Disegnare nello spazio - Drawing in space

At the end of the nineteenth century, Wilhelm Fiedler believed that the homology of solid systems could be considered “the theory of the art of modelling”. This theory is, in fact, the perspective of figures that inhabit objective space, projected onto a second space superimposed on the first. This concept is as topical as it ever was, because it makes it possible to overcome the almost irreconcilable differences between the genesis of the graphic image and that of the digital image, being the former linked to the idea of the intersection of the visual pyramid and the latter to a product between vectors in which the Z ordinates are not taken into consideration, thus passing from a three-dimensional to a two-dimensional space. If instead the projection and section are created completely in space, as a relationship between an objective space and a perspective and scenographic space, not only are these antimonies eliminated, but it is also possible to obtain traditional methods as special cases of a more general concept and use this relationship to turn one figure into another, thereby obtaining, for example, quadrics as projective transforms of the sphere.