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An Exponentially Growing Nubot System Without State Changes

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Unconventional Computation and Natural Computation (UCNC 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11493))

Abstract

Self-assembly is the process in which simple units assemble into complex structures without explicit external control. The nubot model was proposed to describe self-assembly systems involving active components capable of changing internal states and moving relative to each other. A major difference between the nubot model and many previous self-assembly models is its ability to perform exponential growth. Several previous works focused on restricting the nubot model while preserving exponential growth. In this work, we construct a nubot system which performs exponential growth without any state changes. All nubots stay in fixed internal states throughout the growth process. This construction not only improves the previous optimal construction, but also demonstrates new trade-offs between different types of rules in the nubot system.

Research supported in part by MOST grant number 107-2221-E-002-031-MY3.

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Authors and Affiliations

  1. National Taiwan University, Taipei, Taiwan

    Chun-Ying Hou & Ho-Lin Chen

Authors
  1. Chun-Ying Hou
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  2. Ho-Lin Chen
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Correspondence to Ho-Lin Chen .

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Editors and Affiliations

  1. University of Saskatchewan, Saskatoon, SK, Canada

    Ian McQuillan

  2. University of Electro-Communications, Tokyo, Japan

    Shinnosuke Seki

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Hou, CY., Chen, HL. (2019). An Exponentially Growing Nubot System Without State Changes. In: McQuillan, I., Seki, S. (eds) Unconventional Computation and Natural Computation. UCNC 2019. Lecture Notes in Computer Science(), vol 11493. Springer, Cham. https://doi.org/10.1007/978-3-030-19311-9_11

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  • DOI: https://doi.org/10.1007/978-3-030-19311-9_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-19310-2

  • Online ISBN: 978-3-030-19311-9

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