CumInCAD is a Cumulative Index about publications in Computer Aided Architectural Design supported by the sibling associations ACADIA, CAADRIA, eCAADe, SIGraDi, ASCAAD and CAAD futures
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Abelson, Harold, diSessa and Andera (1968) gave the first rules concerning Spirolaterals. To obtain a Spirolateral from a set of straight lines, the first of them must be one unit long and the following must be incremented one unit at each step, at the same time that they turn in a constant direction. Odds (1973) establish the variation of the rotation direction, either to the left or the right. However, he did not give a mathematical relation able to calculate open Spirolaterals. Krawczyk (2001) developed a computer program that generates Spirolaterals following the method suggested by Abelson. These are Spirolaterals obtained by enumeration without a predictive mathematical formula. Krawczyc went farther proposing Spirolaterals based in curved lines. He pointed out that there are a variety of spirolateral forms that have architectural potentiality. Following this, the architectural potentiality of Spirolaterals is the basis of this paper.
To take advantage of that potentiality a computer program was implemented to generate spatial configurations based in Spirolaterals. When a third dimension is given to the Spirolaterals they become Spirospaces. These new entities need spatial and design parameters to be useful for architectural purposes. Barrionuevo and Borsetti (2001) gave results about that work establishing the concept of Spirospaces.
The aim of this paper is to describe a work directed to improve rules and procedures concerning Spirospaces. It is expected that these procedures governed by the proposed rules can be employed as tools during the early steps in the architectural design process.
In this work some aspects concerning Spirospaces are considered. First, Spirolaterals are presented as the predecessors of Spirospaces. Second, Spirospaces are defined, together with their structural parameters. Architectural modeling is studied at the light of two special elements of the Spirospaces: Interstitial spaces and Object spaces. Next, a computer program is presented as the appropriate tool to model configurations having architectural potentiality. Finally, the results obtained running the computer program are analyzed to determine their possible use as architectural forms. Several graphic illustrations are presented showing steps going from the exploration of spatial alternatives to the selection of a specific configuration to be developed.
It is expected that the described computer program could be employed as a design aid tool. As the operation of the program generates a variety of spaces able to dwell architectural objects, it eases the search of configurations suitable to specific functions. The results obtained have the possibility of being exported to computer graphic applications able to add materials, lights and cameras.
New technologies are based on complex algorithms which, by the use of simulators, achieve to produce complexity works that would have been unbelievable twenty year ago. These algorithms have a strong mathematical basis and allow to generate other working methods so as to create wonderful geometrical objects. The study of this New Geometry requires to explore and expand this field of knowledge in the Architecture studies. In order to analyze and use complex design systems to generate non linear experimental models, it is necessary the Mathematical contribution, not only at the University education stage but also at the professional life.
This New Mathematics adequately focused, is able and must be an essential ally to creative design which is born with an exercised imagination in the formation stage; therefore it must aid to establish a space where knowledge and ability for architectural work can be created, synthesized and experimented.
This work tries to encourage students and in relation to Geometry promotes the following aspects: (i) Inspection of new architectural spaces, (ii)Comprehension of the geometrical structure, (iii) Originality and common sense, (iv) Relation between Geometry and design of construction constitutive elements,(v) Insertion of man in the space, (vi) Conditioning of design to human body dimensions, (vii) Fractal geometries.
According to what has been expressed, this proposition acquires a fundamental significance to develop a spatial vision of geometrical shapes in students, in order to stimulate the understanding of the existing relation between abstract geometrical elements and their real applications in Architecture, Geometry and Design and Art. Besides, the purpose of this work has the aim to approach knowledge at the architectural design process and to the study of shapes and mathematical models that such designs sustain , and ultimately demonstrate the importance of an academic organization that involve teachers from different disciplines.
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