Universal Coating by 3D Hybrid Programmable Matter
CoRR(2023)
摘要
Motivated by the prospect of nano-robots that assist human physiological
functions at the nanoscale, we investigate the coating problem in the
three-dimensional model for hybrid programmable matter. In this model, a single
agent with strictly limited viewing range and the computational capability of a
deterministic finite automaton can act on passive tiles by picking up a tile,
moving, and placing it at some spot. The goal of the coating problem is to fill
each node of some surface graph of size n with a tile. We first solve the
problem on a restricted class of graphs with a single tile type, and then use
constantly many tile types to encode this graph in certain surface graphs
capturing the surface of 3D objects. Our algorithm requires Ø(n^2) steps,
which is worst-case optimal compared to an agent with global knowledge and no
memory restrictions.
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关键词
3d hybrid model,hybrid model
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