### Hot Wood

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).

Neue Lehrunterlagen

## 6.2.4 Helping Tool## 6.2.4.a Mathematical FractalsAs indicated before, some mathematical fractals can be used as a visual help for planning streets, footpaths and the like under the view-point of irregularity or in line with the question about how much of a certain area can be supplied - the higher the fractal dimension the higher the irregularity and the more of the entire space can be reached. Besides, fractals may also act as a first approach for defining the distribution of buildings or the size and position of properties, the fractal dimension of the resulting site-plan saying something about the irregularity of the project - see picture 79. |

picture 79: Simulations |

## 6.2.4.b CurdlingMandelbrot named the process that produces a fractal dust, which is a disconnected set of points with clustered characteristics, "curdling". Examples for such a fractal dust are the Cantor set, introduced in chapter " |

picture 80: Curdling
theoretical dimension for the possibility of 2/3: theoretical dimension for the possibility of 5/6: theoretical dim. for the possibility of 2/9: D=0.631; |

The fractal dimension of a fractal dust, produced in such a way, can be measured with the aid of the box-counting method, using the formula - introduced in chapter " The "curdling" process, as described in this section, produces a fractal dust that may act as a first sketch of a site plan for one-family houses or row houses, the fractal dimension indicating the density. In this connection the environment, a mountain ridge or the like, can be used as an instruction for the "curdling" process in so far that the probability can be derived from the measured fractal dimension of this surrounding. But repeating the "curdling" process with the same starting options, that is probabilities, results in different shapes, which is also pointed out by different actual fractal dimensions - the theoretical fractal dimension is generated with the remaining boxes of the ideal case of a certain probability. Thus a couple of "site-plans" of the same probability can be generated, where finally the most useful "site-plan" elaborated further by adapting it to the surroundings, such as existing roads, hills or rivers. |