This paper focuses on architectural façades with two-dimensional expanding capabilities and single degrees of freedom,exploring a systematic design method of generating hinged tessellations based on non-uniform prototype tessellations.Firstly,the paper analyses the characteristics of single-degree-of-freedom hinged tessellations in the fully expanded state.By adding appropriate hinged plates to non-uniform tiling prototypes,a general method for generating hinged tessellations is proposed.Subsequently,different types such as periodic and non-periodic prototypes are classified and discussed.Finally,a conceptual design is presented to reveal the application scenario.The design method proposed in this paper is systematic and universal,and can quickly generate a variety of two-dimensional expandable structures with aesthetic expressions.It has significant application value in the fields of architectural design,structural design,mechanical design,industrial design,and so on.