Images

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Periodic drawings of M.C.Escher can be mapped on kaleidocycles in a way that edges "fit" whenever they meet, provided that the tiling has the right symmetry property. I used textures based on M.C.Eschers drawings no.56 and no.54, respectively.

Animations

Clip 1 (4.9MB, 53s)¹ "Regular 8-Kaleidocycle"
Clip 2 (7.0MB, 1.06min)¹ "The invertible cube"

Replacing the tetrahedra of a kaleidocycle with other suitable building-blocks leads to new kaleidocycle-like movable formations.

Clip 3 (1.15MB, 13s)¹ "Spider"
Clip 4 (660kB, 6s)¹ "Machine"

The animation of this 7-kaleidocycle is based on a program written by Fred Lunnon. He managed to solve the underlying loop closure equation by means of methods from algebraic geometry.

Clip 5 (2.64MB, 11s)¹ "Sevenring"

¹ The clips are encoded as DivX movies. You can download and install the DivX-codec from http://www.divx.com/divx/