## Adrift

Adrift is an artistic audio/visual composition made specifically for the AlloSphere 3D immersive environment. Underlying the work is a recursive matrix multiplication that generates an infinite sequence of coordinates. Adjusting the matrix coefficients gives an endless variety of both regular and complex patterns. The work interpolates from one parameter set to another producing an evolving visual and sonic environment. The mathematical system used is an iterated function that produces a sequence of 4-dimensional coordinates called an orbit. This system can be dissected into both a linear and non-linear part. The linear part is simply a recursive application of a transformation matrix on a 4-vector (a coordinate of the orbit), representing a scaling, rotation, and translation in four dimensions. Recursively applied, this transformation matrix results in a variety of spiraling orbits.

Key faculty, postdoctoral, and graduate student researchers associated with the project: Dr. Lance Putnam.