THEOREM 8.1 explores the intersection of art and mathematics. It investigates the artistic possibilities of the mathematical concept of orthogonal projection. Given a set of digital images from the Jean Luc Godard film Alphaville (1965), the projection decomposes any source image of those dictionary images. The elements of the film are brightened or darkened so that their mixture approximates as closely as possible the source image. The aim of this project is to open up this technological black box, to foreground the computational process involved, and to experiment with its artistic possibilities.

(Mathematical Advisor: Felipe Cucker This work has been partially funded by City University of Hong Kong Research Projects #9610322 and #7004725.)

HECTOR RODRIQUEZ is a digital artist and theorist whose work explores the unique possibilities of computational technologies to reconfigure the history and aesthetics of moving images. He was Artistic Director of the Microwave International Media Art Festival, and is now a member of the Writing Machine Collective. He currently teaches at the School of Creative Media, City University of Hong Kong. He has taught courses on art and science, game studies, generative art, software art, media art theory, contemporary art, and film history.

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