Lightweight lattice structures and chiral metamaterials have both received extensive attention during the past decades. This work builds up a systematic design procedure for an emerging class of architected materials, achieving chirality and achirality under the same framework of parameterization. The design of the so-called ‘hyperbolic unit cell’ takes inspiration ultimately from the double-layered morphology of the fore-wing shells of flying beetles, being intended to replicate the hyperbolic geometric feature. The tessellation schemes that populate the microstructure to a component level are stirred up by the similarity with Euclidean tiling of convex regular polygons. Numerical and experimental studies revealed a wide variation of elastic constants for hyperbolic materials maintaining the same volume fraction, making more visible their applications under various loading scenarios, including compression, tension and shear. Also, a significant twisting effect, observed on the chiral cellular material, is shown to be advantageous in the design of buffering plates and energy-absorbing devices.

在过去的几十年中，轻质晶格结构和手性超材料都受到了广泛的关注。这项工作为新兴的建筑材料类建立了系统的设计程序，在相同的参数化框架下实现了手性和非手性。所谓的“双曲线晶胞”的设计最终从飞行甲虫的前翅壳的双层形态学中汲取了灵感，旨在复制双曲线的几何特征。通过与凸正多边形的欧几里得拼贴的相似性，激发了将微观结构填充到组件级的镶嵌方案。数值和实验研究表明，保持相同体积分数的双曲线材料的弹性常数变化很大，使它们在各种负载情况下的应用（包括压缩，拉伸和剪切）更加可见。此外，在已表明手性细胞材料在缓冲板和能量吸收装置的设计中是有利的。