On the occasion of the Computer Art Exhibition organized for this meeting, I will give a short general overview of the relationships between Art, Mathematics and Computer Science, to place into a wider context the specific works exhibited. I will tell a story in three acts, illustrated by many pictures. The first act deals with a superficial level of interaction beween art and mathematics, in which mathematical objects (solids, knots, surfaces ...) are used as subjects of the works of art. The second act deals with a deeper level of penetration, in which mathematical concepts (tessellations, perspective, hyperbolic geometry ...) are used as structures for the works of art. And the third act deals with an even deeper level of integration, in which computers and programs are used as tools by the artist, to achieve infinitary extensions of the finitary procedures used in the previous two acts. The opinions expressed in this video do not necessarily reflect the views of the Heidelberg Laureate Forum Foundation or any other person or associated institution involved in the making and distribution of the video.