2017 Bridges Conference Short Film Festival

# Stefan Samociuk

## Filmmakers

## Statement

Prime number cellular automata, PNCA, accept natural numbers as inputs/output and have a prime number control parameter, CP. They generate a multi dimensional number space on each iteration. In these spaces we observe a new prime number property, languages of symbols, syntax and grammar. Symbols are represented as discrete, matrix like collections of integers with the metric of the matrix identical to CP. Each space consists of a periodic geometry of symbols based on the specific space group , SG, of the PNCA used. Iterations of the cellular automata, the frames, are cyclic based on CP. For a CP of P, frames modulo P to each other, e.g. 1P+1 2P+1 ..., contain an identical and finite set of symbols termed the geometric alphabet. Selective ordering of symbols with neighbours defines syntax. Larger geometric collections display the grammar and in total define the geometric narrative. Each narrative is based on CP,SG,Frame Number and other parameters defined at frame zero.