The Relationship Between Gaussian Curvature and Surface Panelization Approaches in Architecture

Volume: 19 Issue: 1
Year: 2024

Current Issue Published Issues Most Accessed Articles Ahead of Print

Index and Coverage

Avery Index

DOAJ

EBSCO

Erih Plus

ESCI � Clarivate

GALE Cengage

Genamics

ProQuest

TR Dizin

TUBITAK Ulakbim

Ulrichs Web

The Relationship Between Gaussian Curvature and Surface Panelization Approaches in Architecture [Megaron]

Megaron. 2019; 14(1): 18-30 | DOI: 10.5505/megaron.2018.50103

The Relationship Between Gaussian Curvature and Surface Panelization Approaches in Architecture

Tu�rul Yazar
Department of Architecture, �stanbul Bilgi University Faculty of Architecture, �stanbul, Turkey

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 which 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 curvature and paneling concepts via architectural examples, a comparative table has been created. The resulting table facilitates answering the question of whether it is possible geometrically to build architectural surfaces with different paneling strategies, especially at early phases of architectural design. Besides, it contains information about the planarity and the equality of the surface panels. Thus, the preliminary information is presented to the designer about the estimated cost of surface construction and the materials and technologies to be selected. Further development of such guides will help architects and students to use geometry more consciously hence more strongly. On the other hand, it is aimed to make contributions to the Turkish literature of the mentioned research field, to emphasize the Turkish equivalents of the related mathematical terms, and to draw attention to some of the newly developed topics on this field.

Keywords: Discretization, curvature; architectural geometry; paneling; surface.

Mimarl�kta Y�zey Panelleme Yakla��mlar�n�n Gauss E�rili�i �le �li�kisi

Tu�rul Yazar
�stanbul Bilgi �niversitesi Mimarl�k Fak�ltesi, Mimarl�k B�l�m�, �stanbul

Serbest bi�imli mimar� y�zeylerin ekran �zerindeki tasar�m�na yard�mc� olan dijital ara�lar, bu y�zeylerin uygulanabilirli�i konusundaki sorgulamay� genellikle konunun uzmanlar�na b�rak�r. B�yle bir sorgulama mimar� malzeme ve ta��y�c� sistem bilgisinin yan�nda yeterli d�zeyde mimar� geometri bilgisi de gerektirmektedir. Bu makalede farkl� geometrik �zelliklere sahip y�zeylerin tasar�m ve �retim s�recini destekleyen bir k�lavuzun ilk �rne�i sunulmu�tur. Bu k�lavuz mimar� y�zeylerin i�kin �zelliklerinden birisi olan Gauss e�rili�i ile geometrik panelleme yakla��mlar�n�n baz�lar� aras�ndaki ili�kiyi ortaya koymay� ama�lamaktad�r. Konu ile ilgili kaynak �zetinin ard�ndan e�rilik ve panelleme kavramlar� mimar� �rnekler verilerek s�n�fland�r�lm��t�r. Mimar� panelleme ile ilgili kar��la�t�rma kriterlerinin ve y�ntemin sunulmas�n�n ard�ndan elde edilen sonu�lar tablolar h�linde sunulmu�tur. Bu tablolar �zellikle erken tasar�m a�amalar�nda olu�turulan mimar� y�zeylerin farkl� panelleme yakla��mlar� ile in�a edilmesinin geometrik olarak m�mk�n olup olmad�� sorusuna cevap vermektedir. Bunun yan�nda, y�zeylerin in�aat� i�in �retilmesi gereken panellerin d�zlem ve e�it olma olana��yla ilgili enformasyon sunmaktad�r. B�ylelikle mimarlar�n tasarlad�klar� y�zeyin �retim maliyeti ve performans� ile ilgili �n bilgiye sahip olmas� hedeflenmektedir. Hen�z ba�lang�� a�amas�nda olan bu t�r k�lavuzlar�n geli�tirilmesinin mimarlar�n ve mimarl�k ��rencilerinin geometriyi daha bilin�li �ekilde kullanmalar�na yard�mc� olaca�� ng�r�lmektedir. Di�er yandan, bu makaleye ilham veren ara�t�rma alan�nda uluslararas� kaynaklara nispetle zay�f bir konumda olan T�rk�e yaz�na katk� yap�lmas�, ilgili matematik terimlerinin T�rk�e kar��l�klar�n�n vurgulanmas� ve bu alanda yeni geli�en g�ncel konu ba�l�klar�ndan baz�lar�na dikkat �ekilmesi hedeflenmektedir.

Anahtar Kelimeler: Ayr��t�rma, e�rilik; mimar� geometri; panelleme; y�zey.

Tu�rul Yazar. The Relationship Between Gaussian Curvature and Surface Panelization Approaches in Architecture. Megaron. 2019; 14(1): 18-30

Corresponding Author: Tu�rul Yazar, T�rkiye

TOOLS

Full Text PDF

Download citation

RIS

EndNote

BibTex

Medlars

Procite

Reference Manager

Share with email

Send email to author

Similar articles

PubMed

Google Scholar