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arXiv · 2206.01480

Arbitrary pattern formation by opaque fat robots on infinite grid

Manash Kumar Kundu·Pritam Goswami·Satakshi Ghosh·Buddhadeb Sau
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Abstract

Arbitrary Pattern formation ($\mathcal{APF}$) by a swarm of mobile robots is a widely studied problem in the literature. Many works regarding $\mathcal{APF}$ have been proposed on plane and infinite grid by point robots. But in practical application, it is impossible to design point robots. In \cite{BoseAKS20}, the robots are assumed opaque fat robots but the environment is plane. To the best of our knowledge, no work till now ever considered the $\mathcal{APF}$ problem assuming opaque fat robots on infinite grid where movements are restricted. In this paper, we have provided a collisionless distributed algorithm and solved $\mathcal{APF}$ using 9 colors.

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Manash Kumar Kundu, Pritam Goswami, Satakshi Ghosh, Buddhadeb Sau. 2022-06-03. Arbitrary pattern formation by opaque fat robots on infinite grid. https://doi.org/10.1080/17445760.2022.2088750

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