El-Milik und Flares Series (2010-2012)
The El-Milik series is based on theoretical studies by the little-known French mathematician El-Milik, who studied the mathematics of ornamental forms in the 1930s. His best-known publication is Elements d’Algebre Ornamentale, Paris, 1936. Franke converted the structures developed by E-Milik into ornamentals with Mathematica.
For the Flares series, Herbert W. Fanke used the mathematical theory of “wavelets”, which was only developed in the 1980s and 90s, although its simplest form was already known mathematically at the beginning of the 20th century. Since then, the principle has been used in signal processing for data compression.
Herbert W. Franke has been working actively with Mathematica since 1995 – back then he started with version 3. The continuously developed and expanded programming language of Wolfram, which nowadays is used in research and development worldwide, simplified codes for all visualizations of mathematical special fields and was therefore ideally suitable for Franke’s aesthetic experiments. He was particularly interested in the interactive use of computer graphics and the transition to animation. Franke has implemented numerous programs with Mathematica.