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
References
id ijac201917103
authors Bejarano, Andres; and Christoph Hoffmann
year 2019
title A generalized framework for designing topological interlocking configurations
source International Journal of Architectural Computing vol. 17 - no. 1, 53-73
summary A topological interlocking configuration is an arrangement of pieces shaped in such a way that the motion of any piece is blocked by its neighbors. A variety of interlocking configurations have been proposed for convex pieces that are arranged in a planar space. Published algorithms for creating a topological interlocking configuration start from a tessellation of the plane (e.g. squares colored as a checkerboard). For each square S of one color, a plane P through each edge E is considered, tilted by a given angle ? against the tessellated plane. This induces a face F supported by P and limited by other such planes nearby. Note that E is interior to the face. By adjacency, the squares of the other color have similarly delimiting faces. This algorithm generates a topological interlocking configuration of tetrahedra or antiprisms. When checked for correctness (i.e. for no overlap), it rests on the tessellation to be of squares. If the tessellation consists of rectangles, then the algorithm fails. If the tessellation is irregular, then the tilting angle is not uniform for each edge and must be determined, in the worst case, by trial and error. In this article, we propose a method for generating topological interlocking configurations in one single iteration over the tessellation or mesh using a height value and a center point type for each tile as parameters. The required angles are a function of the given height and selected center; therefore, angle choices are not required as an initial input. The configurations generated using our method are compared against the configurations generated using the angle-choice approach. The results show that the proposed method maintains the alignment of the pieces and preserves the co-planarity of the equatorial sections of the pieces. Furthermore, the proposed method opens a path of geometric analysis for topological interlocking configurations based on non-planar tessellations.
keywords Topological interlocking, surface tessellation, irregular geometry, parametric design, convex assembly
series journal
email andresbeja87@outlook.com
full text file.pdf ( bytes)
references Content-type: text/plain
Details Citation Select
100%; open Armstrong C., Tam T., Robinson D. et al. (1991) Find in CUMINCAD Automatic generation of well structured meshes using medial axis and surface subdivision , Adv Design Automat; 32: 136–146

100%; open Brocato M. and Mondardini L. (2010) Find in CUMINCAD Geometric methods and computational mechanics for the design of stone domes based on Abeille’s bond , Ceccato C, Pauly M, Wallner J, et al. (eds) Advances in architectural geometry 2010 . New York: Springer, pp. 149–162

100%; open Brocato M. and Mondardini L. (2012) Find in CUMINCAD A new type of stone dome based on Abeille’s bond , Int J Solids Struct; 49(13): 1786–1801

100%; open Brocato M., Deleporte W., Mondardini L. et al. (2014) Find in CUMINCAD A proposal for a new type of prefabricated stone wall , Int J Space Struct; 29(2): 97–112

100%; open De Berg M., Cheong O., van Kreveld M. et al. (2008) Find in CUMINCAD Computational geometry algorithms and applications , London: Springer

100%; open Dyskin A., Estrin Y., Kanel-Belov A. et al. (2001) Find in CUMINCAD A new concept in design of materials and structures: assemblies of inter- locked tetrahedron-shaped elements , Scripta Materialia; 44(12): 2689–2694

100%; open Dyskin A., Estrin Y., Kanel-Belov A. et al. (2001) Find in CUMINCAD Toughening by fragmentation–how topology helps , Adv Eng Mater; 3(11): 885–888

100%; open Dyskin A., Extrin Y., Kanel-Belov A. et al. (2002) Find in CUMINCAD A new class of composite materials based on topological interlocking , Proceedings of the applied mechanics, progress and applications, Sydney, NSW, Australia, 20–22 February 2002, pp. 485–490. World Scientific

100%; open Dyskin A., Extrin Y., Kanel-Belov A. et al. (2003) Find in CUMINCAD Topological interlocking of platonic solids: a way to new materials and structures , Phil Mag Lett; 83(3): 197–203

100%; open Fallacara G. (2006) Find in CUMINCAD Digital stereotomy and topological transformations: reasoning about shape building , Second international congress on construction history , Queen’s College Cambridge, Cambridge, 29 March–2 April 2006

100%; open Glickman M. (1984) Find in CUMINCAD The G-block system of vertically interlocking paving , Proceedings of the 2nd international con- ference on concrete block paving, Delft, April 1984

100%; open Tessmann O. (2012) Find in CUMINCAD Topological interlocking assemblies , Proceedings of the 30th eCAADe conference, Czech Technical University, Prague, 12–14 September 2012

100%; open Wang Z., Song P. and Pauly M. (2018) Find in CUMINCAD DESIA: a general framework for designing interlocking assemblies , SIGGRAPH Asia 2018 technical papers , p. 191

100%; open Weizmann M., Amir O. and Grobman Y.J. (2015) Find in CUMINCAD Topological interlocking in architectural design , Proceedings of the 20th international conference of the association for computer-aided architectural design research in Asia CAADRIA 2015 (Emerging Experience in Past, Present and Future of Digital Architecture), Hong Kong, China, 18–23 May 2015

100%; open Weizmann M., Amir O. and Grobman Y.J. (2016) Find in CUMINCAD Topological interlocking in buildings: a case for the design and construc- tion of floors , Automat Construct; 72(1): 18–25

100%; open Weizmann M., Amir O. and Grobman Y.J. (2017) Find in CUMINCAD Topological interlocking in architecture: a new design method and com- putational tool for designing building floors , Int J Architect Comp; 15(2): 107–118

last changed 2019/08/07 12:04
pick and add to favorite papersHOMELOGIN (you are user _anon_862243 from group guest) CUMINCAD Papers Powered by SciX Open Publishing Services 1.002