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Algorithmic Modelling as a Key Tool for Ribbed Vault Geometry

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Abstract

The paper proposes the first results of an ongoing research on the geometry of ribbed cross vaults starting from the principles and theories illustrated in some historical treatises. In the research, a particular role is assumed by algorithmic modelling which is an effective tool for the construction and verification of the geometry of the intrados surfaces of vaults. Starting from the studies conducted in this regard by the two Italian engineers. The construction of the digital models deriving from treatises by Curioni and Lamberti has allowed us to compare them with the geometry of the vaults of a side chapel of the church of Santa Lucia in Cagliari. Through the 3D laser scanner survey of these vaults, it was possible to evaluate which of the models proposed in the two treatises best approximated the case study of Santa Lucia in order to conduct algorithmic modelling of the surface closest to the geometry of the vaults revealed by the point cloud.

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References

  • Agirbas, A. 2020. Algorithmic Decomposition of Geometric Islamic Patterns: A Case Study with Star Polygon Design in the Tombstones of Ahlat. Nexus Network Journal, 22(1), 113-137. https://doi.org/10.1007/s00004-018-0416-6

  • Aubert, M. 1934. Les plus anciennes croisées d’ogives, leur rôle dans la construction. Bulletin monumental, 93(1), 5-67. https://doi.org/10.3406/bulmo.1934.10099

  • Biancardo, S. A., Capano, A., de Oliveira, S. G., and Tibaut, A. 2020. Integration of BIM and Procedural Modeling Tools for Road Design. Infrastructures 5(4): 37. Retrieved from https://www.mdpi.com/2412-3811/5/4/37

  • Bianconi, F., Filippucci, M., and Meconi, F. M. 2018. Parametrical Vitruvius. Generative modeling of the architectural orders. SCIRES-IT 8(2): 29–48. doi: http://dx.doi.org/https://doi.org/10.2423/i22394303v8n2p29

  • Breymann, G. A. 1885. Trattato Generale di Costruzioni civili con cenni speciali intorno alle costruzioni grandiose. Vol I, Costruzioni in pietra artificiale. Milano: Francesco Vallardi Editore.

  • Brumana, R., Banfi, F., Cantini, L., Previtali, M., and Della Torre, S. 2019. HBIM level of detail-geometry-accuracy and survey analysis for architectural preservation. Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLII-2/W11: 293-299. doi:https://doi.org/10.5194/isprs-archives-XLII-2-W11-293-2019

  • Caetano, I., Santos, L., and Leitão, A. 2020. Computational design in architecture: Defining parametric, generative, and algorithmic design. Frontiers of Architectural Research 9(2): 287-300. https://doi.org/10.1016/j.foar.2019.12.008

  • Capone, M., and Lanzara, E. 2019. Scan-to-BIM vs 3D ideal model HBIM: parametric tools to study domes geometry. Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLII-2/W9: 219-226. https://doi.org/10.5194/isprs-archives-XLII-2-W9-219-2019

  • Como, M., Iori, I., Ottoni, F., and Zellini, P. 2019. Scientia Abscondita. Venezia: Marsilio.

  • Curioni, G. 1868) L’arte di fabbricare. Geometria pratica applicata all’arte del costruttore (Vol. 3): Augusto Federico Negro.

  • Docci, M., and Migliari, R. 1992. Scienza della rappresentazione. Roma: La Nuova Italia Scentifica. Retrieved from https://www.academia.edu/download/34083050/SDR.pdf

  • Dore, C., Murphy, M., McCarthy, S., Brechin, F., Casidy, C., and Dirix, E. 2015. Structural Simulations and Conservation Analysis -Historic Building Information Model (HBIM). Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XL-5/W4: 351-357. https://doi.org/10.5194/isprsarchives-XL-5-W4-351-2015

  • Lamberti, V. 1773. Voltimetria retta ovvero misura delle volte di Vincenzo Lamberti ingegnere napolitano dedicata a SE il marchese signor d. Angelo Cavalcanti. Presso Donato Campo.

  • McCormack, J., Dorin, A., and Innocent, T. 2004. Generative Design: A Paradigm for Design Research. Retrieved from https://dl.designresearchsociety.org/cgi/viewcontent.cgi?article=2327&context=drs-conference-papers

  • Mitchell, W. J. 1975. The theoretical foundation of computer-aided architectural design. Computer-Aided Design 8(4): 285. https://doi.org/10.1016/0010-4485(76)90172-x

  • Moretti, L. (1971). Ricerca matematica in architettura e urbanistica. Moebius IV(1): 30–53 .

  • Oxman, R. 2017. Parametric design thinking. Design Studies, 52, 1-3. https://doi.org/10.1016/j.destud.2017.07.001

  • Paranjape, I., Jawad, A., Xu, Y., Song, A., and Whitehead, J. 2020. A Modular Architecture for Procedural Generation of Towns, Intersections and Scenarios for Testing Autonomous Vehicles. Paper presented at the 2020 IEEE Intelligent Vehicles Symposium (IV). http://dx.doi.org/https://doi.org/10.1109/iv47402.2020.9304625

  • Pepe, M., Costantino, D., and Restuccia Garofalo, A. 2020. An Efficient Pipeline to Obtain 3D Model for HBIM and Structural Analysis Purposes from 3D Point Clouds. Applied Sciences, 10(4): 1235. Retrieved from https://www.mdpi.com/2076-3417/10/4/1235

  • Piccoli, C. 2016. Enhancing GIS urban data with the 3rd Dimension: a procedural modelling approach. CAA2015, 815. Retrieved from https://www.academia.edu/download/44390630/CAA2015_ch10_piccoli.pdf

  • Russo, M., and Manti, A. 2011. Il reverse modeling come strumento di analisi e conoscenza all’architettura storica. Paper presented at the Conference: Abbazia di Vallombrosa-laboratorio di rilievo integrato.

  • Tedeschi, A. 2014. AAD, Algorithms-aided design: parametric strategies using Grasshopper: Le penseur publisher.

  • Valenti, G. M., and El Khoury, C. 2021. Let’s Join: A Pavilion Inspired by the Weaire and Phelan Space Tessellation. Nexus Network Journal 23(1): 107-120. https://doi.org/10.1007/s00004-020-00544-7

  • Woodbury, R. (2010). Elements of parametric design. Routledge.

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Acknowledgements

The 3D laser scanning of the vault was carried out at LabMAST (Laboratory for historical and traditional materials and architectures), University of Cagliari, Department of Civil-Environmental Engineering and Architecture (DICAAR). LIDAR point cloud product by Andrea Dessì and Sergio Demontis.

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Authors and Affiliations

  1. Department of Environmental Civil Engineering and Architecture (DICAAR), University of Cagliari, Cagliari, Italy

    Vincenzo Bagnolo

  2. University of Cagliari, Cagliari, Italy

    Raffaele Argiolas & Cristina Vanini

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  1. Vincenzo Bagnolo
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  2. Raffaele Argiolas
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  3. Cristina Vanini
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Correspondence to Vincenzo Bagnolo.

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Bagnolo, V., Argiolas, R. & Vanini, C. Algorithmic Modelling as a Key Tool for Ribbed Vault Geometry. Nexus Netw J 24, 147–166 (2022). https://doi.org/10.1007/s00004-021-00570-z

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