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built recursive - svg vector data - try to zoom in

with mouse click you get the next level

on a server with more computer power you get the recursive pictures faster, try it here.

Hilbert curves



Moebius band made with stones



Moebius band built with three js.
Click and track to control the orientation (TrackballControll)
A family of 3 - D objects :

The first picture is a ring, the second a Moebius band, the third a twisted ring (one time) and the fourth a twisted ring (1 1/2 times).

Archimedische Spiral Blaetter

Schöne Strickmuster Bilder hergestellt mit einem cellular Algorithmus,respektive mit dem Programm xlife

Computer-Pflanzen, Oliver Deussen and Bernd Lintermann, Spektrum der Wissenschaft, Februar 2/2001.

In the numerical experiment on the Home Page an L-System is used to describe a tree. The bracket symbols "[" ,"]" , "(" and ")" indicate branches. On the status line the angles between branches are printed, where the first angle is for the left side "[,]" and the second one for the right side "(,)". References to these systems are:

  1. C.G. Langton, Algorithm, 1.1 Nov.1989

  2. C.G. Langton, Ed. Artificial Life, Vol VI, Santa Fe, Inst. Studies in the Sciences of Complexity, Redwood City, CA, Addison Welsy 1989

  3. Hanan, J.; Prusinkiewicz, P., L-Systems, Fractals and Plants. NewYork (Springer) 1989


About computing see ZIB - Konrad -Zuse-Zentrum für Informationstechnik Berlin. Or the swiss supercomputing centre CSCS in Manno / TI near Lugano.