| 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, DM-CCG 2001, Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AA, pp. 257-274 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
| ps.gz-source: | dmAA0119.ps.gz (58 K) |
| ps-source: | dmAA0119.ps (156 K) |
| pdf-source: | dmAA0119.pdf (172 K) |
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