Visual representation of adjacencies
eCAADe SIGraDi 2019 - Architecture in the Age of the 4th Industrial Revolution. (paper & talk)
W Lorenz, G. Wurzer. This paper is based on the assumption that a key challenge of good design is spatial organisation as a result of functional requirements. The authors present a new NetLogo application that assists designers to understand the proposed functional relationships (of spaces) by visualizing them graphically. ...
kleines Entwerfen customized bricks
G. Wurzer, W.E. Lorenz, S. Swoboda. Nach positiver Absolvierung der Lehrveranstaltung sind Studierende in der Lage algorithmisch zu Denken. Durch das Präzisieren der Problemstellung sind die Studierenden in der Lage den sinnvollen Einsatz von Algorithmen im Planungsprozess gedanklich zu erfassen. ...
Stegreifentwerfen Hot Wood follow up
follow up "Würschtlstand"
W.E. Lorenz, G. Wurzer, S. Swoboda. Nach positiver Absolvierung der Lehrveranstaltung sind Studierende in der Lage algorithmisch zu Denken. Konkret erlangen sie die Fähigkeit jene Teile des Entwurfsprozesses zu erkennen, die ausprogrammiert zu schnelleren und allenfalls besseren Lösungen führen. Dabei greifen die Studierenden auf die Ergebnisse des kleinen Entwerfens "Hot Wood" aus dem Sommersemester 2019 zurück. ...
2.2.3 Characteristics - A Fractal is Infinitely Complex
Fractals are highly complex, that means zooming in will bring up more and more details of the object, a characteristic that continues until infinity.
Chaotic fractals: Already in the 20ies of the 20th century the French mathematicians Gaston Julia and Pierre Fatou concerned themselves with the question of fractal geometry. Both examined what would happen to a point “Z” of the complex number-plane if the transformation was repeatedly applied to it . Gaston Julia discovered that calculating the function repeatedly might deliver unforeseen “chaotically” results.
For further information about Julia sets and the Mandelbrot set see chapter “3.2 Chaotic Fractals”.
picture 07: The Mandelbrot set
The Mandelbrot set, the black middle heart-shaped object, is a unit and nowhere interrupted. That means looking at the border areas there seem to be isolated islands, black colored points. But coming closer to this marginal zone, we will find "streets" and "places" through which other fields of the Mandelbrot set are connected. This area is very interesting because zooming deeper into it always means getting new information about the set and finding forms that are similar to each other.
 Gaston Julia like his rival Pierre Fatou analyzed the phenomenon of feedback. They realized the influence of the constant “C” but they did not have the possibility of computers to generate pictures of its behavior. In simple cases points near the zero point converge to a certain point - fixed-point of f(z) -, while outer points approach infinity. In between those two areas there is an infinitely small border that is today called Julia set. Points of the two areas tend to stay away from this infinitesimal border, to outer or inner areas. Jürgens Hartmut, Peitgen Heinz-Otto, Saupe Dietmar: Fraktale - eine neue Sprache für komplexe Strukturen, Spektrum der Wissenschaft (9/1989), p.59