The state of structural balance (termed also ‘Heider balance’) of a social network is often discussed in social psychology and sociophysics. In this state, actors at network nodes classify other individuals as enemies or friends. Hence, the network contains two kinds of links: positive and negative. Here a new cellular automaton is designed and investigated, which mimics the time evolution towards the structural balance. The automaton is deterministic and synchronous. The medium is the triangular lattice with some fraction $f$ of links removed. We analyse the number of unbalanced triads (parameterized as ‘energy’), the frequencies of balanced triads and correlations between them. The time evolution enhances the local correlations of balanced triads. Local configurations of unbalanced triads are found which are blinking with period of two time steps.

社交网络的结构平衡状态（也称为“ Heider平衡”）经常在社会心理学和社会物理学中讨论。在这种状态下，网络节点上的参与者将其他人归类为敌人或朋友。因此，网络包含两种链接：正向和负向。在这里，设计并研究了一种新的细胞自动机，它模仿了时间向结构平衡的演变。自动机是确定性的和同步的。介质是具有一定分数的三角形晶格$F$链接已删除。我们分析了不平衡三合会的数量（参数化为“能量”），平衡三合会的频率以及它们之间的相关性。时间的演变增强了平衡三合会的局部相关性。发现不平衡三合会的本地配置，它们以两个时间步长的周期闪烁。