壁纸组kirigami
Wallpaper group kirigami
摘要：
近年来，剪纸艺术Kirigami已成为机械超材料的典范。任何kirigami结构的基本构建块都是重复的可部署模式，其灵感来自几何艺术形式和简单的平面平铺。在这里，我们补充这些方法直接链接kirigami模式的对称性与一组17个重复的模式，充分表征了空间的周期性平铺的平面。我们首先展示了如何使用任何壁纸组构建可部署的kirigami模式，然后设计保留冗余的切割模式，通过部署实现任意大小的变化。我们进一步证明，不同的对称性变化可以通过控制瓦片的形状和连接性来实现，并将这些结果连接到底层的kirigami晶格结构。总之，我们的工作提供了一个系统的方法来创建一个广泛的kirigami为基础的可展开的结构与任何规定的大小和对称性。
英文摘要：
Kirigami, the art of paper cutting, has become a paradigm for mechanical metamaterials in recent years. The basic building blocks of any kirigami structures are repetitive deployable patterns that derive inspiration from geometric art forms and simple planar tilings. Here we complement these approaches by directly linking kirigami patterns to the symmetry associated with the set of seventeen repeating patterns that fully characterize the space of periodic tilings of the plane. We start by showing how to construct deployable kirigami patterns using any of the wallpaper groups, and then design symmetry-preserving cut patterns to achieve arbitrary size changes via deployment. We further prove that different symmetry changes can be achieved by controlling the shape and connectivity of the tiles and connect these results to the underlying kirigami-based lattice structures. All together, our work provides a systematic approach for creating a broad range of kirigami-based deployable structures with any prescribed size and symmetry properties.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
