This article is the twelfth part of the scientific project under the general title "Geometrized Vacuum Physics Based on the Algebra of Signature " [1,2,3,4,5,6,7,8,9,10,11]. In this article, metric-dynamic models of naked "galaxies" of various classes are proposed based on the hierarchical cosmological model, the fundamentals of which are outlined in the previous articles of this project. Naked "galaxies" are considered as various sets of galactic Gk-"quarks" and Gk-"antiquarks", and represent giant resting (or rotating and moving) gravitational funnels, in which there are no small-scale "corpuscles" (i.e. any "stars", "planets", "molecules", "atoms" and "elementary particles"). Within the framework of this theory, when all types of small "corpuscles" enter the outer shells of naked "galaxies" (i.e., into gravitational funnels of various types), models of galaxies with the observed properties are formed. It is proposed to consider naked "galaxies" as giant "particles" of dark matter, and we also propose to supplement the Standard Model of elementary "particles" consisting of Ek-"quarks" and Ek-"antiquarks" (see Table 1 in [6]), with planetary Pk-"quarks" and Pk-"antiquarks" (see Table 1 in [6]), as well as galactic Gk-"quarks" and Gk-"antiquarks" (see Table 1 in this article).