There is a certain old-fashioned elegance in the way Professor Nicolai Reshetikhin teaches. In an age dominated by digital presentations and slide decks, this world-renowned mathematical physicist ...

Translation is a complex matrix in India, a country that speaks at least 121 languages. One saying in Hindi loosely translates to “every two miles, the taste of water changes, and every eight ...

Emmy Noether was a mathematician who discovered perhaps the most profound idea in contemporary physics. Noether’s theorem, which she formulated in 1915, says that symmetries in the universe give ...

Emmy Noether is responsible for an idea so important that it ranks alongside Charles Darwin’s concept of evolution by natural selection as a central and unifying principle in science. It made possible ...

Radially, NiS nanorods exhibit rotational symmetry but lack translational symmetry. In contrast, when observed from the side, the NiS nanorods show regular translational periodicity.

Cite: Iñiguez, Agustina. "Symmetry in Architecture: 15 Contemporary Collective Housing Units in Latin America" [Simetría en la arquitectura: 15 viviendas colectivas contemporáneas en ...

And with some tiles it’s possible to avoid translational symmetry entirely. Using 2 x 1 rectangles, you can tile the plane in a way so that no translational symmetry emerges at all. This is a very ...

A “time crystal”, as originally proposed in 2012, is a new state of matter in which the particles are in continuous oscillatory motion. Time crystals break time-translation symmetry. Discrete time ...

Repeating patterns have translational symmetry, meaning you can shift one part of the pattern and it will overlap perfectly with another part, without being rotated or reflected.