Structural insights into a rhombic Penrose tiling variant abundant in five-petaled flower motifs.

ABSTRACT: We present a novel variant of a planar quasiperiodic tiling with ten-fold symmetry, utilising thick and thin rhombuses akin to the well-known rhombic Penrose tiling. It is shown that this new tiling shares several key characteristics with its predecessor, including similar vertex environments, polygonal acceptance domains exhibiting five-fold symmetry and a self-similarity tied to the golden mean, which serves as the fundamental scaling ratio. Nonetheless, it presents a fundamentally distinct structure. The new tiling introduces additional complexity through an increased number of prototiles and a dual grid pattern that incorporates both folded and straight lines. Most notably, it is characterized by a high density of two-tiered, five-petaled flower motifs, which occupy a significant porti

SUBMITTER: Fujita N 

PROVIDER: S-EPMC12644897 | biostudies-literature | 2025 Nov

REPOSITORIES: biostudies-literature