Polygonal chain sequences in the space of compact sets

Steven Schlicker, Lisa Morales, Daniel Schultheis

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number09.1.7
JournalJournal of Integer Sequences
Issue number1
StatePublished - Feb 6 2009


  • Configuration
  • Fibonacci numbers
  • Hausdorff metric
  • Lucas numbers
  • Metric geometry
  • Polygonal chains

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