Surfing projective space. Homology in graphic education

(Incipit) Talking about "homology" might appear a very old fashion matter nowadays, especially in relation to university education: sometimes freshmen coming from high school are already skilled in the basic use of computer graphics, while more advanced students are normally excellent self-directed learners in the eld of digital modelling. This fact could largely encourage graphic educators to retire, as "computer can do everything". Unfortunately things work a bit dierently, since a digital modeller is not enough to make you an excellent architectural designer, as well as a word processor is not enough to make a talented writer. In fact, we know that many students are often incapable of solving simple unexpected spatial problems in spite of the most performing software, as well as many of them can not write a good paper in spite of the use of the latest release of a writing program. (...).