| antisymmetry | symmetry with a property reversal |
| asymmetry | absence of symmetry |
| axis | visible or implied line of symmetry |
| border pattern | linear pattern |
| dissymmetry | slightly flawed symmetry |
| field pattern | pattern that covers a plane |
| fundamental region | smallest asymmetrical unit required to explain a pattern |
| glide reflection | rigid motion reflected along a line |
| grid | visible or implied series of points or intersections of axes |
| pattern | arrangement of parts that consists of an organized system based upon repetition |
| reflection | rigid motion across a line (axis) |
| rigid motion | mathematical transformation whereby size and shape remain the same while placement and orientation may change around a point, or along or across a line |
| rotation | rigid motion around a point |
| symmetry | fundamental organizing principle in nature and art |
| symmetry-breaking | absence of expected symmetry |
| symmetry operation | rigid motion that enables the transformation of a unit |
| tessellation | pattern formed by a single shape that when repeated covers the plane with no gaps and no overlaps |
| translation | rigid motion along a line |