A new antenna design lighter, and with fewer mechanical connections between the elements has emerged. This concept consists of deploying a polygonal ring using the flexion energy present in the flexible joints connecting two consecutive bars. Shaped reflective surfaces can selectively avoid radiating to certain areas of the globe. However, these consist of rigid frames and are not deployable. Studies have been conducted to obtain a uniform tension in a mesh network. In order to tighten a shaped membrane into this new structure, a new type of network that can be inserted into the polygonal ring was studied. This new type of three-dimensional network that can fit into this ring or existing reflectors Page 2 / 43 has been developed with the aim of obtaining control points. Compared to the common cable domes used in civil engineering, the tension of this type of three-dimensional network is better distributed across all elements. Applications include shaped or meshed space antennas, and solar panel supports.