Symmetry in mathematics occurs not only in geometry, but also in other branches of mathematics. It is actually the same as invariance: the property that something does not change under a set of ...

We are fond of saying things are symmetric, but what does that really mean? Intuitively we have a sense of symmetry as a kind of mirroring. Suppose we draw a vertical line through the middle of a ...

Receive emails about upcoming NOVA programs and related content, as well as featured reporting about current events through a science lens. Symmetry also has an aesthetic meaning, although this is ...

In his new book Creating Symmetry, Frank Farris uses ideas from advanced mathematics, such as complex analysis and abstract algebra, to transform snapshots of landscapes, flowers, or even his dinner ...

To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape. We are fond of saying things are symmetric, but what does ...

For decades, temporal and inversion symmetry were taught as static geometric concepts, but 2026 has shattered that view with real-world demonstrations of symmetry in motion. From the first ...