British Dictionary definitions for symmetricalness
symmetrical
/sɪˈmɛtrɪkəl/
adjective
1.
possessing or displaying symmetry Compare asymmetric
2.
(maths)
(of two points) capable of being joined by a line that is bisected by a given point or bisected perpendicularly by a given line or plane: the points (x, y) and (–x, –y) are symmetrical about the origin
(of a configuration) having pairs of points that are symmetrical about a given point, line, or plane: a circle is symmetrical about a diameter
(of an equation or function of two or more variables) remaining unchanged in form after an interchange of two variables: x + y = z is a symmetrical equation
3.
(chem) (of a compound) having a molecular structure in which substituents are symmetrical about the molecule