Document Type

Article

Publication Date

9-2002

Abstract

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).

Journal

The International Journal of Mathematics and Mathematical Sciences

Volume

34

First Page

2193

Last Page

2201

Included in

Mathematics Commons

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