Title: "Some thoughts on formal notation and methodologies for working (collabora tively) in perceptual environments."

Abstract: Virtual environments, spatialized sound, and haptic workbenches are increasingly included in the suite of tools offered in hightech research environments. Using them in combination, aspects of mathematical objects and concepts can be (re)mapped to a greater number of perceptual parameters than actually required creating rich phase spaces within which to

• explore human perception of multimodal mathematical mappings (what works, what doesn't, questions of scale and extension in space and time)
• identify, analyze and classify emergent patterns and relationships, where they occur
• develop formal notation and methodologies appropriate to such spaces.

  As background, the first part of this talk will discuss a formalism for visual notation and the example of rational numbers mod 1 in the restricted cin�matic environment of animation. The second part will outline current collaborative work in real time interactive 3D environments in Canberra and Vancouver.