Zeolite LSX (low-silica X) crystals have an aluminosilicate framework with regular supercagesand β-cages. They are arrayed in a double diamond structure. The loading density of guest Katoms per supercage (or β cage), n, can be controlled from 0 to ~ 9. At n < 2, samples are nearlynonmagnetic and insulating. The Curie constant has a clear peak at n = 3, and the electricalresistivity suddenly decreases simultaneously. The electrical resistivity suddenly decreases again atn = 6 and shows metallic phase at n > 6. These properties are explained by the polaron effectincluding the electron correlation. Ferrimagnetic properties are observed at n ~ 9. A remarkableincrease in the resistivity is observed at very low temperatures at n ~ 9, and is discussed in termsof the hypothesis of a Kondo insulator.