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Surface Discretisation with Rectifying Strips on Geodesics

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Abstract

The use of geodesic curves of surfaces has enormous potential in architecture due to their multiple properties and easy geometric control using digital graphic tools. Among their numerous properties, the geodesic curves of a surface are the paths along which straight strips can be placed tangentially to the surface. On this basis, a graphical method is proposed to discretize surfaces using straight strips, which optimizes material consumption since rectangular straight strips take advantage of 100% of the material in the cutting process. The contribution of the article consists of presenting the geometric constraints that characterize this type of panelling from the idea of “rectifying surface”, considering the material inextensible. Experimental prototypes that have been part of the research are also described and the final theoretical results are presented.

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Acknowledgements

This research has been partially funded by internationalization grants to the Instituto Universitario de Arquitectura y Ciencias de la Construcción (IUACC) of the VI Own Research and Transfer Plan of the University of Seville, the Department of Architecture of the University of the Basque Country and the Housing Department of the Basque Government. All images are by the authors.

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Authors and Affiliations

  1. Department of Graphic Engineering, Universidad de Sevilla, Av/Reina Mercedes 4-A, 41012, Seville, Spain

    Andrés Martín-Pastor

  2. Department of Architecture, University of the Basque Country, Oñate Plaza, 2, 20018, Donostia-San Sebastian, Spain

    Francisco González-Quintial

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  1. Andrés Martín-Pastor
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  2. Francisco González-Quintial
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Correspondence to Andrés Martín-Pastor.

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Martín-Pastor, A., González-Quintial, F. Surface Discretisation with Rectifying Strips on Geodesics. Nexus Netw J 23, 565–582 (2021). https://doi.org/10.1007/s00004-020-00540-x

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