Title :
Von Neumann´s 29-state cellular automaton: a hardware implementation
Author :
Beuchat, Jean-Luc ; Haenni, Jacques-Olivier
Author_Institution :
Logic Syst. Lab., Swiss Federal Inst. of Technol., Lausanne, Switzerland
fDate :
8/1/2000 12:00:00 AM
Abstract :
In the early 1950s, John von Neumann designed a cellular automaton implementing a universal self-replicating structure. More than 40 years after his death, the first hardware implementation of von Neumann´s transition rule is presented. Unfortunately, this implementation only allows small systems to be realized, and not the complete structure, which would require 100000-200000 cells, according to some estimations. A logic circuit which implements the transition rule and represents a single cell of the array has been developed. The applications of this implementation lie mainly in the pedagogical domain. It can be used as a demonstration tool for courses on cellular automata
Keywords :
cellular automata; computer science education; logic circuits; teaching; cellular automata courses; hardware implementation; logic circuit; pedagogical domain; universal self-replicating structure; von Neumann´s 29-state cellular automaton; von Neumann´s transition rule; Automata; Collaboration; Computational modeling; Hardware; Instruments; Logic arrays; Logic circuits; Mathematics; Military computing; Nuclear weapons;
Journal_Title :
Education, IEEE Transactions on