Symmetries and equilibriums
Symmetry is another important characteristic. The concept of symmetry is evidently rooted in body shapes and later became one of the first aesthetic concepts, based on the image of a healthy body. It gradually became clear that symmetry is a pervasive pattern in nature. Classical philosophers and mathematicians dealing with geometry further developed this observation and defined the shapes of Platonic solid figures. Presently, the search for symmetries have become a dominant approach in particle physics, in solving covering and packing problems, or in the fine arts partly following the traditions of Escher.
Equilibrium is a characteristic related to symmetry. It is probably rooted in the direct exchange of goods (barter), this is why its main tool and symbol is the scales. The search for and depiction of equilibriums permeate all fields of science from physics to psychology, economics and sociology. Its mathematical representation operates with the increasingly complex and abstract system of equations.
The concepts of symmetry and equilibrium always come up when we think about the relations of changes and constancies. The important lesson here is how our concepts are created through the generalisation of the characteristics of figures (shapes).