The article formulates new scientific form-making approaches/concepts to the problem of equal-element geometric structuring of modern spherical objects, and also presents a register of some forms of isohedral spherical tilings and star polyhedrons obtained by the author for various areas of design. The author proposes the main algorithm of the morphological technology for the formation of isohedral spherical partitions, which consists in creating variable additional subdivisions of the original partitions- central projections of equal-element polyhedrons onto the surface of the sphere. The practical use of the algorithm in three versions is shown.