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Designing Spatial Structures with Self-folding Mechanism

Research Project

Project/Area Number 16H06106
Research Category

Grant-in-Aid for Young Scientists (A)

Allocation TypeSingle-year Grants
Research Field Building structures/Materials
Research InstitutionThe University of Tokyo

Principal Investigator

Tachi Tomohiro  東京大学, 大学院総合文化研究科, 准教授 (50586740)

Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥19,760,000 (Direct Cost: ¥15,200,000、Indirect Cost: ¥4,560,000)
Fiscal Year 2019: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2018: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2016: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Keywords折紙工学 / 自己折り / 展開構造 / 空間構造 / セル材料 / 折紙メタマテリアル / origami / deployable structure / cellular material / 折紙 / プログラマブルマター / 分岐 / 展開図 / 自己組み立て / 建築構造・材料 / 機構学 / 建築構造 / 計算幾何
Outline of Final Research Achievements

This research aims to develop a manufacturing scheme of lightweight functional spatial structures through self-folding. Self-folding is a manufacturing process where a sheet material with embedded patterns of creases folds into 3D shape through self-organized folding deformation; this process substitutes the assembly of multiple pieces in the 3D state.
In this study, we established the theory of self-folding for the first time and derived a method to control the folding motion. Furthermore, through the processes of geometric study, design system implementation and prototyping, we obtained structural systems that folds from a single shape to multiple target shapes, novel spatial structures that switch between multiple states, temporary buildings produced by patterning on a plane.

Academic Significance and Societal Importance of the Research Achievements

これまで、自己折りの実験例はあったが、なぜ自己折りできるのか、あるいは失敗するのかの裏付けはなく、試行錯誤に頼るほかなかった。本研究は初めて自己折りの理論を確立し制御可能とするための道を開拓した。得られた新規折紙構造は、折り畳んだ状態で製造し短時間で展開・リユース可能な仮設建築物の実現、複数の形状に再プログラム可能な構造物やロボット開発、特殊な弾性特性をもつ新規の材料開発につながる展望がある。

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • Research Products

    (45 results)

All 2019 2018 2017 2016 Other

All Int'l Joint Research (14 results) Journal Article (6 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 6 results,  Acknowledgement Compliant: 1 results) Presentation (22 results) (of which Int'l Joint Research: 16 results,  Invited: 7 results) Remarks (1 results) Funded Workshop (2 results)

  • [Int'l Joint Research] Adobe/MIT/UC Berkeley(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] University of Innsbruck(オーストリア)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] University of Stuttgart(ドイツ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] University of Stuttgart(ドイツ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Innsbruck/TU Vienna(オーストリア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] MIT/University of California, Berkeley/Pratt Institute(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Bologna(イタリア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] マサチューセッツ工科大学/ウェスタンニューイングランド大学/ジョージア工科大学(米国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] インスブルック大学/ウィーン工科大学(オーストリア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] シュトゥットガルト大学(ドイツ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] University of Innsbruck(オーストリア)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Massachusetts Institute of Technology/Western New England University/NASA(米国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] University of Stuttgart(ドイツ)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] University of Waterloo(カナダ)

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Self-foldability of monohedral quadrilateral origami tessellations2018

    • Author(s)
      Thomas C. Hull and Tomohiro Tachi
    • Journal Title

      Origami7: Proceedings of the 7th International Meeting on Origami Science, Mathematics, and Education,

      Volume: 2 Pages: 521-532

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Conic Crease Patterns with Reflecting Rule Lines2018

    • Author(s)
      Erik D. Demaine, Martin L. Demaine, David A. Huffman, Duks Koschitz, and Tomohiro Tachi
    • Journal Title

      Origami7: Proceedings of the 7th International Meeting on Origami Science, Mathematics, and Education,

      Volume: 2 Pages: 573-590

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Edge Extrusion Approach to Generate the Extruded Miura-Ori and Double Tiling Patterns2018

    • Author(s)
      Kai Suto, Akito Adachi, Tomohiro Tachi and Yasushi Yamaguchi
    • Journal Title

      Origami^7: Proceedings of the 7th International Meeting on Origami Science, Mathematics, and Education

      Volume: 2 Pages: 435-450

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Designing Self-Blocking Systems With Non-Flat-Foldable Degree-4 vertices2018

    • Author(s)
      Riccardo Foschi, and Tomohiro Tachi
    • Journal Title

      Origami7: Proceedings of the 7th International Meeting on Origami Science, Mathematics, and Education

      Volume: 3 Pages: 795-810

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Dual Tiling Origami2018

    • Author(s)
      Akito Adachi, Tomohiro Tachi and Yasushi Yamaguchi
    • Journal Title

      Journal for Geometry and Graphics

      Volume: 22 Pages: 269-281

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Self-foldability of Rigid Origami2017

    • Author(s)
      Tomohiro Tachi and Thomas C. Hull
    • Journal Title

      Journal of Mechanisms and Robotics

      Volume: 9 Issue: 2 Pages: 9-9

    • DOI

      10.1115/1.4035558

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] Geodesic Folding of Tetrahedron2019

    • Author(s)
      Seri Nishimoto, Takashi Horiyama, Tomohiro Tachi
    • Organizer
      Symmetry 2019: Art and Science -11th Congress and Exhibition
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Designing Folding Motion of Origami Using Quadrilateral Boundary Modules2019

    • Author(s)
      Yuki Miyajima, Charles Hoberman, Tomohiro Tachi
    • Organizer
      Symmetry 2019: Art and Science -11th Congress and Exhibition
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ジオデシック四面体2019

    • Author(s)
      西本清里 堀山貴史 舘知宏
    • Organizer
      第26回折り紙の科学・数学・教育 研究集会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 四辺形分割を用いた動く立体の構成手法2019

    • Author(s)
      宮嶌祐生、舘知宏
    • Organizer
      第26回折り紙の科学・数学・教育 研究集会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Minimal Ununfoldable Polyhedron2019

    • Author(s)
      Hugo A. Akitaya,Erik D. Demaine, David Eppstein, Tomohiro Tachi and Ryuhei Uehara
    • Organizer
      JCDCGGG 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Bi-layer Thick Rigid Origami Vault2019

    • Author(s)
      Tomohiro Tachi,Kensuke Ando,Mizuki Shigematsu, Toshiyuki Morishima
    • Organizer
      IASS 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Lightweight Rigidly Foldable Canopy Using Composite Materials2019

    • Author(s)
      Kensuke ANDO, Bunji IZUMI, Mizuki SHIGEMATSU, Hiroki TAMAI, Jun MATSUO, Yuki MIZUTA, Takeshi MIYATA, Jiro SADANOBU, Kai SUTO, Tomohiro TACHI
    • Organizer
      IASS 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 一定厚のパネルで構成される二方向平坦折り可能な剛体折紙2019

    • Author(s)
      下田悠太、舘知宏、佐藤淳
    • Organizer
      第27回折り紙の科学・数学・教育 研究集会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 複層の樹脂サンドイッチパネルによる剛体折紙アーチ2019

    • Author(s)
      舘知宏、安藤顕祐、重松瑞樹、森島敏之
    • Organizer
      第27回折り紙の科学・数学・教育 研究集会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 安藤顕祐、出水文二、重松瑞樹、玉井宏樹、松尾淳、水田悠生、宮田武志、定延治朗、須藤海、舘知宏2019

    • Author(s)
      複合材を用いた軽量折紙展開構造物
    • Organizer
      第27回折り紙の科学・数学・教育 研究集会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Geometric Problems in Structural Origami2018

    • Author(s)
      Tomohiro Tachi
    • Organizer
      The 7th International Meeting on Origami in Science, Mathematics and Education (7OSME)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Structural Morphology in Origami2018

    • Author(s)
      Tomohiro Tachi
    • Organizer
      Keynote Speech, Symposium of the International Association for Shell and Spatial Structures 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 1-DOF Structure Folding into Multiple Polyhedra2018

    • Author(s)
      Tomohiro Tachi and Takashi Horiyama
    • Organizer
      the 7th International Meeting on Origami Science, Mathematics, and Education
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Thick Rigid Origami with Parallel Double Creases2018

    • Author(s)
      omohiro Tachi and Thomas Hull
    • Organizer
      the 7th International Meeting on Origami Science, Mathematics, and Education
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Double-line rigid origami2017

    • Author(s)
      Thomas C. Hull and Tomohiro Tachi
    • Organizer
      Asian Forum on Graphic Sicence (AFGS) 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Origami Engineering2017

    • Author(s)
      Tomohiro Tachi
    • Organizer
      The International Bionics Summerschool B_CON2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Growth Form and Self-organisation 4: Form in art, toys and games2017

    • Author(s)
      Tomohiro Tachi
    • Organizer
      Computational Origami Design
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 構造折紙とコンピュテーショナル・デザイン2017

    • Author(s)
      舘知宏
    • Organizer
      第12回 コロキウム構造形態の解析と創生 2017
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Zero-Area Reciprocal Diagram of Origami2016

    • Author(s)
      Erik Demaine, Martin Demaine, David Huffman, Thomas Hull, Duks Koschitz, Tomohiro Tachi
    • Organizer
      IASS 2016 Annual International Symposium
    • Place of Presentation
      東京大学(東京都・文京区)
    • Year and Date
      2016-09-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Computational Design of Rigid Origami2016

    • Author(s)
      Tomohiro Tachi
    • Organizer
      he 19th Japan Conference on Discrete and Computational Geometry, Graphs, and Games (JCDCG3 2016)
    • Place of Presentation
      東京理科大学(東京都・新宿区)
    • Year and Date
      2016-09-02
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Self-foldability of Rigid Origami2016

    • Author(s)
      Tomohiro Tachi and Thomas C. Hull
    • Organizer
      ASME IDETC/CIE 2016 Symposium of Origami-Based Engineering Design
    • Place of Presentation
      Charlotte (USA)
    • Year and Date
      2016-08-21
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Designing Rigidly Foldable Origami Structures2016

    • Author(s)
      Tomohiro Tachi
    • Organizer
      ASME IDETC/CIE 2016 Symposium of Origami-Based Engineering Design
    • Place of Presentation
      Charlotte (USA)
    • Year and Date
      2016-08-21
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Remarks] Origami Lab

    • URL

      http://origami.c.u-tokyo.ac.jp/

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] Tokyo-Berkeley Symposium / Workshop "Forms in Nature and Art"2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] Structural Origami 20182018

    • Related Report
      2017 Annual Research Report

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Published: 2016-04-21   Modified: 2022-01-28  

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