Often when describing patterns, they are placed in one of two categories: organic or geometric. Organic designs are ones based on natural things, like the silhouette of a tree or fur pattern of an ...

Geometric objects take on different properties depending on the space in which you visualize them. Using techniques from an upstart field called tropical geometry — which analyzes complicated shapes ...

Geometric shapes and the negative space that forms between them are essentially the visual building blocks of our world. So, it's no surprise that so many people have chosen to impart upon themselves ...

Royal College of Art graduate Alessandra Fumagalli Romario explains how her project Imaginary Language gives actors and children tools to help them think more creatively in this video interview shot ...

Arnold’s work was in an area of mathematics that concerns all the different configurations a physical system like bouncing billiard balls or orbiting planets can take. These configurations are encoded ...

Computer programs can handle all sorts of data, from sums of money in bank accounts to sensor readings from scientific instruments. In many cases, the data are a set of discrete elements, such as ...

Jason Lotay explains how mathematicians studying special geometries are collaborating with physicists to explore M-theory, an 11-dimensional description of the world that unifies the various string ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...