Author
A. Pelletier
Bio: A. Pelletier is an academic researcher. The author has an hindex of 1, co-authored 1 publications receiving 58 citations.
Papers
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61 citations
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TL;DR: A new aperiodic tile set containing only 14 Wang tiles is presented, based on Mealy machines that multiply Beatty sequences of real numbers by rational constants.
178 citations
TL;DR: A new aperiodic tile set containing only 13 tiles over 5 colors is presented, based on a recent technique developed by Kari, that simulate the behavior of sequential machines that multiply real numbers in balanced representations by real constants.
153 citations
01 Jan 1986
TL;DR: In this article, the authors present a survey of combinatorial properties related to factors of Fibonacci words, and describe basic arithmetic operations in the FPN system, including normalization and addition.
Abstract: Fibonacci words have many amazing combinatorial properties. Like Fibonacci numbers they are easy to define, and many of their properties are easy to prove, once discovered. The aim of this survey is to sketch some of the combinatorial properties related to factors (subwords) of Fibonacci words, and also to describe basic arithmetic operations (i.e. normalization and addition) in the Fibonacci number system. No attempt was made to be complete.
73 citations
TL;DR: Following suggestions of P. ErdGs, it is proved that, for fixed m and n, there are only finitely many possible sets of barycentric coordinates for the interior points.
40 citations
TL;DR: This paper gives complete answers to the following two questions: Find f(n) = [n@a] as a function of n for all positive integers n and characterize the set of all f( n).
29 citations