A reciprocal frame (RF) is a type of structure used since early times. It consists of mutually supporting bars that can span large distances greater than the length of the bar. Although there are deficiencies in previous studies, there are movable RFs, but we cannot talk about the existence of a 3-dimensional deployable RF network. This study aims to contribute to the missing knowledge for movable RF fans and develop a deployable RF network. The study has conducted a comprehensive literature review to gain knowledge and identify the deficiencies of RFs. There are many studies about RFs, but it has been observed that very limited research has been done on movable RFs, and some geometric properties have not been made yet. Firstly, missing geometric knowledge has been found, which are the positions and orientations of the joints by using Denavit-Hartenberg parameters. Also, the effect of engagement length on the fan height and base edge is analyzed. A reconfigurable demountable RF fan is created with the obtained geometric knowledge. Then, mobility calculations are made, and kinematic diagrams are drawn for zero, single, and multi degrees of freedom (DoF) triangular, quadrilateral, and pentagonal fans. Their motions are investigated, and 3-dimensional (3d) simulations are generated. A two DoF quadrilateral fan with prismatic and revolute joints is produced. Then the possibilities of assembling the two DoF fans are searched to create a deployable RF network. While the network has a single DoF in the direction of vault curvature, it has multi DoF in the thickness direction. The network takes the form of a roll in its most closed state, and it takes the form of a vault in its most open state. The section of the curvature of the deployable network is the same as the Da Vinci bridge. However, while simple joints were used in the Da Vinci Bridge, revolute and prismatic joints are used in the proposed deployable RF network.