algorithmic design of a "Würschtlstand"
W.E. Lorenz, G. Wurzer, S. Swoboda. Ziel dieses Entwerfens ist es, Studierenden das algorithmische Denken näherzubringen und die Fähigkeit zu geben nach dem Präzisieren der Problemstellung den sinnvollen Einsatz von Algorithmen im Planungsprozess gedanklich zu erfassen. ...
Programming for Architects V2019
Anhand von Planungsaufgaben wird ein Grundwissen über die Programmierung vermittelt. Um die Einsatzmöglichkeiten eines selbstgeschriebenen Scripts in Architekturwerkzeugen aufzuzeigen, erfolgt im Speziellen das Erlernen der Syntax von Python und dessen Implementierung in Rhinoceros(R).
II Fractals - A Definition
The best way to define a fractal is through its attributes: a fractal is "rugged", which means that it is nowhere smooth, it is "self-similar", which means that parts look like the whole, it is "developed through iterations", which means that a transformation is repeatedly applied and it is "dependent on the starting conditions". Another characteristic is that a fractal is "complex", but nevertheless it can be described by simple algorithms - that also means that beneath most natural rugged objects there is some order.
2.1 What is a Fractal?
"Fractals are objects of any kind whose spatial form is nowhere smooth, hence termed "irregular", and whose irregularity repeats itself geometrically across many scales".
In fact there are so many different types of fractals, some of which will be introduced in chapter "3 Different Fractals", that it is not possible to give one definition for all of them. Besides, when we are talking about fractals in general we should never forget that there are many which have not been found yet. Considering this circumstance, it is more useful to describe some of their characteristics.
There is one important fact about the group of "general" fractals namely the natural development. This means that for the growth of natural but also for artificial objects many additional influences have to be thought of. Thus a tree or a fern can be produced by fractal geometry but these pictures nevertheless offer some differences in respect to their natural brothers. A tree standing alone on a hill for example is influenced by the wind blowing there, which forms the tree in one typical form: branches are only to be found on the side turning away from the direction the wind blows. Other influences may be soil and water conditions, kinds of plants nearby and animals.