : 107k

1024×768 : 85k

Freher's Paradoxical Emblems, #113
This one is different in that the path is on top of the walls rather than between them, and it isn't a true labyrinth as there are two directions to each successive inner level.

“There is no coming to the One with one jump, and none, without going about.” 1024×768 : 126k

My variation of the Freher, with maze-like dead-ends and a single path to the centre. It also works whether you go on the walls or between them. 1024×768 : 126k

Edward Gorey's The Awdrey-Gore Legacy

“The labyrinth at 3:27 after Miss Gentian had successfully found her way in and back.” 1024×768 : 62k

“The labyrinth at 4:09 when Harold Tyne-Forque gave up trying to reach its heart.” 1024×768 : 62k

Sierpinski Objects

Squares

243×243 : 1k

243×243 : 1k

243×243 : 1k

243×243 : 2k

243×243 : 4k

243×243 : 15k

Cubes

128×128 : 4k

256×256 : 13k

512×512 : 58k

768×768 : 161k

2048×2048 : 1171k

512×512 : 392k

Inverse Cubes

128×128 : 3k

256×256 : 14k

512×512 : 69k

768×768 : 204k

2048×2048 : 1423k

512×512 : 484k

Pyramids

768×768 : 107k

1024×768 : 102k

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.