A unique hypothetical model for the nuclear architecture is appended here from simple symmetry considerations bereft of any mathematical intricacies. Quite a number of nuclear models have been developed to describe the arrangement of protons and neutrons inside an atomic nucleus but no concrete proposition has been put forward till today. In the present model a ‘core’ alpha particle is sequentially encircled by all the Platonic solid structures in order of their increasing capacity. This Polyhedral Cage model is the extension of Paulion (p – n) condensation model and can successfully explain the nucleosyntheses of all nuclei especially of higher mass number. The sides of all the polyhedra are built up of p – n pairs (and n – n pairs). Except tetrahedron (the faces of which cannot accommodate nucleons due to its small size and its nearness to the core), faces of other polyhedron are occupied by nucleons in a symmetric fashion to impart stability to the resulting nucleus. Interestingly, on gradual filling up of the polyhedra, certain combinations of protons and neutrons that reach complete filling of each polyhedron (either sides or faces or both) correspond to the so called ‘Magic numbers’. The model reflects qualitatively the formation of stable isotopes as described in Segre᷆ Chart and embraces the features of all other presently accepted nuclear models into one qualitative frame. Nuclear reactions such as Fission (both asymmetric and symmetric) and Fusion processes have been logically explained. The so called “neutrino puzzle” in the production of energy in the Sun can be avoided by this model.