The General Design System of Deployable and Foldable Mechanisms based on Mathematics of Origami

• Project/Area Number: 22800009
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Media informatics/Database
• Research Institution: The University of Tokyo
• Principal Investigator: TACHI Tomohiro 東京大学, 大学院・総合文化研究科, 助教 (50586740)
• Project Period (FY): 2010 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥3,146,000 (Direct Cost: ¥2,420,000、Indirect Cost: ¥726,000); Fiscal Year 2011: ¥1,508,000 (Direct Cost: ¥1,160,000、Indirect Cost: ¥348,000); Fiscal Year 2010: ¥1,638,000 (Direct Cost: ¥1,260,000、Indirect Cost: ¥378,000)
• Keywords: 折紙工学 / コンピュテーショナルデザイン / 計算機科学 / 折り畳み / 可動構造 / 計算幾何学

Research Abstract

We constructed general systems for freely designing origami mechanisms through the theoretical study on rigid foldability, the development of the methods for physically encoding transformational behavior to 2D patterns, and the implementation of the design systems, thereby solved problems that potentially occur when applying origami to engineering purposes.

Research Products

• [Journal Article] Rigid-Foldable Thick Origami (2011)
  • Author(s): Tomohiro Tachi
  • Journal Title: Origami Volume: 1巻 Pages: 253-263
  • Peer Reviewed
• [Journal Article] Rigid-Foldable Thick Origami (2011)
  • Author(s): Tomohiro Tachi
  • Journal Title: Origami^5 Volume: 1 Pages: 253-263
  • Peer Reviewed
• [Journal Article] Freeform Variations of Origami (2010)
  • Author(s): Tomohiro Tachi
  • Journal Title: Journal of Geometry and Graphics Volume: 14(2)巻 Pages: 203-215
  • Peer Reviewed
• [Journal Article] Freeform Rigid-Foldable Structure using Bidirecitonally Flat-Foldable Planar Quadrilateral Mesh (2010)
  • Author(s): Tomohiro Tachi
  • Journal Title: Advances in Architectural Geometry 2010 Volume: 1巻 Pages: 87-102
  • Peer Reviewed
• [Journal Article] Freeform Variations of Origami (2010)
  • Author(s): Tomohiro Tachi
  • Journal Title: Journal for Geometry and Graphics Volume: 14(2) Pages: 203-215
  • Peer Reviewed
• [Journal Article] Freeform Rigid-Foldable Structure using Bidirectionally Flat-Foldable Planar Quadrilateral Mesh (2010)
  • Author(s): Tomohiro Tachi
  • Journal Title: Advances in Architectural Geometry 2010 Volume: 1 Pages: 87-102
  • Peer Reviewed
• [Presentation] 展開図からの剛体折り判定-渡邉予想の反例 (2011)
  • Author(s): 舘知宏
  • Organizer: 第11回折紙の科学・数学・教育研究集会(日本折紙学会)
  • Place of Presentation: 東京
  • Year and Date: 2011-12-04
• [Presentation] 展開図からの剛体折り判定-渡邉予想の反例 (2011)
  • Author(s): 舘知宏
  • Organizer: 第11回折紙の科学・数学・教育研究集会(日本折紙学会)
  • Place of Presentation: 東京都
  • Year and Date: 2011-12-04
• [Presentation] 曲線折りを用いた剛体折紙構造 (2011)
  • Author(s): 舘知宏
  • Organizer: 第10回折紙の科学・数学・教育研究集会(日本折紙学会)
  • Place of Presentation: 東京
  • Year and Date: 2011-07-03
• [Presentation] 曲線折りを用いた剛体折紙構造 (2011)
  • Author(s): 舘知宏
  • Organizer: 第10回折紙の科学・数学・教育研究集会(日本折紙学会)
  • Place of Presentation: 東京都
  • Year and Date: 2011-07-03
• [Presentation] Designing One-DOF Mechanisms for Architecture by Rationalizing Curved Folding (2011)
  • Author(s): Tomohiro Tachi and Gregory Epps
  • Organizer: ALGODE 2010
  • Place of Presentation: Tokyo, Japan
  • Year and Date: 2011-03-14
• [Presentation] Designing One-DOF Mechanisms for Architecture by Rationalizing Curved Folding (2011)
  • Author(s): Tomohiro Tachi, Gregory Epps
  • Organizer: ALGODE 2011 International Symposium on Algorithmic Design for Architecture and Urban Design
  • Place of Presentation: 建築会館・東京
  • Year and Date: 2011-03-14
• [Presentation] Concept of Foldable Structures Synthesized by Symmetry Operation (2011)
  • Author(s): Koryo Miura and Tomohiro Tachi
  • Place of Presentation: Teheran, Iran
• [Presentation] Cellular Origami Structure from Foldable Tubes (2011)
  • Author(s): Tomohiro Tachi and Kyoryo Miura
  • Organizer: 7th International Seminar of the Structural Morphology Group
  • Place of Presentation: London, UK
• [Presentation] One-DOF Rigid Foldable Structures from Space Curves (2011)
  • Author(s): Tomohiro Tachi
  • Organizer: IABSE-IASS Symposium 2011
  • Place of Presentation: London, UK
• [Presentation] 空間曲線に基づく剛体折紙構造の設計 (2011)
  • Author(s): 舘知宏
  • Organizer: 日本図学会2011年度秋季大会
  • Place of Presentation: 大阪
• [Presentation] Concept of Foldable Structures Synthesized by Symmetry Operation (2011)
  • Author(s): Koryo Miura, Tomohiro Tachi
  • Organizer: International Conference on Architecture and Struc
  • Place of Presentation: Tehran, Iran
• [Presentation] Cellular Origami Structure from Foldable Tubes (2011)
  • Author(s): Tomohiro Tachi, Koryo Miura
  • Organizer: nternational Seminar of the Structural Morphology
  • Place of Presentation: London, UK
• [Presentation] 空間曲線に基づく剛体折紙構造の設計 (2011)
  • Author(s): 舘知宏
  • Organizer: 日本図学会2011年度秋季大会
  • Place of Presentation: 大阪市立大学
• [Presentation] Geometric Considerations for the Design of Rigid Origami Structures (2010)
  • Author(s): Tomohiro Tachi
  • Organizer: IASS Symposium 2010
  • Place of Presentation: 上海,中国
  • Year and Date: 2010-11-12
• [Presentation] Geometric Considerations for the Design of Rigid Origami Structures (2010)
  • Author(s): Tomohiro Tachi
  • Organizer: IASS Symposium 2010
  • Place of Presentation: 上海・中国
  • Year and Date: 2010-11-12
• [Presentation] 二方向平坦折り可能な剛体折り四価頂点メッシュ構造 (2010)
  • Author(s): 舘知宏
  • Organizer: 日本応用数理学会2010年度年会
  • Place of Presentation: 東京
  • Year and Date: 2010-09-08
• [Presentation] Geoemtric Considerations for the Design of Rigid Origami Structures (2010)
  • Author(s): 舘知宏
  • Organizer: 日本応用数理学会2010年度年会
  • Place of Presentation: 明治大学・東京
  • Year and Date: 2010-09-08
• [Remarks]
  • URL: http://system.c.u-tokyo.ac.jp/common/professor/tachi.html
• [Remarks]
  • URL: http://system.c.u-tokyo.ac.jp/common/professor/tachi.html
• [Remarks]
  • URL: http://www.tsg.ne.jp/TT/