How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...

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 ...

These patterns of activity are so complex that they are best described as geometric objects in high-dimensional spaces. One example of such an object is a torus, which resembles a donut. As Gosztolai ...

Kaleidocycles are found where science, math, and art meet. The objects resemble geometric sculptures that might be found in a modern art museum, but it is the motions they can undergo that really ...

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 ...

These are not the kinds of objects that concern Scott Sheffield. Sheffield, a professor of mathematics at the Massachusetts Institute of Technology, studies shapes that are constructed by random ...

IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more. Models of geometrical shapes and ...