Computer Visualization of Geometry of Polynomial Roots

Using computer visualization, several results in the field of geometry of polynomial roots are presented. This computational tool yields a new dimension and a deep insight into properties of the geometry of polynomial roots and iterative processes for finding polynomial roots, discovering at the same time new properties, quite beyond human abilities. More generally, the presented communication demonstrates that sophisticated computer graphics, transforming numerical data into images, brings modern and novel perspectives of some mathematical topics.