Abstract Since Leonardo Da Vinci designed the first deployable structure with scissors some centuries ago, many authors have tried to improve its designs using new geometries. However, these strategies to make deployable structures have limits because they can only be applied in some geometries and the level of the resolution obtained is limited. In this paper a new geometric method to design bistable and non – bistable deployable structures with straight scissors is going to be developed. Using this method, the only limit in the design of deployable structures with straight scissors is the designer's imagination, for example, with this method the designer will be able to design as deployable the Sydney Opera House or a common building with pillars, etc. Consequently, this method is not based on load or forces that can be applied in the structure. An application example is the figure attached in this Abstract where the reader can see the Manantiales Restaurant in Xochimilco designed with straight scissors and without any geometric incompatibility.

中文翻译：

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基于收敛面的直剪刀双稳态和非双稳态展开结构设计的几何方法

摘要 自从达芬奇在几个世纪前用剪刀设计了第一个可展开结构，许多作者试图使用新的几何形状来改进其设计。然而，这些制作可展开结构的策略有局限性，因为它们只能应用于某些几何形状，并且所获得的分辨率水平是有限的。在本文中，将开发一种用直剪刀设计双稳态和非双稳态可展开结构的新几何方法。使用这种方法，用直剪刀设计可展开结构的唯一限制是设计师的想象力，例如，通过这种方法，设计师可以将悉尼歌剧院或带有柱子的普通建筑等设计为可展开结构。因此。 , 这种方法不是基于可以施加在结构中的载荷或力。一个应用示例是本摘要中所附的图，读者可以看到霍奇米尔科的 Manantiales 餐厅采用直剪刀设计，没有任何几何不兼容性。