Thus the problem would be stated as follows: the n-dimensional representation of the Mandelbrot complex, attempt to extend a creating model to higher dimensions? Observed globally and in its local characteristics, how can one, using an emblematic representation of fractals, i.e.
#Mandelbulb 3d ifs how to#
Based on the Mandelbrot set and its three-dimensional geometric representation the Mandelbulb, how to produce an architectural code, how to use this code to design a project? Therefore, this essay will seek to explain how fractal parameterization can be understood, defined and used as an architectural code as well as a design tool. We must therefore be careful not to be satisfied with the mirages of the spectacular.3 Architecture is a sensible articulation between solidity (firmitas), utility (commmoditas) and beauty (venustas). In this context, the approach of architectural design using computer software, and particularly algorithms, produces forms. The aim is then to deconstruct the usual building design codes at all levels”.2 These new tools are rooted in a deconstructivist conception, where the explosion of form leads to generative processes characteristic of an algorithmic architecture. Perception and design are then disrupted. “Architecture is no longer drawn, it is programmed, it is no longer shown, it is calculated. This essay is also presented as a collection, the texts in the appendices, and the underlying questions outlined, illustrate both the subject and the following presentation. A lexicon and an appendix at the end of the book will enable the reader who wishes to find these notions or the definitions that he would not have yet. The reader should be aware of the following concepts: algorithmic, parametric, fractal geometry, Euclidean geometry, fractal dimension, fractal scale. To make them easy to find, they are denoted by the chapters they illustrate. To avoid interrupting the continuity of the text, figures and illustrations are grouped together at the beginning of the essay. Two points of presentation should be pointed out. This dissertation is addressed to the reader with the aim of sharing a passion, a moment of escape but above all the possibility of travelling in unknown dimensions at the frontier of the perceptible. The results of quantum physics, complexity theory, systems analysis, artificial intelligence, and fractal geometry converge to give us a much more complex view of the universe and life.įractals are a powerful intellectual development tool that goes beyond physics the theories of order and chaos, the theories on the fractal dimension of the universe are all sources of inspiration and passion. We are only now beginning to understand how animate and inanimate matter is organized in a complex way to form a coherent whole. It is also a kind of universal language between all these fields. The fractal tool has the interest of being accessible to all and intellectually conducive to discovery and fascination in all fields, artistic, mathematical, medical. This is exactly how invention occurs in architecture, giving rise to a new concept.” 1 The true creative process consists in diverting the conventional use of a tool, giving it another meaning, notably by attributing another function to it. This being said, in the absence of a tool it may be impossible to perform a certain action. While the possible opens up other possibilities (to creation), the cause leads to an effect or a set of effects, and only one. “A tool makes it possible (but not necessary) to carry out a task or a set of tasks, a tool makes it possible (but not necessary) to take action. The reader should understand that fractals are not a solution for contemporary architecture but a tool. It should raise awareness of the omnipresence of fractals in our environment as well as in architecture for millennia. The aim of this essay is to show that there are parametric design tools that would make it possible to create and develop architectural thinking that takes into account balance and harmony in the relationships between the scales of perception of a project in the city. Analysis of a model of n-dimensional representations of the Mandelbrot set, exploration of particular fractal forms in architecture.
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