Polygonal chain sequences in the space of compact sets
Journal of integer sequences, Tome 12 (2009) no. 1
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
Keywords: Hausdorff metric, configuration, metric geometry, polygonal chains, Fibonacci numbers, Lucas numbers
@article{JIS_2009__12_1_a0,
author = {Schlicker, Steven and Morales, Lisa and Schultheis, Daniel},
title = {Polygonal chain sequences in the space of compact sets},
journal = {Journal of integer sequences},
year = {2009},
volume = {12},
number = {1},
zbl = {1228.51011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_1_a0/}
}
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/