2025/06/11 by Chaviva Sirote-Katz, Ofri Palti, Naomi Spiro +2 · 1 voice
Engineering · #Advanced Antenna and Metasurface Technologies #Advanced Materials and Mechanics #Structural Analysis and Optimization
paper · doi:10.1103/wtgy-8fx1
openalex publication_date 2025/06/11 · openalex created_date 2025/06/12 · openalex updated_date 2026/07/26
Combinatorial mechanical metamaterials are made of anisotropic, flexible blocks, such that multiple metamaterials may be constructed using a single block type, and the system's response strongly depends on the mutual orientations of the blocks within the lattice. We study a family of possible block types for the square, honeycomb, and cubic lattices. Blocks that are centrally symmetric induce holographic order, such that mechanical compatibility (meaning that blocks do not impede each other's motion) implies bulk-boundary coupling. With them, one can design a compatible metamaterial that will deform in any desired texture only on part of its boundary. With blocks that break holographic order, we demonstrate how to design the deformation texture on the entire boundary. Correspondingly, the number of compatible holographic metamaterials scales exponentially with the boundary, while in nonholographic cases we show that it scales exponentially with the bulk.