結構平衡作為探討社群網路的方式之一，長時間以來有不少有趣的相關研究。考慮到更貼近現實，比起結構平衡中的單一關係，我們最主要的貢獻就是加入了人與人之間多重的關係。我們設計了一個多維動態網路的模型來描述人際關係隨著時間變化的情形。其中節點代表人，而邊上的多維向量代表多重關係。針對這個模型我們推出了微分方程式並求出在時間非常大、網路穩定時的解。透過數值分析發現，網路最終的結果不只和參數設定的傾向有關，初始條件的影響也大。

Contents
List of Figures
1 Introduction
2 Model and method
2.1 LTD2D(local triad dynamics in two-dimensional network)
2.1.1 model
2.1.2 differential equation
2.1.3 solution
2.2 LTD2D-extension
2.2.1 model
2.2.2 differential equation
2.2.3 solution
3 Experiment
4 Conclusion
Bibliography

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