Computational Models in Architecture: Understanding Multi-Dimensionality and Mapping

The aim of this paper is to discuss computational thinking and parametric design and thus "what model is" in the realm of mathematics in architecture. Here we investigate how multi-dimensionality and reference systems should be contemplated, along with what mapping is and how it is related with algorithms in computational design. Set theory and functional relations are re-visited and similarity/similitude concepts and the importance of nondimensional parameters relating different reference systems (interpreted as domain and range relations) are pointed out. In this context, computational design approaches based on modern biomimetic studies in architecture which are beyond metaphors or analogies are considered as the prominent cases of the present inquiry.


Teaching mathematics in architecture
Sorguç, Arzu (Springer Science and Business Media LLC, 2005-04-01)
The Department of Architecture of Middle East Technical University offers a course entitled ‘Mathematics in Architecture’ for the third year students. In the beginning of the term, students are forced to imagine themselves as twodimensional creatures living in a two-dimensional space. At this point, fundamentals of architectural geometry are introduced first in the plane, simply by employing the set concept; mapping as a general tool is then introduced and students are asked to use mapping in their design t...
Geometric invariant theory and Einstein-Weyl geometry
Kalafat, Mustafa (Elsevier BV, 2011-01-01)
In this article, we give a survey of geometric invariant theory for Toric Varieties, and present an application to the Einstein-Weyl geometry. We compute the image of the Minitwistor space of the Honda metrics as a categorical quotient according to the most efficient linearization. The result is the complex weighted projective space CP(1,1,2). We also find and classify all possible quotients. (C) 2011 Published by Elsevier GmbH.
Material Processuality: Alternative Grounds for Design Research
Tönük Kruıthof, Damla (Informa UK Limited, 2020-01-01)
This article opens discussion on the positivist epistemology underlying the understandings of materials in design research that have been brought along as a result of theory and methods inherited from engineering and psychology. Examining the ambitions of work that seeks to operationalize knowledge created by these methods in the design process, we propose that attending to the processuality of material forms is a more adequate way for design research to capture the multiplicity of materials. We develop thi...
Generating functions and their applications
Bilgin, Begül; Doğanaksoy, Ali; Department of Cryptography (2010)
Generating functions are important tools that are used in many areas of mathematics and especially statistics. Besides analyzing the general structure of sequences and their asymptotic behavior; these functions, which can be roughly thought as the transformation of sequences into functions, are also used effciently to solve combinatorial problems. In this thesis, the effects of the transformations of generating functions on their corresponding sequences and the effects of the change in sequences on the gene...
Computational design learning: the smartgeometry case
Acıcan, Öykü; Gürsel Dino, İpek; Department of Architecture (2019)
Computational design has brought in novel concepts to architecture and design disciplines by an integration of interdisciplinary knowledge, tools and methods. Computational design learning has entered the curriculum of architecture, and gained significance over time. Experiential learning environments such as computational design workshops offer strategies for a better understanding of the contemporary needs of computational design learning. Smartgeometry (SG) is a computational design organization that ope...
Citation Formats
A. Sorguç, “Computational Models in Architecture: Understanding Multi-Dimensionality and Mapping,” NEXUS NETWORK JOURNAL, pp. 349–362, 2013, Accessed: 00, 2020. [Online]. Available: