On the Tribute of Graphic Applications to Geometric Theories (and Vice Versa)

It is sometimes hard to decide whether the relationship between theory and application is a "top-down" or a "bottom-up" process, not only in science but also in art and techniques, where often math - in our case geometry - seems to arise from applications, like in the case of Survey and Projective Geometry, or to deeply share inspiration with applications, like in the cases of Expressionism and Topology, or of Impressionism and the modern theories in Physics, all the mentioned fields appearing strongly related to their specific cultural contexts.