Some animals carry patterns so precise and mathematically exact that scientists struggle to explain how nature produced them ...

Mystics and mathematicians alike saw geometry as something truly special: the pattern of existence itself! They all agreed ...

A quartet of mathematicians from Yorkshire University, the University of Cambridge, the University of Waterloo and the University of Arkansas has discovered a 2D geometric shape that does not repeat ...

Each week, Mansion Global tackles a topic with an elite group of designers from around the world who work on luxury properties. This week we look at how to use geometric shapes in your home’s decor.

Second, the shape must be completely solid: that is, it must have a well-defined inside and outside that is separated by the shape itself. Third, any point on a line that connects two points in a ...

The usual approach to studying a solid in physics is to consider all the interactions acting between its atoms or molecules and then use the laws of quantum mechanics to determine the solid’s ...

Two RIKEN physicists have established new theoretical limits for experimentally measurable quantities by viewing solids through a lens of quantum geometry. Their results shed light both on the physics ...

Figure 1: Quantum objects such as electrons, protons and neutrons are notoriously difficult to pin down due to Heisenberg’s uncertainty principle. Now, two RIKEN researchers have derived analogous ...