A lattice structure comprising: - a plurality of primary profiles and a plurality of secondary profiles, each primary and secondary profile having flat ends, each flat end comprising holes at the centre of their width and slots open towards one lateral edge of the profile, wherein said slots can be perpendicular to the longitudinal axis of said primary profiles or secondary profiles when the profiles are configured to work under tensile or compressive forces, interchangeably, or can form an angle in a direction opposite to their working shape which is less than 90° with respect to the central longitudinal line existing between the slots of each of the ends of the profile when the profiles are configured to work under tensile force, or can form an angle greater than 90° with respect to said line when the profiles are configured to work under compressive force, - a plurality of connecting rings or half rings, and - a plurality of orienting elements, each consisting of an element that positions one connecting ring or half ring in a chosen plane, embracing or being supported on the plane of said connecting ring or half ring by means of further slot; wherein each orienting element has a plurality of further holes whereby each orienting element is solidly connected to said primary profiles or secondary profiles such that the distance between the holes of plurality of further holes defines the angle of the primary profiles or the secondary profiles joined in a node and modifies the overall shape of the lattice structure, - wherein each of connecting rings or half rings, consist of a structural element allowing the orienting elements and the primary profiles and secondary profiles forming the node of said lattice structure to become solidly connected, being supported on, embracing or being embraced by said connecting rings or half rings, wherein the primary profiles or secondary profiles are joined in pairs by means of 180° rotation along the longitudinal axis of one of them with respect to the other similar profile, such that the holes at the centre of their width for the joining elements match, and the further slots towards the sides match when they face each other as a consequence of the rotation of one profile with respect to the other, so as to provide a hole for the connecting rings or half rings. - a plurality of primary profiles and a plurality of secondary profiles, each primary and secondary profile having flat ends, each flat end comprising holes at the centre of their width and slots open towards one lateral edge of the profile, wherein said slots can be perpendicular to the longitudinal axis of said primary profiles or secondary profiles when the profiles are configured to work under tensile or compressive forces, interchangeably, or can form an angle in a direction opposite to their working shape which is less than 90° with respect to the central longitudinal line existing between the slots of each of the ends of the profile when the profiles are configured to work under tensile force, or can form an angle greater than 90° with respect to said line when the profiles are configured to work under compressive force, - a plurality of connecting rings or half rings, and - a plurality of orienting elements, each consisting of an element that positions one connecting ring or half ring in a chosen plane, embracing or being supported on the plane of said connecting ring or half ring by means of further slot; wherein each orienting element has a plurality of further holes whereby each orienting element is solidly connected to said primary profiles or secondary profiles such that the distance between the holes of plurality of further holes defines the angle of the primary profiles or the secondary profiles joined in a node and modifies the overall shape of the lattice structure, - wherein each of connecting rings or half rings, consist of a structural element allowing the orienting elements and the primary profiles and secondary profiles forming the node of said lattice structure to become solidly connected, being supported on, embracing or being embraced by said connecting rings or half rings,