Ruled algebraic surfaces with a main frame from three superellipses

An opportunity of conversion algebraic surfaces with a main frame from three superellipses general type into ruled several views is shown. It necessary to take one, two, or all in the form rhombus, i.e. it assume exponents explicit equations suitable equal one. was illustrated that having taken one and same plane curves lying coordinate planes, can construct different orders. So, possible introduce practice great number preliminary given superellipses. Some them must be straight lines. As result, fifteen shapes, five threes were obtained help systems parametric equations. These contain polyhedron on rhombus plane, some types cylindroids conoids, not described scientific literature before. All visualized for concrete examples. Earlier, Professor A.V. Korotich introduced new group which he called “Ruled quasipolyhedrons conoids.” presented this paper put quasipolyhedrons.