Historically, there are many examples of model building of mathematical surfaces. In particular, models of a very special cubic surface called the Clebsch diagonal have been built in plaster and clay since the 19th century. The sculptor Cayetano Ramírez has succeeded in building this surface using polyester. With this material, the resulting sculpture shows all the mathematical properties of the surface. We first give a short mathematical introduction and an overview of the models that have been built in the past to represent it. Next, we proceed to describe the work of Cayetano, explaining the techniques used by him in the whole procedure