Process for obtaining structures with three-dimensional surfaces having conical sections

摘要

The process, applicable to the field of construction, is based on conics (conical sections) (ellipse, hyperbola or parabola) considered as a matrix M, from which, taking the portion of radius of curvature between the conical section and one of its axes and multiplying by a constant value K = 1 + k (real number), keeping both the point of intersection of the radius with the axis and the direction thereof fixed, a result is obtained whereby the geometric location of the ends of these new segments is another conical section of identical type (ellipse, hyperbola or parabola), its axes not being proportional to those of the matrix (parent) conical section. The resulting bundle of conical sections, unlimited in principle, may be ordered in space according to any mathematically definable law assuming location of each conical section generated in space. In this way, it is possible to construct surfaces which are very easy to define mathematically.