Articles tagged with Polyhedra
Research by University of California, Riverside physicist Roya Zandi reveals how viruses form highly symmetrical icosahedral structures around their genomes through a process of self-correction, driven by protein elasticity. This study could lead to designing synthetic nanocontainers for medical and biotech uses.
Researchers discovered that tetrahedral Co²⁺ is preferentially incorporated into the lattice in early stages of Co(OH)₂ formation. The retention of tetrahedral Co²⁺ is linked to effective OH⁻ concentration, paving the way for optimized synthesis methods and enhanced material properties.
A Japanese research team successfully constructed the first polymeric Weaire-Phelan structure, a previously theoretical form predicted to be the most efficient solution for a century-old tessellation problem. The structure was achieved through a novel polymerization-induced phase separation method.
A research team has developed a new synthetic approach for controlling functional group assemblies in porous solids by using cage-based framework, metal-organic polyhedra. This method yields identical functional groups on each cage unit and offers improved solvatochromic behavior compared to traditional mixing strategies.
Researchers propose a new approach to estimate degree of similarity between coordination polyhedra and reference polyhedra. The method is tested on over 400 crystalline structures and demonstrates its consistency with structural crystal chemistry theorems.
A universal algorithm for folding origami shapes guarantees a minimum number of seams, producing more practical and sturdy structures. The new method preserves the boundaries of the original piece of paper, allowing users to choose where seams meet.
Researchers at Tokyo Institute of Technology create porous protein crystals with increased porosity, allowing for the accumulation and storage of exogenous molecules in living cells. The engineered crystals showed high stability and ability to retain fluorescent dyes in live cells.
Researchers at Harvard's Wyss Institute created the largest standalone 3-D DNA structures using self-assembling DNA cages. The cages can be modified with chemical hooks to enclose contents, such as drugs or proteins, for potential medical applications.
Researchers at the University of Bristol and Heinrich-Heine-Universität in Düsseldorf have developed a new way of making glass by changing its structure. This method uses computer simulations to encourage atoms in a molten alloy to form polyhedra, leading to a solid with a disordered atomic arrangement - a characteristic of glass.
Material chemists and engineers at Brown University developed algorithms to identify optimal 2-D planar nets for self-folding polyhedra. Experiments confirmed the design principles, allowing for the creation of complex 3-D structures with high yields.
Researchers at New York University's Department of Chemistry have created a molecular polyhedron, a 13 Archimedean solid that can serve as a cage-like framework to trap other molecular species. The structure was formed by designing the assembly of two kinds of hexagonal molecular tiles using 72 hydrogen bonds.
Chemists have created molecular flasks that can house other molecules, allowing for the isolation of certain chemical reactions and potential control over chemical reactivity. The flasks are self-assembling and take the shape of a truncated octahedron, with the potential to create new materials with unique properties.
Ruggero Gabbrielli's new structure is composed of four different shapes that fit together, closer to natural foam structures than previous solutions. His method uses a partial differential equation and has sparked international interest among mathematicians and physicists.
Two Princeton University researchers have solved a major advance in addressing a twist in the packing problem, jamming more tetrahedra into a space than ever before. They achieved a density of 78.2% and devised an approach involving pairs of tetrahedra face-to-face.