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

PDF papers
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)
references Content-type: text/plain
Details Citation Select
100%; open Do Carmo, M. P (1986) Find in CUMINCAD The Helicoid , Fischer, G. (eds), Mathematical Models from the Collections of Universities and Museums, Vieweg, Braunschweig, Germany, pp. 44-45

100%; open Hanaor, A (1992) Find in CUMINCAD Aspects of Design of Double-Layer Tensegrity Domes , International Journal of Space Structures, 7(2), pp. 101-103

100%; open Hanaor, A (1998) Find in CUMINCAD Tensegrity theory and Application, Beyond the cube , J. Francois Gabriel, John Wiley & Sons, Inc., New York, pp 385-408

100%; open Liapi, K, Papantoniou, A and Nousias, Chr (2017) Find in CUMINCAD Morphological exploration of curved tensegrity networks: Towards minimal surface double-layer configurations , IASS, Hamburg, Germany

100%; open Liapi, K, Papantoniou, A and Nousias, Chr (2017) Find in CUMINCAD Square tessellation patterns on curved surfaces , Proceedings of the 35th eCAADe Conference - Volume 2, Rome, pp. 371-378

100%; open Osborne, P (2013) Find in CUMINCAD The Mercator Projections; The Normal and the Mercator Projections on the Sphere and the Ellipsoid with Full Derivations of all Formulae , Zenobo, Edinburgh

100%; open Osserman, R (1986) Find in CUMINCAD Plateau , Dover Books on Mathematics, New York, Dover

last changed 2018/07/24 10:24
pick and add to favorite papersHOMELOGIN (you are user _anon_505588 from group guest) CUMINCAD Papers Powered by SciX Open Publishing Services 1.002