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Shortest Path Finding in Mazes by Active and Passive Particles

Chapter
Part of the Emergence, Complexity and Computation book series (ECC, volume 32)

Abstract

Maze solving and finding the shortest path or all possible exit paths in mazes can be interpreted as mathematical problems which can be solved algorithmically. These algorithms can be used by both living entities (such as humans, animals, cells) and non-living systems (computer programs, simulators, robots, particles). In this chapter we summarize several chemistry-based concepts for maze solving in two-dimensional standard mazes which rely on surface tension driven phenomena at the air-liquid interface. We show that maze solving can be implemented by using: (i) active (self-propelled) droplets and/or (ii) passive particles (chemical entities).

Notes

Acknowledgements

J. Č. was financially supported by the Czech Science Foundation (Grant No. 17-21696Y). Other authors acknowledge the financial support of the Hungarian Research Fund (OTKA K104666). Financial support for R. T. by the Marie Heim-Vogtlin Program under project no PMPDP2-139698 is gratefully acknowledged. D. U. and I. L. gratefully acknowledge the financial support of the National Research, Development and Innovation Office of Hungary (TÉT12JP-1-2014-0005).

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.University of Chemistry and Technology PraguePragueCzechia
  2. 2.Laboratory for High Performance Ceramics, EmpaDübendorfSwitzerland
  3. 3.School of MathematicsUniversity of EdinburghEdinburghUK
  4. 4.Faculty of EngineeringMusashino UniversityTokyoJapan
  5. 5.Department of PhysicsBudapest University of Technology and Economics and MTA-BME Condensed Matter Research GroupBudapestHungary

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