• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

A potential three-dimensional structure of an inorganic quasicrystal

Research Project

Project/Area Number 23654135
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionSaitama Prefectural University

Principal Investigator

ISHIHARA Shozo  埼玉県立大学, 保健医療福祉学部, 教授 (10290727)

Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords準結晶 / 折り紙モデル / 無機化合物 / 準周期構造 / ペンローズパターン / 八面体のスケルトン / アキュート六面体 / 黄金八面体 / 3次元準周期構造
Research Abstract

It has been suggested that regular octahedral skeletons constructing an Origami-model of Penrose Pattern, abbr. PPO-model, would correspond to golden octahedra appearing in an acute parallelepiped, which is one of the two parallelepipeds, obtuse and acute ones, occurring in a three-dimensional Penrose Tiling. By making use of golden octahedral skeletons made of Origami, it has been revealed that golden octahedra in PPO-model exhibit a typical orientation.
A new portable PPO-model has been constructed by using a lot of octahedral skeletons, and the PPO-model has been used for presenting that a quasi-periodic structure can be exhibited by the PPO-model made of only octahedra, and orientations of face- and vertex-sharing golden octahedra has been pointed out concretely.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (18 results)

All 2014 2013 2012 2011 Other

All Journal Article (5 results) (of which Peer Reviewed: 3 results) Presentation (13 results)

  • [Journal Article] Science Origami, An Effective Teaching Aid on Science2014

    • Author(s)
      Ishihara, Shozo
    • Journal Title

      JPS Conference Proceedings

      Volume: Volume 1

    • DOI

      10.7566/jpscp.1.017024

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] An Origami-model of a Penrose Pattern, A Three-dimensional Quasi-periodic Structure of a Potential Inorganic Quasi-crystal , Arts and Science2013

    • Author(s)
      Ishihara, Shozo
    • Journal Title

      The Journal of the International Society for the Inter- disciplinary Study of Symmetry Science (ISIS-Symmetry)

      Pages: 158-161

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] An Origami-model of a Penrose Pattern: A Three-dimensional Quasi-periodic Structure made of Octahedral Skeletons2013

    • Author(s)
      Shozo Ishihara
    • Journal Title

      Symmetry: Art and Science

      Volume: 1-4 Pages: 158-161

    • Related Report
      2013 Annual Research Report
  • [Journal Article] The Architecture of Crystal represented by means of Origami, Japan's Traditional Handicraft of Paper-folding , Symmetry : Arts and Science2012

    • Author(s)
      Ishihara, Shozo
    • Journal Title

      The Journal of the International Society for the Interdisciplinary Study of Symmetry Science (ISIS-Symmetry)

      Pages: 56-59

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] The Architecture of Crystal Represented by means of Origami, Japan's Traditional Handicraft of Paper Folding2012

    • Author(s)
      Shozo Ishihara
    • Journal Title

      The Joournal of the International Society for the Interdisciplinary Study of Symmetry (ISIS-Symmetry)

      Volume: 1-2 Pages: 56-59

    • Related Report
      2012 Research-status Report
  • [Presentation] 黄金八面体のスケルトンで構成された準周期構造の折り紙モデル2014

    • Author(s)
      石原 正三
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学湘南キャンパス
    • Year and Date
      2014-03-30
    • Related Report
      2013 Final Research Report
  • [Presentation] 準周期構造の折り紙モデルに基づく金属準結晶構造の検討2013

    • Author(s)
      石原 正三
    • Organizer
      第76回形の科学シンポジウム
    • Place of Presentation
      青山学院大学
    • Year and Date
      2013-11-16
    • Related Report
      2013 Final Research Report
  • [Presentation] An Origami-model of a Penrose Pattern, A three- dimensional quasi-periodic structure of a potential inorganic quasi- crystal2013

    • Author(s)
      Ishihara, Shozo
    • Organizer
      Symmetry : Art and Science, 2013, Symmetry and Labyrinth, 9 th Interdisciplinary Symmetry Congress- Festival of ISIS-Symmetry
    • Place of Presentation
      Crete, Greece
    • Related Report
      2013 Final Research Report
  • [Presentation] Science Origami, An Effective Teaching Aide on Science2013

    • Author(s)
      Ishihara, Shozo
    • Organizer
      The 12th Asia Pacific Physics Con- ference
    • Place of Presentation
      Chiba, Japan
    • Related Report
      2013 Final Research Report
  • [Presentation] An Origami-model of a Penrose Pattern, A three-dimensional quasi-periodic structure of a potential inorganic quasi-crystal2013

    • Author(s)
      Shozo Ishihara
    • Organizer
      Symmetry: Art and Science, 2013, Symmetry and Labyrinth, 9th Interdisciplinary Symmetry Congress-Festival of ISIS-Symmetry
    • Place of Presentation
      ギリシャ・クレタ島
    • Related Report
      2013 Annual Research Report
  • [Presentation] ペンローズパターンの折り紙モデル2013

    • Author(s)
      石原 正三
    • Organizer
      京都大学数理解析研究所共同研究「タイル張り力学系とその周辺」
    • Place of Presentation
      京都:京都大学数理解析研究所
    • Related Report
      2013 Annual Research Report
  • [Presentation] The Architecture of Crystal represented by means of Origami, Japan's Traditional Handi- craft of Paper-folding2012

    • Author(s)
      Ishihara, Shozo
    • Organizer
      Symmetry : Art and Science, 2012, Folk Architecture- Vernacular Architecture with an outlook to Folk Music and Folk Dance Traditions and Rural Development, Congress-Festival of ISIS-Symmetry, Budapest-Veszprem-Szentendre
    • Place of Presentation
      Hungary
    • Related Report
      2013 Final Research Report
  • [Presentation] ペンローズパターンの折り紙モデルに基づく金属準結晶構造の検討2011

    • Author(s)
      石原 正三
    • Organizer
      第72回形の科学シンポジウム
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2011-12-08
    • Related Report
      2013 Final Research Report
  • [Presentation] 八面体のスケルトンで作る正十二面体の折り紙モデル2011

    • Author(s)
      石原 正三
    • Organizer
      第71回形の科学シンポジウム
    • Place of Presentation
      千葉大学
    • Year and Date
      2011-06-17
    • Related Report
      2013 Final Research Report
  • [Presentation] 八面体のスケルトンで作る正十二面体の折り紙モデル2011

    • Author(s)
      石原正三
    • Organizer
      形の科学会
    • Place of Presentation
      千葉大学
    • Related Report
      2011 Research-status Report
  • [Presentation] ペンローズパターンの折り紙モデルに基づく金属準結晶構造の検討2011

    • Author(s)
      石原正三
    • Organizer
      形の科学会
    • Place of Presentation
      鹿児島大学
    • Related Report
      2011 Research-status Report
  • [Presentation] 準周期構造の折り紙モデル‐八面体で構成された準周期構造モデル‐

    • Author(s)
      石原 正三
    • Organizer
      第76回 形の科学シンポジウム
    • Place of Presentation
      東京:青山学院大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 黄金八面体のスケルトンで構成される準周期構造の折り紙モデル

    • Author(s)
      石原 正三
    • Organizer
      第69回日本物理学会年会 30aCB6
    • Place of Presentation
      神奈川県:東海大学湘南キャンパス
    • Related Report
      2013 Annual Research Report

URL: 

Published: 2011-08-05   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi