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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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 Kepczynska-Walczak, A, Bialkowski, S (eds.), Computing for a better tomorrow - Proceedings of the 36th eCAADe Conference - Volume 2, Lodz University of Technology, Lodz, Poland, 19-21 September 2018, pp. 385-390
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
full text file.pdf (3,261,726 bytes)
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