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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Mathematics and especially geometry have found increasing application in the computer-based design environment of our day. The computer has become the central tool in the modern design environment, replacing the brush, the paints, the pens and pencils of the artist. However, if the artist does not master the internal working of this new tool thoroughly, he can neither develop nor express his creativity. If the designer merely learns how to use a computer-based tool, he risks producing designs that appear to be created by a computer. From this perspective, many design schools have included computer courses, which teach not only the use of application programs but also programming to modify and create computer-based tools.
In the current academic educational structure, different techniques are used to show the interrelationship of design and programming to students. One of the best examples in this area is an application program that attempts to teach the programming logic to design students in a simple way. One of the earliest examples of such programs is the Topdown Programming Shell developed by Mitchell, Liggett and Tan in 1988 . The Topdown system is an educational CAD tool for architectural applications, where students program in Pascal to create architectural objects. Different examples of such educational programs have appeared since then. A recent fine example of these is the book and program called “Design by Number” by John Maeda . In that book, students are led to learn programming by coding in a simple programming language to create various graphical primitives.
However, visual programming is based largely on geometry and one cannot master the use of computer-based tools without a through understanding of the mathematical principles involved. Therefore, in a model for design education, computer-based application and creativity classes should be supported by "mathematics for design" courses. The definition of such a course and its application in the multimedia design program is the subject of this article.
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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