symmetry

The correspondence of the form and arrangement of elements or parts on opposite sides of a dividing line or plane or about a center or an axis.

A relationship in which there is correspondence or similarity between entities or parts.

Beauty as a result of pleasing proportions or harmonious arrangement.

Invariance under transformation. For example, a system that is invariant under rotation has rotational symmetry.

Proportionality; commensurability; the due proportion of parts; especially, the proper commensurability of the parts of the human body, according to a canon; hence, congruity; beauty of form.

The metrical correspondence of parts with reference to a median plane, each element of geometrical form having its counterpart upon the opposite side of that plane, in the same continued perpendicular to the plane, and at the same distance from it, so that the two halves are geometrically related as a body and its image in a plane mirror: so, usually, in geometry.

The composition of like and equably distributed parts to form a unitary whole; a balance between different parts, otherwise than in reference to a medial plane: but the mere repetition of parts, as in a pattern, is not properly called symmetry.

Consistency; congruity; keeping; proper subordination of a part to the whole.

In biology: In botany, specifically, agreement in number of parts among the cycles of organs which compose a flower. See symmetrical, 3.

In zoölogy and anatomy, the symmetrical disposition or reversed repetition of parts around an axis or on opposite sides of any plane of the body.