The paper is based on a cold genesis theory of the author, (CGT), in which the proton results as formed by a neutral N p cluster of degenerate electrons and an attached positron with degenerate spin and magnetic moment. Also, the neutron results in a "dynamide" model, as formed by a proton and a degenerate electron with degenerate spin and magnetic moment, with its centroid incorporated in the proton quantum volume and rotated around the proton center. In the paper it is shown that the stable nuclei with "magic" or semi-"magic" number of protons or and neutrons: 2; 8; 20; 28; (32, 36, 40); 50; 82; 126, are retrieved by a quasi-crystalline nuclear model of ground state T0K, as sum of quasi-crystalline forms with integer number of alpha particles with 2n 2 protons and 4n 2 nucleons having small deformation parameter, for the double 'magic' nuclei. This possibility may be explained by the dynamide model of neutron of CGT by the hypothesis of 0neutron clusters cold forming at T0K and the generating of small square forms of neutral 0particles which are transformed into nuclei by 0-particles transforming into + and 2+ particles which attract new 0-particles, the process being repeated until the forming of double magic nuclei which may attract nucleons or 0-clusters transformed thereafter into + clusters, or of nuclei with "magic" mass number. According to the model, the nucleus 208 Pb82 corresponds to the initial form: 208 N104 (Z=2(4 2 +6 2)) in which 22 attracted 0-clusters were transformed into + clusters, by radiation emission. The proposed model predicts that the nuclei with A=4(5 2 +7 2)=296, A=4×(6 2 +2×4 2 +2×2 2 =304) nucleons and Z=114120 are more stable in the ground state than the forms: 114/184, 120/182 predicted with the "nuclear shells" model. Also, it results as possible the forming of cold semi-"magic" nuclei with hexagonal symmetry, with the mass number A=(3×4n 2), (n=1…5).