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id caadria2014_003
authors Kobayashi, Yuki; Naoki Katoh, Tomohiro Okano and Atsushi Takizawa
year 2014
title An Inductive Construction of Minimally Rigid Panel-Hinge Graphs and Application to Design Form
source Rethinking Comprehensive Design: Speculative Counterculture, Proceedings of the 19th International Conference on Computer-Aided Architectural Design Research in Asia (CAADRIA 2014) / Kyoto 14-16 May 2014, pp. 493–502
doi https://doi.org/10.52842/conf.caadria.2014.493
summary A panel-hinge framework is a structure composed of rigid panels connected by hinges. It was recently proved that for a so-called generic position, the rigidity of panel-hinge frameworks can be tested by examining the combinatorial property of the underlying graph. In this study, we apply such combinatorial characteristics to create design forms. However, such characterization is only valid for so-called "generic" panel-hinge frameworks. When considering the application of design forms, we need to take into account non-generic cases. In this paper, we develop the method to inductively generate non-generic rigid panel-hinge frameworks consisting of orthogonal panels and to inductively generate rigid panel-hinge frameworks based on fractal geometry coupled with space filling 3-dimensional convex polyhedron as a construction unit. We give examples of forms by the proposed method to demonstrate the applicability to design forms.
keywords Panel-hinge framework; Panel-hinge graph; Combinatorial rigidity; Algorithmic design
series CAADRIA
email
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