Gaussian Curvature and Surface Paneling

by Tuğrul Yazar | January 24, 2019 22:53

This is my publication in Megaron, Yıldız Technical University Faculty of Architecture Journal. It is titled: “The relationship between Gaussian curvature and surface paneling approaches in architecture”. You can read the abstract of the paper below:

As the design of free-form architectural surfaces becomes easier, questioning and foreseeing the feasibility of the construction of these surfaces becomes important. Such an inquiry requires sufficient knowledge of architectural geometry besides the knowledge of materials and structural systems. In this article, a preliminary example of a guide that supports the design and production process of building surfaces with different geometric properties is presented. This guide aims to reveal the relationship between Gaussian curvature which is an intrinsic geometric feature of architectural surfaces, and some of the widespread paneling strategies. After the literature review and the description and classification of Gaussian curvature and paneling concepts via architectural examples, we created a comparative table.

gaussian curvature of a surface

The resulting table facilitates answering the research question. It shows whether it is possible geometrically to build architectural surfaces with different paneling[1] strategies. We elaborated on this, especially in the early phases of architectural design. Besides, it contains information about the planarity and the equality of the surface panels. Thus, we can present the preliminary information designer about the estimated cost of surface construction and the materials and technologies. Further development of such guides will help architects and students to use geometry more consciously and hence more strongly. On the other hand, we aimed to make contributions to the Turkish literature of the mentioned research field. This emphasizes the Turkish equivalents of the related mathematical terms. Moreover, it draws attention to some of the newly developed topics in this field.

You can read the rest of the paper by clicking here[2]. It is in Turkish, and the external link directs to the journal.

Endnotes:
  1. paneling: https://www.designcoding.net/?s=paneling
  2. here: https://megaronjournal.com/tr/jvi.aspx?pdir=megaron&plng=tur&un=MEGARON-50103

Source URL: https://www.designcoding.net/surface-paneling-and-gaussian-curvature/