Architectural and Phenomenological Aspects in the Painting by Wassily Kandinsky: from a Topology-Geometry Dimension up to the Musical-Existential Dimension

Abstract Wassily Kandinsky’s art leads us towards a mathematical interpretation. He has developed theories on geometry, colors, music, and the way they can be combined. We propose in this article to investigate carefully three issues raised by Kandinsky’s art: (i) whether forms of complex numbers are hidden in a non-object form behind the geometric figures; (ii) whether we can talk about topology and the organization of space in paintings according to it and, (iii) whether all this combined gives us a new existential dimension of the universe reflected by Kandinsky on his painted canvas. We examine these keys of interpretation as an avenue to new research.