Abstract: Disclosed is a system of spherical joints and tubular beams that interconnect to make a spatial reticulate construction based on geometries composed of basic tetrahedral and semi-tetrahedral modules. The joint includes two equal semispherical caps symmetrically organized around a central plate with four or more square fissure sections, joined by a single central screw allowing simultaneous clamping of eight or more hammer terminals at the beam ends. These extremities have a prismatic hammer shape with hexadecagonal base and a multifaceted hemisphere. The frames have a prismatic square section, allowing rotation only in the plane of the board of the joint. The design has a prismatic shape with a square section of multifaceted pole hammer terminals present both on the hammer head and within the caps which eliminates the structural instability that arises in the reticular structure due to the rotation of the beams around the several crux after clamping.