The human visual system exhibits a remarkable ability to decipher the three-dimensional structure of the world from two-dimensional retinal images. Central to this process is the utilisation of shape ...

A group of mathematicians has shown that at critical moments, a symmetry called rotational invariance is a universal property across many physical systems. For more than 50 years, mathematicians have ...

Researchers learn to predict how crystals take shape from their internal chemistry, even when the crystal lacks symmetry. A crystal's shape is determined by its inherent chemistry, a characteristic ...

(Nanowerk News) A crystal’s shape is determined by its inherent chemistry, a characteristic that ultimately determines its final form from the most basic of details. But sometimes the lack of symmetry ...

This course explores some visual aspects of mathematics. Topics are chosen from areas such as geometric constructions, tessellations of the plane, symmetry groups, Platonic and Archimedean solids, ...

Ikoma, Japan – The generation and maintenance of tissue boundaries are fundamental to the development of functional organs in both plants and animals. In general, tissue boundaries are initially set ...

Scientists discover how a hidden crystal pattern in advanced materials can control how they emit light, offering new ways to guide ultrafast signals using lasers. (Nanowerk Spotlight) Modern ...