New mathematical questions are formulated and new artworks are produced in their shared exploration of the mathematical concept known as tree space – a model for the geometric relation between different branching configurations. Both the mathematical and the artistic approaches begin with inspiration, followed by messy, arduous processes of creation and continual refinement; the artist and the mathematician labor through much the same passions. On the surface, the end results show the distance by which the fields of mathematics and art have grown apart, but by working together the possibility for new, inspiring insights arises in both fields.

There is a deep sympathy between the fields of mathematics and art and, while the subject matter is fascinating and compelling, in many ways the collaboration itself has become the true fruit of their labors.