Abstract
The paper intends to highlight the links between two-dimensional geometric matrices and three-dimensional structures in Andalusian architectures of Islamic origin. The deep ambivalence between plane and spatial geometries maintains a very strong evidence, for example, in the flat projections of the articulated vaulted surfaces ribs or the muquarnas cellular structures. The creative process underlying the geometric grid systems of these shapes is based on analogous proportioning systems and geometries, underlying the plane patterns. This article then analyzes in particular the geometrical principles, the transformations and the design aspects that were used to create the modules of the flat decorations and how they can be understood as structural schemes for the architectural buildings. To this end, some emblematic buildings of Islamic architectural production in Andalusia were examined, focusing on the most significant dome structures. In these it was possible to highlight how the purely ornamental aspect linked to the geometric design, constantly interacts with the architectural form.
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Acknowledgements
This work includes the individual contribution of each author. Specifically, Barbara Messina is author of the section titled The geometry, between theory and practice and Andalusian vaults with interwoven arches, while Stefano Chiarenza is author of the section titled The geometric drawing as a matrix of decorative patterns.
We thank Dalila Fortunato (student in Building Engineering—Architecture, University of Salerno) who contributed in editing the 3d models of Bib Mardum Mosque.
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Messina, B., Chiarenza, S. (2019). Geometric Links Between 2d Patterns and 3d Structures in Islamic Architectures of Andalusia. In: Cocchiarella, L. (eds) ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics. ICGG 2018. Advances in Intelligent Systems and Computing, vol 809. Springer, Cham. https://doi.org/10.1007/978-3-319-95588-9_75
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