The article presents some topical morphological aspects of geometric modeling proposed by the author of the new types of ruled quasi-polyhedrons in design. The main algorithm for obtaining new forms of quasi-polyhedrons composed of conoid compartments is stated; the main layout diagrams of their geometric modeling are given. The resulting shapes of different types of new quasi-polyhedrons obtained using ruled conoidal surfaces are shown. The forms created by the author using computer three-dimensional modeling differ significantly from prototypes in their appearance and technical qualities, which allows us to speak about the expansion of their effective functional range in the field of design.