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A predilection for certain symmetries

Materials with 7-fold rotation symmetry have not yet been observed in nature, but researchers have discovered the reason why. The density of flower-shaped nuclei plays a crucial role in determining the rotation symmetry of colloidal particles, explaining why materials with certain symmetries are rare in nature.

SourceMax-Planck-Gesellschaft·JournalProceedings of the National Academy of Sciences·DateMar 30, 2010

Golden ratio discovered in a quantum world

Researchers observed a nanoscale guitar string-like behavior in cobalt niobate, with atomic scale vibrations exhibiting the golden ratio. This discovery reflects a hidden symmetry and special property of the quantum system, with potential implications for future technology.

SourceHelmholtz Association·JournalScience·DateJan 7, 2010

Synthesis with a template

Scientists have successfully synthesized a soccer-ball-shaped molecule made of 60 carbon atoms, dubbed the C80 fullerene. The researchers used pentaphosphaferrocene and copper chloride as building blocks and a carborane template to form the spherical supermolecule.

SourceWiley·DateApr 30, 2009

Dannie Heineman prizes for 2009

The American Institute of Physics (AIP) awards the 2009 Dannie Heineman Prizes to Carlo Becchi, Alain Rouet, Raymond Stora, and Igor Tyutin for their discovery and exploitation of BRST symmetry in gauge theories. Lennox Cowie receives the astrophysics prize for his innovative observations of the distant universe.

Study finds new properties in non-magnetic materials

A Penn State team has shown that non-magnetic materials can have more properties than previously thought, thanks to their unique structure and symmetry. The researchers found that certain non-magnetic materials can exhibit roto second harmonic generation, a property previously associated with magnetic materials.

SourcePenn State·JournalPhysical Review Letters·DateJun 11, 2008

Why face symmetry is sexy across cultures and species

Research finds symmetry and sexual dimorphism in human faces are related to attractiveness, supporting the idea that they signal genetic quality. The study also reveals similar patterns in non-human primates and different human populations, indicating universal signals of quality.

SourcePLOS·JournalPLOS ONE·DateMay 6, 2008

The new shape of music

A team of music professors has devised a new way to analyze and categorize music using geometric principles. This method, known as geometrical music theory, translates musical concepts into mathematical structures, revealing hidden patterns and relationships. By assigning mathematical structure to musical families, researchers can gain...

SourcePrinceton University·JournalScience·DateApr 17, 2008

A crystal that nature may have missed

A mathematical analysis of the diamond's microscopic structure reveals its special properties, including maximal symmetry and strong isotropic property. The K4 crystal, sharing these properties, has sparked curiosity about its potential existence in nature or synthesis.

SourceAmerican Mathematical Society·JournalNotices of the American Mathematical Society·DateJan 3, 2008

Quasicrystals: Somewhere between order and disorder

Quasicrystals, crystal-like materials with atomic structures in between order and disorder, are shown to not conduct electricity like traditional crystals. Mathematician David Damanik offers a key proof for this, revealing that electrons behave uniquely within quasicrystals.

SourceRice University·JournalJournal of the American Mathematical Society·DateMay 23, 2007

Light may arise from relativity violations

Scientists propose that light's origin is tied to tiny violations of Einstein's relativity, which can be tested experimentally. This new view holds promise for alternative understanding of light's behavior in various environments, including empty space and gravitational fields.

SourceIndiana University·JournalPhysical Review D·DateMar 21, 2005

Geologists map Cartwright country

Researchers at Washington University in St. Louis have created a detailed map of the Comstock Lode, a 14-million-year-old gold and silver ore deposit. The map uses mathematical techniques to visualize patterns of oxygen isotope exchange between water and rock, providing insights into the geological processes that formed the ore district.