3 papers
cond-mat.mes-hall2026
Complete Structural Determination of Mesostructural Dodecagonal Quasicrystalline Particles
Xueliang Zhang, Xi Wang, Nobuhisa Fujita +2
Quasicrystals have revolutionized our understanding of order in solids by demonstrating exotic structural and physicochemical properties with diverse potential applications. Despit…
cond-mat.str-el2025
Monte Carlo study on critical exponents of the classical Heisenberg model in ferromagnetic icosahedral quasicrystal
Shinji Watanabe, Tsunetomo Yamada, Hiroyuki Takakura +1
Quasicrystals (QCs) lack three-dimensional periodicity of atomic arrangement but possess long-range structural order, which are distinct from periodic crystals and random systems.…
math-ph2025
A novel variant of rhombic Penrose tiling
Nobuhisa Fujita, Komajiro Niizeki
We present a novel variant of a planar quasiperiodic tiling with tenfold symmetry, employing the same thick and thin rhombuses as the celebrated rhombic Penrose tiling. Despite its…