Generative Mathematics: Mathematically Described and Calculated Visual Art

One of the main functions of the computer is the graphic display of results. Through the use of the computer, the visualization of mathematical relations can lead to new ways of comprehending mathematics. In addition, the resulting images can be remarkably attractive. The authors show how mathematics can be used as a tool for the creation of artistic images. They present examples of methods that illustrate how long-established relationships between art and mathematics can be brought up-to-date.