Discrete Models: Combinatorics, Computation, and Geometry, DMCCG 2001
Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.)
DMTCS Conference Volume AA (2001), pp. 257274
author:  Aaron Meyerowitz 

title:  Tiling the Line with Triples 
keywords:  Tiling, one dimension, direct proof 
abstract: 
It is known the one dimensional prototile
{0,a,a+b}
and its reflection
{0,b,a+b}
always tile some interval. The subject has not
received a great deal of further attention, although many
interesting questions exist. All the information about
tilings can be encoded in a finite digraph
D
. We present several results about cycles and other
structures in this graph. A number of conjectures and open
problems are given.
ab

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reference:  Aaron Meyerowitz (2001), Tiling the Line with Triples, in Discrete Models: Combinatorics, Computation, and Geometry, DMCCG 2001, Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AA, pp. 257274 
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