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I would like to thank the ILL department at the University Library at the University of Michigan for loaning Christopher Langton's PhD dissertation for an amazing five months! His thesis was an unimaginibly powerful source of inspiration and ideas for this paper. Thank you to the UCSC Inter-Library Loan department for facilitating the loan from Michigan.

Thank you Ralph Abraham for advising me on this thesis topic and providing Chris Langton's wonderful video on Artificial Life in Cellular Automata.

Thank you mom and dad, whom without, this experience would not have happened.

Jeremy Avnet (brainsik); Senior Thesis, Mathematics; University California, Santa Cruz; 6th June 2000; email: jeremy(at)