Non-symmetrical is an adjective that describes an object or shape that lacks symmetry. Antonyms for non-symmetrical include symmetrical, balanced, even, proportional, and harmonious. Symmetrical refers to an object that displays the same shape, size, and position on both sides of a central axis. Balanced means that the object is equal in weight, proportion, or distribution. Even refers to something that is flat or smooth and level. Proportional implies that two or more objects are related in size, degree, or amount. Harmonious refers to two or more elements that combine to create a pleasing, balanced effect.