The major focus of my artwork as been in the area of generative design or "design by numbers". This includes investigating nonstandard geometry to generate unexpected forms that are sculptural but also could be used to suggest architectural lements. I am also interested in the concept of user generated art off the web; see JAVA examples on iit.edu web site.
In the 1997 Association of Computer-Aided Design in Architecture Conference, work was presented on articulating basic forms, such as, the circle, cardoid, and nephroid, through means of parameter driven computer programs. That investigation also included examples of randomness. In the Mathematics & Design 1998 Conference, forms were developed using the concept of Hilbert's Space Curve and in the 1999 International Society of the Arts, Mathematics and Architecture onference, both 2D and 3D forms were generated from spirolaterals.
These investigations were for the purpose of generating forms, but also
to better understand the process of creating such computer programs and
how to teach such methods.
The concept of this particular sculpture is based on an investigation of a variation to the Hilbert Curve, to use its elements, connecting lines and nodal points, to generate a series of components that could be assembled into a three-dimensional form. Some twenty components were created, such as, supports, vertical planes, horizontal planes, and volumes. These were further represented as straight, curved, and spline elements. To interpret the space curve in three-dimensions, an angle of 120 degrees was used and as the curve overlapped itself, the intersection
point denoted the change in the third dimension.
The assemblage presented here includes, at the base, the space curve flatten out, vertical supports from each nodal point, and a lattice for each vertical level of the curve.
The entire form was created through a computer program, with only the
final assemblage being manually completed for the purpose of generating
a rapid prototyping file.
The 1997 ACADIA paper outlines the entire process to a greater degree.