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In this paper we study the issue of the puzzle of the radii of calciumisotopes. Despite an excess of eight neutrons, strangely $^{48}{\rm Ca}$exhibits essentially the same charge radius as $^{40}{\rm Ca}$ does. Afundamental microscopic description of this is still lacking. Also strange is apeak in charge radius of calcium at N = 24. The $^{52}{\rm Ca}$ (N = 32)nucleus, well known to be doubly magical, amazingly has recently been found tohave a very large charge radius. Also amazing is the property of$^{42}_{14}{\rm Si}_{28}$ which simultaneously appears to be bothmagical/spherical and strongly deformed as well. We use a QuantumChromodynamics based model, which treats triton as elementary entity to make up$^{42}_{14}{\rm Si}_{28}$. We show here how this QCD based model is able toprovide a consistent physical understanding of simultaneity ofmagicity/sphericity and strong deformation of a single nucleus. This brings inan essential duality in the structure of $^{42}_{14}{\rm Si}_{28}$ andsubsequently also that of $^{48}_{20}{\rm Ca}_{28}$ We also provide consistentunderstanding of the puzzling radii of calcium isotopes. We predict that theradius of $^{54}{\rm Ca}$ should be even bigger than that of $^{52}{\rm Ca}$;and also that the radius of $^{60}{\rm Ca}$ should be the same as that of$^{40}{\rm Ca}$. In addition we also show wherefrom arises the neutron E2effective charge of $\frac{1}{2}$.

Puzzling Radii of Calcium Isotopes: $^{40}{\rm Ca} \rightarrow ^{44}{\rm  Ca} \rightarrow ^{48}{\rm Ca} \rightarrow ^{52}{\rm Ca}$, and Duality in the  Structure of $^{42}_{14}{\rm Si}_{28}$ and $^{48}_{20}{\rm Ca}_{28}$