The Mathematical Theory
The sculptures shown on this page were created in association with my
forthcoming book. In this book, I develop a mathematical theory of design,
in which the design-process is formalized in terms of hierarchies of groups.
A central aspect of the theory is a group-theoretic formalization of
aesthetic content and its relation to the successive decisions of the
artist. In order to develop this theory, I had to carefully observe my own
design decisions, for example, when creating these sculptures. I soon
realized that one had to invent a new class of mathematical groups in order
to describe the layering of decisions in the design-object. This class of
groups is described in detail the book. You can see enlarged views of my
sculptures by clicking on them.