Assertion: symmetry | /r/HasProperty | mathematics
Facets:
value: formally
type: DEGREE
Source sentences:
text: Symmetry is the underlying mathematical principle behind all patterns and is important in art (used in architecture, pottery, quilting and rug making), mathematics (relating to geometry, group theory and linear algebra), biology (in shapes of organisms), chemistry (in shapes of molecules and crystal structures), and physics (where symmetries correspond to conserved quantities).
text: Formally, Symmetry is a mathematical concept used to describe shapes that do not seem to change when they are rotated, or when they reflected by a mirror, or both at the same time.
text: Symmetry is a mathematical operation, or transformation, that results in the same figure as the original figure (or its mirror image).