Articles tagged with Polyhedra
Comprehensive exploration of living organisms, biological systems, and life processes across all scales from molecules to ecosystems. Encompasses cutting-edge research in biology, genetics, molecular biology, ecology, biochemistry, microbiology, botany, zoology, evolutionary biology, genomics, and biotechnology. Investigates cellular mechanisms, organism development, genetic inheritance, biodiversity conservation, metabolic processes, protein synthesis, DNA sequencing, CRISPR gene editing, stem cell research, and the fundamental principles governing all forms of life on Earth.
Comprehensive medical research, clinical studies, and healthcare sciences focused on disease prevention, diagnosis, and treatment. Encompasses clinical medicine, public health, pharmacology, epidemiology, medical specialties, disease mechanisms, therapeutic interventions, healthcare innovation, precision medicine, telemedicine, medical devices, drug development, clinical trials, patient care, mental health, nutrition science, health policy, and the application of medical science to improve human health, wellbeing, and quality of life across diverse populations.
Comprehensive investigation of human society, behavior, relationships, and social structures through systematic research and analysis. Encompasses psychology, sociology, anthropology, economics, political science, linguistics, education, demography, communications, and social research methodologies. Examines human cognition, social interactions, cultural phenomena, economic systems, political institutions, language and communication, educational processes, population dynamics, and the complex social, cultural, economic, and political forces shaping human societies, communities, and civilizations throughout history and across the contemporary world.
Fundamental study of the non-living natural world, matter, energy, and physical phenomena governing the universe. Encompasses physics, chemistry, earth sciences, atmospheric sciences, oceanography, materials science, and the investigation of physical laws, chemical reactions, geological processes, climate systems, and planetary dynamics. Explores everything from subatomic particles and quantum mechanics to planetary systems and cosmic phenomena, including energy transformations, molecular interactions, elemental properties, weather patterns, tectonic activity, and the fundamental forces and principles underlying the physical nature of reality.
Practical application of scientific knowledge and engineering principles to solve real-world problems and develop innovative technologies. Encompasses all engineering disciplines, technology development, computer science, artificial intelligence, environmental sciences, agriculture, materials applications, energy systems, and industrial innovation. Bridges theoretical research with tangible solutions for infrastructure, manufacturing, computing, communications, transportation, construction, sustainable development, and emerging technologies that advance human capabilities, improve quality of life, and address societal challenges through scientific innovation and technological progress.
Study of the practice, culture, infrastructure, and social dimensions of science itself. Addresses how science is conducted, organized, communicated, and integrated into society. Encompasses research funding mechanisms, scientific publishing systems, peer review processes, academic ethics, science policy, research institutions, scientific collaboration networks, science education, career development, research programs, scientific methods, science communication, and the sociology of scientific discovery. Examines the human, institutional, and cultural aspects of scientific enterprise, knowledge production, and the translation of research into societal benefit.
Comprehensive study of the universe beyond Earth, encompassing celestial objects, cosmic phenomena, and space exploration. Includes astronomy, astrophysics, planetary science, cosmology, space physics, astrobiology, and space technology. Investigates stars, galaxies, planets, moons, asteroids, comets, black holes, nebulae, exoplanets, dark matter, dark energy, cosmic microwave background, stellar evolution, planetary formation, space weather, solar system dynamics, the search for extraterrestrial life, and humanity's efforts to explore, understand, and unlock the mysteries of the cosmos through observation, theory, and space missions.
Comprehensive examination of tools, techniques, methodologies, and approaches used across scientific disciplines to conduct research, collect data, and analyze results. Encompasses experimental procedures, analytical methods, measurement techniques, instrumentation, imaging technologies, spectroscopic methods, laboratory protocols, observational studies, statistical analysis, computational methods, data visualization, quality control, and methodological innovations. Addresses the practical techniques and theoretical frameworks enabling scientists to investigate phenomena, test hypotheses, gather evidence, ensure reproducibility, and generate reliable knowledge through systematic, rigorous investigation across all areas of scientific inquiry.
Study of abstract structures, patterns, quantities, relationships, and logical reasoning through pure and applied mathematical disciplines. Encompasses algebra, calculus, geometry, topology, number theory, analysis, discrete mathematics, mathematical logic, set theory, probability, statistics, and computational mathematics. Investigates mathematical structures, theorems, proofs, algorithms, functions, equations, and the rigorous logical frameworks underlying quantitative reasoning. Provides the foundational language and tools for all scientific fields, enabling precise description of natural phenomena, modeling of complex systems, and the development of technologies across physics, engineering, computer science, economics, and all quantitative sciences.
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.