Three-dimensional images arise out of mathematical formulas, complex physical systems become directly visible. Science has always tried to comprehend and shape the forms of objects. In the past this was done with pencil and ruler, today one applies computers with powerful mathematical programs for visualisation.

For every single picture, hundreds of thousands of virtual rays must be determined, millions of triangles calculated, or extensive and complex simulations carried out. In ways that remain mysterious, the aesthetic component of mathematics reveals itself thereby. The three interactive programs demonstrate the current state of the art in geometry and in communication of mathematics.