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- W2951801455 abstract "We consider two optimization questions with respect to polyiamonds. What is the maximum number of holes that a polyiamond with $n$ tiles can enclose, and what is the minimum number of tiles required to construct a polyiamond with $h$ holes? These numbers will be given by the sequences $f_{triangle}(n)$ and $g_{triangle}(h)$, respectively. We are able to completely answer these questions and give the values of these sequences for all $n,hge 1$, in part by constructing a sequence of polyiamonds which has $h$ holes and $g_{triangle}(h)$ tiles for every $hge0$. Such a polyiamond is called crystallized." @default.
- W2951801455 created "2019-06-27" @default.
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- W2951801455 date "2019-06-20" @default.
- W2951801455 modified "2023-09-27" @default.
- W2951801455 title "Polyiamonds Attaining Extremal Topological Properties" @default.
- W2951801455 hasPublicationYear "2019" @default.
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