| Notable theorists | Emmy Noether • Hermann Weyl • Ronald Fisher • Richard Feynman • Giulio Racah |
| Types of symmetry | Reflectional • Rotational • Scale • Translation • Helical • Fractal • Color • Point • Clone • Discrete |
| Special properties | Invariance • Conserved quantities in nature • Symmetry groups |
| Fields of application | Mathematics • Physics • Chemistry • Biology • Computing • Art • Architecture • Social sciences |
| Foundational concepts | Group theory • Lie groups • Crystallography • Topology • K-theory |
| Important discoveries | Noether's theorem • Renormalization group • Quark symmetry • Symmetry breaking • Mirror neurons |
