UNIVERSAL PROPERTY
| Collection | International Encyclopedia of Systems and Cybernetics |
|---|---|
| Year | 2004 |
| Vol. (num.) | 2(2) |
| ID | ◀ 3691 ▶ |
| Object type | Methodology or model |
- “A property that does not change under a renormalized group transformation” (G. MAYER-KRESS, 1988, p.357).
The author states: “… the base idea is to determine how a given system behaves under a transformation which changes the scale and also perform a symmetry operation (Ibid).
He proposes the interesting idea of an inverse reconstruction of the Cantor segment, starting from the “dust” of points obtained in the Cantor set after fractalization. In this way “more and more of the gap are covered with solid intervals… (and finally) we arrive at only one single segment interval” (Ibid).
In this way a complex whole is constructed by the sole use of one specific, well defined iterative transformation. This could be done also, for example, with the WEIERSTRASS function and lead to the idea that complexity may result from the scaling, level by level, of some very simple rule or rules of transformation.
See also
Game of life, Reconstructability analysis, Stigmergy