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 ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

Quantum groups, as algebraic entities that extend classical group symmetries into the noncommutative domain, have increasingly become central to advances in both pure and applied mathematics. These ...

A 3D-printed decuplet crystal, skeleton, and nerves of a big algebra designed by Daniel Bedats. Printed with the Stratasys J750 3D printer at ISTA’s Miba Machine Shop. Symmetry is not just a question ...