||In the modelling process of curve shapes, some conic lines have been privileged to the point that they have become tools in CAD systems: circumferences and ellipses. Others have been ignored to the point of being excluded: parabolas and hyperbolas. Important reasons make this rescue convenient. One of those is that these curves are frequently used in design because of their distinct identification. In theory, modern "splines" and "nurbs" cover the whole range of whatever a designer might want to draw (as far as curve shapes are concerned). However, its structuring capacity cannot be compared to that of conic lines. To have all the conceivable curves and to lack the possibility of organizing them, restricts its morphological potentialities. There is a set of notable curves, among others lemiscates, spirals and Cassinian ovals, that keep waiting for new technologies to give them the possibility of existence. Though these lines have a high aesthetic and graphic value, they are not frequently included in projects. This is not because they are unsuitable, but because there are not simple possibilities of drawing them. We expect graphic computing will fill this empty place, so that these shapes become part of our habitat.