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id ecaade2023_388
authors Wedl, Marilies and Bauer, Peter
year 2023
title Reconsidering the Construction of Complex Architectural Shapes: On the practical significance of Orthogonal Circle Packings in the creation of Architectural Freeform Structures
doi https://doi.org/10.52842/conf.ecaade.2023.1.357
source Dokonal, W, Hirschberg, U and Wurzer, G (eds.), Digital Design Reconsidered - Proceedings of the 41st Conference on Education and Research in Computer Aided Architectural Design in Europe (eCAADe 2023) - Volume 1, Graz, 20-22 September 2023, pp. 357–366
summary Key issues to provide economically viable solutions in the creation of doubly curved architectural structures lie in reducing the complexity of supporting and connecting elements, the repetition of costly parts, and the proper rationalization of the building skin. This can, next to post-rationalization techniques, be achieved by applying constrained design approaches where analytical findings are understood in advance and considered throughout the whole planning process. Therefore, we address the design and construction of architectural freeform structures which are derived from orthogonal circle packings. Applying conformal transformations on such configurations turn out to provide a promising base regarding further specifications in simplified fabrication, materialization, and assembly of doubly curved structures. This approach, so far intensely examined by the fields of discrete differential geometry, is here investigated by a research team from the field of architectural sciences. We introduce a computational setup, starting with an orthogonal circle packing in the Complex plane. By combining particular conformal mappings, we obtain a rich variety of conformally discretized surfaces of distinct type. While performing the abovementioned transformations, valuable geometric conditions allowing the usage of simplified and repetitive building components are preserved. The setup provides an intuitive, easily accessible digital workflow from global surface construction and preliminary geometric model representation, yielding a guiding framework purposing the construction of individual building components. We introduce several shape explorations from this setup, give insights to materialization and construction techniques and synchronously discuss their particularities considering both geometric, architectural as well as structural qualities.
keywords Architectural Geometry, Construction Aware Design, Constrained Design Methods, Circle Packings, Offset Meshes, Conformal Transformations
series eCAADe
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