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- W2730999745 abstract "A polyiamond is an edge-connected set of cells on the triangular lattice. In this paper we provide an improved lower bound on the asymptotic growth constant of polyiamonds, proving that it is at least 2.8424. The proof of the new bound is based on a concatenation argument and on elementary calculus. We also suggest a nontrivial extension of this method for improving the bound further. However, the proposed extension is based on an unproven (yet very reasonable) assumption." @default.
- W2730999745 created "2017-07-14" @default.
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- W2730999745 date "2017-01-01" @default.
- W2730999745 modified "2023-09-27" @default.
- W2730999745 title "An Improved Lower Bound on the Growth Constant of Polyiamonds" @default.
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- W2730999745 doi "https://doi.org/10.1007/978-3-319-62389-4_5" @default.
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