Skip to main content

Laziness + Sensitivity + Mobility = Structure

Emergence of Patterns in Lattice Swarms

  • Conference paper
  • 1208 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1674))

Abstract

Natural collective systems, such as social insects, provide us with an existence proof that remarkable feats of construction can be achieved by’ simple’ agents. Such feats appear to demand impressive control and coordination which is even more remarkable since the agents are not provided with the overall ‘blue-print’ for construction. However, as a consequence of the agents carrying out simple rules, an emergent macroscopic structure can develop. In an attempt to understand some of the underlying principles, this paper deals with pattern formations built by a swarm of mobile agents in a lattice. In particular, the morphological classification of the formed structures is provided and classes of simple, complex and non-trivially ordered structures are characterised. For these experiments, all agents start their evolution at the same site in the lattice. This investigation extends the ideas of [1] and [18] by giving agents simple rules, based on neighbourhood characteristics, which govern whether they move or become static. The final outcomes, defined by the immobility of all agents, is studied and the global static structures created are presented and discussed. Since the rules are parameterised, the paper reports on the selection of rule types to generate classes of ordered structures.

Some parts of this work were supported by Hewlett Packard Laboratories, Bristol, under the External Research Programme.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Adamatzky A. and Holland O. Edges and computation in excitable media, In: Proc. ALIFE IV: 6th Int. Conf., on Artificial Life (MIT Press, 1998) 379–383.

    Google Scholar 

  2. Adamatzky A.I. Simulation of inflorescence growth in cellular automata, Chaos, Solitons and Fractals 7 (1996) 1065–1094.

    Article  Google Scholar 

  3. Adamatzky A. and Holland O. Voronoi-like nondeterministic partition of a lattice by collectives of finite automata, Mathl. Comput. Modelling 28 (1998) 73–93.

    Article  MATH  MathSciNet  Google Scholar 

  4. Babloyantz A. Molecules, Dynamics and Life (New York: Wiley, 1986).

    Google Scholar 

  5. Bonabeau E., Theraulaz G., Deneubourg J.-L., Franks N.R., Rafelsberger O., Joly J.L., Blanco S. A model for the emergence of pillars, walls and royal chambers in termite nests Philosophical Trans. Royal Soc. London Ser. B-Biol. Sci. 353 (1998) 1561–1576.

    Article  Google Scholar 

  6. Bonabeau E. From classical models of morphogenesis to agent-based models of pattern formation, Artificial Life 3 (1997) 191–211.

    Article  Google Scholar 

  7. Camazine S. Self-organizing pattern formation on the combs of honey bee colonies, Behav. Ecol. Sociobiol. 28 (1991) 61–76.

    Article  Google Scholar 

  8. Drexler E. Nanosystems: Molecular Machinery, Manufacturing, and Computation (Wiley: 1992).

    Google Scholar 

  9. Ermentrout B., Campbell J. and Oster G. A model for shell patterns based on neural activity, Veliger 28 (1986) 369–388.

    Google Scholar 

  10. Franks N.R., Wilby A., Silverman B.W. and Tofts C. Self-organizing nest construction in ants: sophisticated building by blind bulldozing, Animal Behaviour 44 (1992) 357–375.

    Article  Google Scholar 

  11. Grasse P.-P. La reconstruction du nid et les coordinations interindividuelles chez Belicositermes natalensis et Cubite. La théorie de le stigmergie: essai d’interpretation du comportement des termites constructeurs Insectes Sociaux 4 (1959) 41–84.

    Article  Google Scholar 

  12. Swinney H.L. and Krinsky V.I. (Eds.) Waves and Patterns in Chemical and Biological Media (North-Holland, 1991).

    Google Scholar 

  13. Hogg T. and Huberman B.A. Controlling smart matter Smart Materials and Structures 7 (1998) 1–14.

    Article  Google Scholar 

  14. Holland O. and Melhuish C. Getting the most from the least: lessons for the nanoscale from minimal mobile agents Proc. Artificial Life V (Nara, Japan, 1996) 59–66.

    Google Scholar 

  15. Lewis M. A. and Bekey G. A. The behavioural self-organization of nanorobots using local rules Proc. 1992 IEEE RSJ Intern. Conf. Intelligent Robots and Systems (Raleigh, NC, 1992) 1333–1338.

    Google Scholar 

  16. Markus M., Müller S.C. and Nicolis G. (Eds.) From Chemical to Biological Organization (Berlin: Springer, 1988).

    MATH  Google Scholar 

  17. Meinhardt H. Models of Biological Pattern Formation (New York: Academic Press, 1982).

    Google Scholar 

  18. Melhuish C.R., Holland O.E. and Hoddel S.E.J. Collective sorting and segregation in robots with minimal sensing Proc. 5th Intern. Conf. on Simulation of Adaptive Behaviour (Zurich, 1998) 465–470.

    Google Scholar 

  19. Murray J.D. Mathematical Biology (Springer, 1989).

    Google Scholar 

  20. Nicolis G. and Prigogine I. Self-Organization in Non-Equilibrium Systems (New Yorsk: Wiley, 1977).

    Google Scholar 

  21. Theraulaz G. and Bonabeau E. Coordination in distributed building Science 269 (1995) 686–688.

    Article  Google Scholar 

  22. Toffoli T. and Margolus N. Programmable matter Physica D 47 (1991) 263–272.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Adamatzky, A., Holland, O., Melhuish, C. (1999). Laziness + Sensitivity + Mobility = Structure. In: Floreano, D., Nicoud, JD., Mondada, F. (eds) Advances in Artificial Life. ECAL 1999. Lecture Notes in Computer Science(), vol 1674. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48304-7_60

Download citation

  • DOI: https://doi.org/10.1007/3-540-48304-7_60

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66452-9

  • Online ISBN: 978-3-540-48304-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics