News tagged with rotational symmetry

The maths behind 'impossible' never-repeating patterns

Remember the graph paper you used at school, the kind that's covered with tiny squares? It's the perfect illustration of what mathematicians call a "periodic tiling of space", with shapes covering an entire area with no overlap ...

Aug 15, 2016 in Mathematics
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Patterns are math we love to look at

Why do humans love to look at patterns? I can only guess, but I've written a whole book about new mathematical ways to make them. In Creating Symmetry, The Artful Mathematics of Wallpaper Patterns, I include a comprehensive ...

Sep 22, 2015 in Mathematics
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Lord of the microrings: Team reports breakthrough in microring laser cavities

A significant breakthrough in laser technology has been reported by the U.S. Department of Energy (DOE)'s Lawrence Berkeley National Laboratory (Berkeley Lab) and the University of California (UC) Berkeley. Scientists led ...

Oct 30, 2014 in Optics & Photonics
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Working group seeks new algorithms for an old problem

Symmetry appears readily in nature: on the petals of a sunflower or the spires of a snowflake. But not all symmetries are alike. Flip a square horizontally, vertically, or diagonally – these are reflectional symmetries ...

May 17, 2016 in Mathematics
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Researchers discover why atoms in solids show a preference for certain structures

(PhysOrg.com) -- Nature likes some symmetries, but dislikes others. Ordered solids often display a so-called 6-fold rotation symmetry. To achieve this kind of symmetry, the atoms in a plane surround themselves with six neighbours ...

Mar 30, 2010 in General Physics
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Breaking local symmetry—why water freezes but silica forms a glass

Everyone knows that water freezes at 0 degrees C. Life on Earth would be vastly different if this were not so. However, water's cousin, silica, exhibits wayward behavior when cooled that has long puzzled scientists.

Feb 14, 2018 in Condensed Matter
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Molten metal solidifies into a new kind of glass

(Phys.org) —When a molten material cools quickly, parts of it may have enough time to grow into orderly crystals. But if the cooling rate is too fast for the entire melt to crystallize, the remaining material ends up in ...

Jul 30, 2013 in Condensed Matter
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Unusual electronic state found in new class of unconventional superconductors

A team of scientists from the U.S. Department of Energy's (DOE) Brookhaven National Laboratory, Columbia Engineering, Columbia Physics and Kyoto University has discovered an unusual form of electronic order in a new family ...

Dec 08, 2014 in Superconductivity
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Research shows potential for quasicrystals

(Phys.org) —Ever since their discovery in 1984, the burgeoning area of research looking at quasiperiodic structures has revealed astonishing opportunities in a number of areas of fundamental and applied research, including ...

Mar 20, 2013 in Optics & Photonics
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A necklace of fractional vortices

Researchers at Chalmers University of Technology have arrived at how what is known as time-reversal symmetry can break in one class of superconducting material. The results have been published in the highly ranked Nature ...

Oct 02, 2015 in Superconductivity
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