The 17 wallpaper groups describe this property for two-dimensional patterns like wall tilings.
The set of all of these for a field extension has the structure of a Galois group. The coefficients of a monic polynomial are described by elementary polynomials with this property. A physical system with this property has a corresponding conserved quantity, according to Noether's theorem. The 17 wallpaper groups describe this property for two-dimensional patterns like wall tilings. Odd functions have this property relative to the origin, and even functions have it relative to the y-axis. For 10 points, name this property whose reflective form is possessed by shapes that look the same as their mirror images.
The set of all of these for a field extension has the structure of a Galois group.
{symmetry} or {automorphism} [accept word forms, prompt on {permutability} ]