A graphical tool for constructing mathematical fractals for the AMT Toolbox

This paper presents a design of a tool that can model mathematical fractals as part of the Toolbox for the subject Art, Mathematics and Technology (AMT). For creating fractals L-systems and Iterated Function Systems are used. This paper gives a concept for the tool and a Python implementation for the two dimensional case. For three dimensional fractals different representations of the three dimensional rotation group are studied. Also interesting for the AMT toolbox is the fractal dimension of a picture, the fractal dimension is studied and a method to find this is provided. In the end the tool is able to be used by graphical designers in such a way that the Mathematics stays hidden.