Non-euclidean Geometries and Arts in the Beginning of the Twentieth Century: An Interdisciplinary Approach for High School Students

The action we are going to describe was carried out in a class of 27 students in the second grade of the High School (16–17 years old) IONIDIOS MODEL LYCEUM OF PIRAEUS, in the school year 2018–2019. The cooperative action of the mathematician and the philologist of the class, resulted from the common finding of a deficiency in the curricula which resulted in the students’ inability to approach holistically the changes imposed on society by the inseparable relation between art, science and technology. With this in mind, the action was designed and focused primarily on presenting trends in art and painting from Impressionism to Van Gogh in parallel with the progress and changes in science and society during that time. It was then attempted to link science, art and technology in the early twentieth century through an approach of artistic manifestations, principles and theories about mathematics and non-Euclidean geometries as they influenced architecture, sculpture, painting, the Bauhaus movement. The action was accomplished by achieving its objectives, since the artworks of high aesthetics produced by students, effectively incorporated the theory of modern mathematics and artistic avant-garde and highlighted the link between the scientific and artistic achievements of human creation.