Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...

Complex systems in nature, like their synthetic counterparts in technology, comprise a large number of small components that assemble of their own accord through molecular interactions. Gaining a ...

Physicists show that the shape of components is a major determinant of how quickly and efficiently complex structures self-assemble. Physicists at LMU Munich show that the shape of components is a ...