A classification of periodic turtle sequences
type: Item
instance of: scholarly article
title: A classification of periodic turtle sequences
zbMATH Open document ID: 1045.68099
DOI: 10.1155/S0161171203209078
author: J. Holdener
author: Amy Wagaman
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/50921
review text: Summary: A turtle sequence is a word constructed from an alphabet of two letters: \(F\), which represents the forward motion of a turtle in the plane, and \(L\), which represents a counterclockwise turn. In this paper, we investigate such sequences and establish links between the combinatoric properties of words and the geometric properties of the curves they generate. In particular, we classify periodic turtle sequences in terms of their closure (or lack thereof).
Mathematics Subject Classification ID: 68R01
Mathematics Subject Classification ID: 68R15
zbMATH DE Number: 1930100
MaRDI profile type: Publication
Wikidata QID: Q121747365
OpenAlex ID: W2106077109
description: scientific article; zbMATH DE number 1930100