The concept of emergence is a powerful concept to explain very complex behaviour by simple underling rules. Existing approaches of producing emergent collective behaviour have many limitations making them unable to account for the complexity we see in the real world. In this paper we propose a new dynamic, non-local, and time independent approach that uses a network like structure to implement the laws or the rules, where the mathematical equations representing the rules are converted to a series of switching decisions carried out by the network on the particles moving in the network. The proposed approach is used to generate patterns with different types of symmetry.

翻译：出现的概念是一个强有力的概念,通过简单的规则解释非常复杂的行为。现有的产生突发集体行为的方法有许多局限性,因此无法说明我们在现实世界中所看到的复杂情况。 在本文中,我们提出了一种新的动态、非本地和时间独立的方法,使用像结构这样的网络来执行法律或规则,将代表规则的数学方程式转换成由网络对网络中移动的粒子进行的一系列转换决定。提议的方法被用于产生不同类型对称模式。