On the Representation of Gliders in Rule 54 by De Bruijn and Cycle Diagrams

Genaro J Martínez,Harold V Mcintosh,Andrew Adamatzky

doi:10.1007/978-3-540-79992-4_11

On the Representation of Gliders in Rule 54 by De Bruijn and Cycle Diagrams

Genaro J Martínez, Harold V Mcintosh + Show 1 more

Open Access

https://doi.org/10.1007/978-3-540-79992-4_11

Copy DOI

Publication Date: Sep 23, 2008
Citations: 22	License type: cc-by

Affiliation: University of the West of England, Benemérita Universidad Autónoma de Puebla

#Cycle Diagrams #De Bruijn Diagrams + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

Rule 54, in Wolfram's notation, is one of elementary yet complexly behaving one-dimensional cellular automata. The automaton supports gliders, glider guns and other non-trivial long transients. We show how to characterize gliders in Rule 54 by diagram representations as de Bruijn and cycle diagrams; offering a way to present each glider in Rule 54 with particular characteristics. This allows a compact encoding of initial conditions which can be used in implementing non-trivial collision-based computing in one-dimensional cellular automata.

Full Text

Paper version not known

Open DOI Link

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Similar Papers

Paper Title

Journal

Date

Author

View more papers

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.