id 
ecaade2018_414 
authors 
Liapi, Katherine and Papantoniou, Andreana 
year 
2018 
title 
Square Tessellation Patterns on Double Layer Minimal Surface Structures  Geometric Investigation and Design Algorithms 
source 
KepczynskaWalczak, A, Bialkowski, S (eds.), Computing for a better tomorrow  Proceedings of the 36th eCAADe Conference  Volume 2, Lodz University of Technology, Lodz, Poland, 1921 September 2018, pp. 385390 
summary 
Minimal surfaces, defined as surfaces of the smallest area spanned by a given boundary present advantages for architectural applications in terms of their structural and material performance. Therefore, the investigation of their properties including their geometric ones deserve special attention. In this regard, methods for tessellating minimal surfaces need to be studied. In this paper, patterns that consist of four squares with partly overlapping sides have been considered. A constrain in this study was the square tiles maintained their planarity. Three different types of surfaces have been considered, namely the helicoid, catenoid and Enneper's surface. Design algorithms that generate tiling patterns in all three minimal surface types have been developed and are presented in the paper. The geometric investigation of the application of the developed methods to double layer structures has also been examined and discussed in the paper. Finally, the accuracy of the developed algorithms has been tested through the construction of a physical model. 
keywords 
minimal surfaces; double layer; square tessellation 
series 
eCAADe 
email 
kliapi@upatras.gr 
full text 
file.pdf (3,261,726 bytes) 
references 
Contenttype: text/plain

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last changed 
2018/07/24 10:24 
