Remarks on 2-dimensional quasiperiodic tilings with rotational symmetries

Kazuhisa Kato; Kazushi Komatsu; Fumihiko Nakano; Kentaro Nomakuchi; Masatetsu Yamauchi

doi:10.32917/hmj/1233152776

Remarks on 2-dimensional quasiperiodic tilings with rotational symmetries

Kazuhisa Kato, Kazushi Komatsu, Fumihiko Nakano, Kentaro Nomakuchi, Masatetsu Yamauchi

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We construct a sequentially compact space of patches. By using this construction, we analyze certain symmetries of tilings obtained by substitution rules.

Original language	English
Pages (from-to)	385-395
Number of pages	11
Journal	Hiroshima Mathematical Journal
Volume	38
Issue number	3
DOIs	https://doi.org/10.32917/hmj/1233152776
Publication status	Published - 2008 Nov
Externally published	Yes

Keywords

Quasiperiodic tiling
Rotational symmetry
Substitution rule

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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10.32917/hmj/1233152776

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title = "Remarks on 2-dimensional quasiperiodic tilings with rotational symmetries",

abstract = "We construct a sequentially compact space of patches. By using this construction, we analyze certain symmetries of tilings obtained by substitution rules.",

keywords = "Quasiperiodic tiling, Rotational symmetry, Substitution rule",

author = "Kazuhisa Kato and Kazushi Komatsu and Fumihiko Nakano and Kentaro Nomakuchi and Masatetsu Yamauchi",

year = "2008",

month = nov,

doi = "10.32917/hmj/1233152776",

language = "English",

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pages = "385--395",

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T1 - Remarks on 2-dimensional quasiperiodic tilings with rotational symmetries

AU - Kato, Kazuhisa

AU - Komatsu, Kazushi

AU - Nakano, Fumihiko

AU - Nomakuchi, Kentaro

AU - Yamauchi, Masatetsu

PY - 2008/11

Y1 - 2008/11

N2 - We construct a sequentially compact space of patches. By using this construction, we analyze certain symmetries of tilings obtained by substitution rules.

AB - We construct a sequentially compact space of patches. By using this construction, we analyze certain symmetries of tilings obtained by substitution rules.

KW - Quasiperiodic tiling

KW - Rotational symmetry

KW - Substitution rule

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JO - Hiroshima Mathematical Journal

JF - Hiroshima Mathematical Journal

IS - 3

ER -

Remarks on 2-dimensional quasiperiodic tilings with rotational symmetries

Abstract

Keywords

ASJC Scopus subject areas

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