Polygonal chain sequences in the space of compact sets
Journal of integer sequences, Tome 12 (2009) no. 1.

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Summary: Configurations in the hyperspace of all non-empty compact subsets of $n$-dimensional real space provide a potential wealth of examples of familiar and new integer sequences. For example, Fibonacci-type sequences arise naturally in this geometry. In this paper, we introduce integer sequences that are determined by polygonal chain configurations.
Classification : 51F99, 11B83
Keywords: Hausdorff metric, configuration, metric geometry, polygonal chains, Fibonacci numbers, Lucas numbers
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     author = {Schlicker, Steven and Morales, Lisa and Schultheis, Daniel},
     title = {Polygonal chain sequences in the space of compact sets},
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Schlicker, Steven; Morales, Lisa; Schultheis, Daniel. Polygonal chain sequences in the space of compact sets. Journal of integer sequences, Tome 12 (2009) no. 1. http://geodesic.mathdoc.fr/item/JIS_2009__12_1_a0/