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.

中文翻译：

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使用测地线上的整流条进行表面离散化

表面的测地线曲线的使用在建筑中具有巨大的潜力，因为它们具有多种属性，并且可以使用数字图形工具轻松进行几何控制。在其众多属性中，表面的测地曲线是直线条可沿其与表面相切地放置的路径。在此基础上，提出了一种使用直条对曲面进行离散化的图形方法，由于矩形直条在切割过程中利用了 100% 的材料，因此可以优化材料消耗。考虑到材料不可扩展，本文的贡献包括从“整流表面”的概念提出表征这种类型镶板的几何约束。