AbstractDeployability of reciprocal frame (RF) structures can aid in the creation of multifunctional architectures, satisfy the needs of flexible architectures, and adapt to climatic and environmental conditions. However, changes in the perimeter of a structure during deployed and retracted states may result in low efficiency in architectural design and limit its architectural applications. The purpose of the present study was to investigate the geometric feasibility of deployable kinetic reciprocal frame (KRF) structures with constant perimeters and fixed support points. This structure can cover constant perimeter without any change while adapting, particularly providing many potential benefits in architectural applications and bridging the gap between two states. The research methodology used in this paper is a design-based examination of the geometry of fixed RF structures. The study’s findings revealed a wide range of KRF structures that can cover various geometric plans using moving elements along a specific path on adjacent elements and rotating them in fixed supports on the outer polygon without modifying the perimeter during deployment or retraction.

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