A self-similar tiling generated by the minimal Pisot number
Shigeki Akiyama; Taizo Sadahiro
Acta Mathematica et Informatica Universitatis Ostraviensis (1998)
- Volume: 06, Issue: 1, page 9-26
- ISSN: 1804-1388
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topAkiyama, Shigeki, and Sadahiro, Taizo. "A self-similar tiling generated by the minimal Pisot number." Acta Mathematica et Informatica Universitatis Ostraviensis 06.1 (1998): 9-26. <http://eudml.org/doc/23814>.
@article{Akiyama1998,
author = {Akiyama, Shigeki, Sadahiro, Taizo},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {fractal; plane tiling; Pisot number; beta-expansions},
language = {eng},
number = {1},
pages = {9-26},
publisher = {University of Ostrava},
title = {A self-similar tiling generated by the minimal Pisot number},
url = {http://eudml.org/doc/23814},
volume = {06},
year = {1998},
}
TY - JOUR
AU - Akiyama, Shigeki
AU - Sadahiro, Taizo
TI - A self-similar tiling generated by the minimal Pisot number
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1998
PB - University of Ostrava
VL - 06
IS - 1
SP - 9
EP - 26
LA - eng
KW - fractal; plane tiling; Pisot number; beta-expansions
UR - http://eudml.org/doc/23814
ER -
References
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- M. J. Bertin A. Decomps-Guilloux M. Grandet-Hugot M. Pathiaux-Delefosse J. P. Schreiber, Pisot and Salem Numbers, Birkhauser Verlag Basel-Boston-Berlin. (1992) (1992) MR1187044
- K. J. Falconer, Techniques in Fractal Geometry, John Wiley & Sons.(1997) (1997) Zbl0869.28003MR1449135
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- A. Messaoudi, Frontiere du fractal de Rauzy et systeme de numeration complexe, preprint. Zbl0968.28005MR1793161
- W. Parry, 10.1007/BF02020954, Acta Math. Acad. Sci. Hungar. 11 (1960) 269-278 (1960) Zbl0099.28103MR0142719DOI10.1007/BF02020954
- G. Rauzy, Nombres Algebriques et substitutions, Bull. Soc. France 110 (1982), 147-178. (1982) Zbl0522.10032MR0667748
- W. P. Thurston, Groups, Tilings and Finite state automata, Summer 1989 AMS Colloquium lectures, Research Report GCG 1. (1989)
Citations in EuDML Documents
top- Shigeki Akiyama, Jörg M. Thuswaldner, Topological properties of two-dimensional number systems
- Jörg M. Thuswaldner, Unimodular Pisot substitutions and their associated tiles
- Pierre Arnoux, Valérie Berthé, Arnaud Hilion, Anne Siegel, Fractal representation of the attractive lamination of an automorphism of the free group
- Guy Barat, Valérie Berthé, Pierre Liardet, Jörg Thuswaldner, Dynamical directions in numeration
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