| Project/Area Number |
20540119
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kochi University |
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Principal Investigator |
KOMATSU Kazushi Kochi University, 教育研究部・自然科学系, 准教授 (00253336)
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| Co-Investigator(Kenkyū-buntansha) |
AKIYAMA Shigeki 新潟大学, 自然科学系, 准教授 (60212445)
GOTO Satoru 国際医療福祉大学, 薬学部, 准教授 (50253232)
KATO Kazuhisa 高知大学, 教育研究部自然科学系, 教授 (20036578)
NOMAKUCHI Kentaro 高知大学, 教育研究部自然科学系, 教授 (60124806)
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| Co-Investigator(Renkei-kenkyūsha) |
NAKANO Fumihiko 学習院大学, 理学部, 教授 (10291246)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 準周期タイリング / 数理モデル / 配置空間 / 非周期 / タイリング / 非周期性 / 準結晶 / 環状拡大 / 自己相似性 / 力学系 / substitution rul / substitution rule / 準周期性 / フラクタル / フックス群 |
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| Research Abstract |
We study details of local configurations around vertices of non-periodic tilings. We can construct an uncountable family of non-periodic tilings with 7-fold rotational symmetry which have just three kinds of local configurations around vertices in Archimedean tilings. These non-periodic tilings have singular local configurations around vertices. The Danzer tiling with 7-fold rotational symmetry has a singular local configurations around vertices. This implies that the Danzer tiling with 7-fold rotational symmetry cannot be obtained as a limit of sequence of canonical tilings.
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