The science of complexity studies the behavior and properties of complex systems in nature and human society. Particular interest has been put on their certain simple common properties. Symmetry is one of such propert...The science of complexity studies the behavior and properties of complex systems in nature and human society. Particular interest has been put on their certain simple common properties. Symmetry is one of such properties. Symmetric phenomena can be found in many complex systems. The purpose of this paper is to reveal the internal reason of the symmetry. Using some physical systems and geometric objects, the paper shows that many symmetries are caused by optimization under certain criteria. It has also been revealed that an evolutional process may lead to symmetry.展开更多
基金The work done by the second and third authors are partly supported by the National Natural Saence Foundation of China (No. 60343001,60274010).
文摘The science of complexity studies the behavior and properties of complex systems in nature and human society. Particular interest has been put on their certain simple common properties. Symmetry is one of such properties. Symmetric phenomena can be found in many complex systems. The purpose of this paper is to reveal the internal reason of the symmetry. Using some physical systems and geometric objects, the paper shows that many symmetries are caused by optimization under certain criteria. It has also been revealed that an evolutional process may lead to symmetry.
