The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new ...

Researchers at the University of Osaka have developed new mathematical models that offer new insights into the behavior of ...

Nanomaterials design for super-degenerate electronic state beyond the limit of geometrical symmetry. Nature Communications , 2018; 9 (1) DOI: 10.1038/s41467-018-06244-8 Cite This Page : ...

Crystals are known far and wide for their beauty and elegance. But even though they may appear perfect on the outside, their ...

THE symmetry properties hitherto used in physics mainly relate to existing geometrical symmetry or formal mathematical equivalence. Less attention has been paid to the one-way tendency towards ...

Unfortunately, given the limitations of geometrical symmetry, no substance is known to have a higher degree of degeneracy than spherical atoms (Fig. 1).

Symmetry, a resource that children spontaneously use to draw the plant world ... a subject that a priori has no apparent link with geometry and symmetry. With the help of a puppet, ...