ПОВЕРХНОСТИ ДИАГОНАЛЬНОГО ПЕРЕНОСА ВЕЛАРОИДАЛЬНОГО ТИПА НА РОМБИЧЕСКОМ ПЛАНЕ

Abstract

The paper illustrates the application of the formulae of general type derived by the author earlier for the definition of surfaces of diagonal translation of superellipses of variable curvature on a rhombic plane. Explicit and parametric equations were derived additionally for the large group of surfaces of diagonal translation of congruent superellipses. For the both cases, the surfaces of velaroidal type are examined on rhombic plane. All of presented surfaces were visualized with the help of methods of computer graphics. Due to availability of arbitrary exponents of powers in explicit equations of generatrix superellipses of the main frame of a translation surface, design of surfaces of diagonal translation was broadened for the case of using plane algebraic curves instead of superellipses in the process of choice of main frame of projected surface of diagonal translation. The presented surfaces can find the application in architecture, civili engineering, and in machine building.