Polygonal chain sequences in the space of compact sets

Steven Schlicker, Lisa Morales, Daniel Schultheis

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume12
Issue number1
StatePublished - Feb 6 2009

Keywords

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

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