Room 102, Bldg. C2, Katsura campus, Kyoto University
Title
Current challenges in structural morphology
Abstract
In 2010, Andrew Borgart identified the main challenges for the decade to come for the Structural Morphology Group of the International Association of Shell and Spatial Structures. He summed up these challenges in the form of three questions, left open for researchers and practitioners:
1) Do we need computational design tools, black boxes, or a greater understanding?
2) Do form‐finding and optimization result in a required result and constructable design?
3) Do complex geometry structures need new structural typologies?
Since then, the field of architectural geometry has been profoundly transformed by key theoretical contributions in mathematics and computer sciences. The landscape of manufacturing for the construction industry is also rapidly evolving with digital fabrication and 3D printing. However, the profusion of design tools is not synonym of success in planning of complex structures, and the three questions remain fully relevant.
The aim of this talk is to reflect back on the challenges for structural engineers and architects. The specific case of gridshell structures and glazed envelopes is studied in depth. Regarding design tools, we show interesting relationships between descriptive geometry, a drawing technique developed in the 1700's, and conjugate curve networks on surfaces. Regarding optimization, we propose a novel point of view on optimization for load‐bearing capacity, and CAD‐based optimization for gridshell structures. The lecture will be concluded by the presentation of pavilions built to demonstrate the feasibility of the optimization workflow in a practical context.
poster
8th Ito CREST ED3GE Seminar
Date
June 10th (Friday), 10:30 - 12:00
Speaker
Katrin Leschke (University of Leicester)
Venue
Kyushu University, Ito Campus, W1-C512
Title
Closing conditions for smooth and discrete curves and surfaces
Abstract
For geometric objects, whose compatibility equations form an integrable system,
one can find solutions by introducing a spectral parameter and solving a linear system.
I will use the examples of polarised curves and constant mean curvature surfaces to explain
how the associated family of flat connections can be used to construct new,
closed polarised curves and new closed constant mean curvature surfaces.
When discretising the associated family, we obtain corresponding results in the discrete case.
28th Ito CREST ED3GE IMI Regular Seminar
Date
February 3rd (Thursday), 10:30 - 12:00
Speaker
Yoshiki Jikumaru (Institute of Mathematics for Industry, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
Relative differential geometry and thrust network analysis for self-supporting structures (Japanese)
27th Ito CREST ED3GE IMI Regular Seminar
Date
January 27th (Thursday), 10:30 - 12:00
Speaker
Kento Okuda (Institute of Mathematics for Industry, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
クリスタライン曲率流における非凸自己相似解の例 (Japanese)
26th Ito CREST ED3GE IMI Regular Seminar
Date
January 20th (Thursday), 10:30 - 12:00
Speaker
Masashi Yasumoto (Institute of Mathematics for Industry, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
離散・半離散等温曲面について(3) (Japanese)
25th Ito CREST ED3GE IMI Regular Seminar
Date
January 13th (Thursday), 10:30 - 12:00
Speaker
Sebastian Graiff-Zurita (Graduate School of Mathematics, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
Discrete LAC, some comments and definitions
24th Ito CREST ED3GE IMI Regular Seminar
Date
December 2nd (Thursday), 10:00 - 12:00
Speaker
Yoshiki Jikumaru (Institute of Mathematics for Industry, Kyushu University)
Venue
Online (Zoom)
Title
On a discretization of hanging membranes by two-way nets (Japanese)
23rd Ito CREST ED3GE IMI Regular Seminar
Date
November 25th (Thursday), 10:30 - 12:00
Speaker
Kento Okuda (Institute of Mathematics for Industry, Kyushu University)
Venue
Online (Zoom)
Title
区分的に連続な曲線と曲面の幾何 (Japanese)
22nd Ito CREST ED3GE IMI Regular Seminar
Date
November 18th (Thursday), 10:30 - 12:00
Speaker
Masashi Yasumoto (Institute of Mathematics for Industry, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
離散・半離散等温曲面について(2) (Japanese)
21st Ito CREST ED3GE IMI Regular Seminar
Date
November 11th (Thursday), 10:30 - 12:00
Speaker
Sebastian Graiff-Zurita (Graduate School of Mathematics, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
Approximation by planar LAC
20th Ito CREST ED3GE IMI Regular Seminar
Date
November 4th (Thursday), 10:30 - 12:00
Speaker
Shota Shigetomi (Graduate School of Mathematics, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
カライドサイクルの明示公式について (Japanese)
19th Ito CREST ED3GE IMI Regular Seminar
Date
October 28th (Thursday), 10:30 - 12:00
Speaker
Yoshiki Jikumaru (Institute of Mathematics for Industry, Kyushu University)
Venue
Online (Zoom)
Title
吊り下げ曲線・曲面の釣り合い式と変分的特徴づけ (Japanese)
18th Ito CREST ED3GE IMI Regular Seminar
Date
October 21st (Thursday), 10:30 - 12:00
Speaker
Kento Okuda (Institute of Mathematics for Industry, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
折り目を許容した可展面の幾何学的特徴付けを目指して (Japanese)
17th Ito CREST ED3GE IMI Regular Seminar
Date
October 14th (Thursday), 10:30 - 12:00
Speaker
Masashi Yasumoto (Institute of Mathematics for Industry, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
離散・半離散等温曲面について (Japanese)
16th Ito CREST ED3GE IMI Regular Seminar
Date
September 1st (Wednesday), 10:00 - 12:00
Speaker
Sebastian Graiff-Zurita (Graduate School of Mathematics, Kyushu University)
Venue
C502 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
On the approximation by LAC, first results
15th Ito CREST ED3GE IMI Regular Seminar
Date
August 24th (Tuesday), 10:00 - 12:00
Speaker
Shota Shigetomi (Graduate School of Mathematics, Kyushu University)
Venue
C502 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Yoshiki Jikumaru (Institute of Mathematics for Industry, Kyushu University)
Venue
C502 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
On the generation of linear Weingarten surfaces with internal boundary, Part1: CMC surfaces.
13th Ito CREST ED3GE IMI Regular Seminar
Date
August 4th (Wednesday), 10:00 - 12:00
Speaker
Kento Okuda (Institute of Mathematics for Industry, Kyushu University)
Venue
C502 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
離散と連続をつなぐ基本的な幾何学理論の構築(IV) (Japanese)
12th Ito CREST ED3GE IMI Regular Seminar
Date
July 28th (Wednesday), 10:00 - 12:00
Speaker
Sebastian Graiff-Zurita (Graduate School of Mathematics, Kyushu University)
Venue
C502 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
On the approximation by LAC, first examples
11th Ito CREST ED3GE IMI Regular Seminar
Date
July 21st (Wednesday), 10:00 - 12:00
Speaker
Shota Shigetomi (Graduate School of Mathematics, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
Explicit formula of Kaleidocycles (Part 1: Bilinear equations) (Japanese)
10th Ito CREST ED3GE IMI Regular Seminar
Date
July 14th (Wednesday), 10:00 - 12:00
Speaker
Yoshiki Jikumaru (Institute of Mathematics for Industry, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
On the variational formulation of hanging membranes (Japanese)
7th Ito CREST ED3GE Seminar
Date
July 12th (Monday), 13:00 - 14:00
Speaker
Nozomu Matsuura (Kurume Institute of Technology)
Venue
Online (Zoom Webinar)
Title
Explicit formula for discrete Kirchhoff elastic rods
Abstract
The Kirchhoff elastic rod is a mathematical model of thin elastic rods, and its shape is known to be described by Jacobi's elliptic functions.
In this talk, we show that the discrete Kirchhoff elastic rod defined by Bobenko and Suris in 1999 can be explicitly constructed by elliptic theta functions.
This is a joint work with Satoshi Kawakubo (University of Hyogo).
9th Ito CREST ED3GE IMI Regular Seminar
Date
July 7th (Wednesday), 10:00 - 12:00
Speaker
Kento Okuda (Institute of Mathematics for Industry, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
離散と連続をつなぐ基本的な幾何学理論の構築(III)（鞍点を持つ多面体） (Japanese)
8th Ito CREST ED3GE IMI Regular Seminar
Date
June 30th (Wednesday), 11:00 - 12:00
Speaker
Sebastian Graiff-Zurita (Graduate School of Mathematics, Kyushu University)
Venue
C503 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
Algorithmic reconstruction of LAC
7th Ito CREST ED3GE IMI Regular Seminar
Date
June 23rd (Wednesday), 10:00 - 12:00
Speaker
Shota Shigetomi (Graduate School of Mathematics, Kyushu University)
Venue
C502 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
半離散サイン・ゴルドン方程式の周期解の構成
2nd Kyoto CREST ED3GE Lecture
Date
June 22nd (Tuesday) 15:00 - 17:00
Speaker
Tomohiro Tachi (The University of Tokyo)
Venue
Online
Title
Surfaces formed by Origami
Abstract
A sheet of paper under compression buckles into a pattern of creases and exhibits virtual shrink.
Such virtual shrink can realize an arbitrary surface using origami.
I will talk about the surface formed by origami that connects art, math, science, and engineering.
6th Ito CREST ED3GE IMI Regular Seminar
Date
June 10th (Thursday), 10:00 - 12:00
Speaker
Yoshiki Jikumaru (Institute of Mathematics for Industry, Kyushu University)
Venue
C502 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
膜曲面としての極小曲面のCombescure変換 (Japanese)
5th Ito CREST ED3GE IMI Regular Seminar
Date
June 2nd (Wednesday), 10:00 - 12:00
Speaker
Kento Okuda (Institute of Mathematics for Industry, Kyushu University)
Venue
C502 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
離散と連続をつなぐ基本的な幾何学理論の構築(II)（立方体を例として） (Japanese)
4th Ito CREST ED3GE IMI Regular Seminar
Date
May 25th (Tuesday), 10:00 - 12:00
Speaker
Sebastian Graiff-Zurita (Graduate School of Mathematics, Kyushu University)
Venue
C512 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
On the quest for space LAC, quick review of the planar case
3rd Ito CREST ED3GE IMI Regular Seminar
Date
May 19th (Wednesday), 10:00 - 12:00
Speaker
Shota Shigetomi (Graduate School of Mathematics, Kyushu University)
Venue
C502 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
捩率一定曲線の明示公式とその離散化 (Japanese)
2nd Ito CREST ED3GE IMI Regular Seminar
Date
May 13th (Thursday), 10:00 - 12:00
Speaker
Yoshiki Jikumaru (Institute of Mathematics for Industry, Kyushu University)
Venue
C502 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
Title
膜O曲面論と吊り下げ曲面について (Japanese)
1st Ito CREST ED3GE IMI Regular Seminar
Date
April 28th (Wednesday), 10:00 - 12:00
Speaker
Kento Okuda (Institute of Mathematics for Industry, Kyushu University)
Venue
C502 Seminar room, 5F C block, West No.1 Building, Kyushu University Ito Campus
We connect smooth isoperimetric flows of discrete planar curves with
(discrete) Darboux transformations of smooth planar curves,
by switching the roles of the discrete and smooth parameters involved.
In doing so, we define Darboux flows that include isoperimetric flows,
and also give an alternate geometric interpretation for establishing the discrete potential mKdV equation.
1st Kyoto CREST ED3GE Lecture
Date
July 15th (Wednesday) 15:00 - 17:00
Venue
Online (Zoom)
Speaker
Masaaki Miki (The University of Tokyo)
Title
Interaction between discrete and smooth versions of Graphic Statics
Abstract
Recent years have observed a revival of Graphic Statics in structural mechanics.
While its discrete version that can be used for trusses and grid shells is mainly discussed,
its smooth version does exist at the same time.
This lecture will go through the relation of discrete and smooth versions of Graphic Statics.
1st Kyoto CREST ED3GE Seminar (postponed)
This seminar has been postponed to October, 2020.
The detailed information will be announced here.
Date
April 22th (Wednesday) 15:00 - 17:00
Venue
C2-102 Lecture room, Kyoto University Katsura Campus
Speaker
Seonho Cho (Seoul National University)
Title
Isogeometric optimal design of structures
Abstract
TBA
Speaker
Takuya Terahara (Waseda University)
Title
Space?time computational methods for high-fidelity heart valve flow analysis with leaflet contact
Abstract
TBA
4th Ito CREST ED3GE Seminar (postponed)
This seminar has been postponed because of COVID-19.
Date
March 25th (Wednesday) 14:30 - 15:30
Venue
C716 Seminar room, 7F C block, West No.1 Building, Kyushu University Ito Campus
Speaker
Yuika Kajihara (Graduate School of Informatics, Kyoto University)
Title
Variational proof of the existence of six types of periodic orbits in the planar circular three-body problem
Abstract
Though the n-body problem is non-integrable except for n=2,
Chenciner and Montgomery showed the existence of the periodic orbit
named figure-eight in the three-body problem with a variational approach in 2000.
Their work has led to many results in this field.
In this talk, we introduce famous results in the n-body problem
and show the existence of six types of periodic orbits in the planar circular restricted three-body problem.
Moreover, we spend the rest of time discussing open problems.
3rd Ito CREST ED3GE Seminar (cancelled)
This seminar has been cancelled because of COVID-19.
Date
March 12th (Thursday) 15:30 - 17:00
Venue
C716 Seminar room, 7F C block, West No.1 Building, Kyushu University Ito Campus
Speaker
James McCoy (The University of Newcastle, Australia)
Title
High order curvature flows of plane curves with generalised Neumann boundary conditions
Abstract
We consider the parabolic polyharmonic diffusion and $L^2$-gradient flows of the $m$-th arclength
derivative of curvature for regular closed curves evolving with generalised
Neumann boundary conditions. In the polyharmonic case, we prove that if the curvature of
the initial curve is small in $L^2$, then the evolving curve converges exponentially in the $C^\infty$
topology to a straight horizontal line segment. The same behaviour is shown for the $L^2$-gradient
flows provided the energy of the initial curve is sufficiently small. In each case the
smallness conditions depend only on $m$. This is joint work with Glen Wheeler and Yuhan Wu.
2nd Ito CREST ED3GE Seminar
Date
January 30th (Thursday) 13:00 - 15:00
Venue
C716 Seminar room, 7F C block, West No.1 Building, Kyushu University Ito Campus
Speaker
Nozomu Matsuura (Kurume Institute of Technology)
Title
Explicit formula for planar discrete elasticae
Abstract
It is well known that an elastic curve is defined as a critical point of elastic energy and its curvature is given by elliptic functions.
Furthermore, the position vector of an elastic curve can also be written in terms of elliptic functions, as Mumford (1994) demonstrated,
for example. This is called the explicit formula for elastic curves.
On the other hand, Bobenko and Suris (1999) proposed an integrable discrete model of elastic curves.
In this talk, I will derive an explicit formula for discrete elastic curves in the Euclidean plane.
1st Ito CREST ED3GE Seminar
Date
October 31st (Thursday) 13:00 - 14:00
Venue
IMI Conference Room, 4F D block, West No.1 Building, Kyushu University Ito Campus
Speaker
Nozomu Matsuura (Kurume Institute of Technology)
Title
Discrete Curvatures of Discrete Surfaces
Abstract
Various definitions of discrete curvature for discrete surfaces have been proposed so far.
In this talk, we introduce the discrete Gaussian curvature and the discrete mean curvature based on
the Steiner’s formula from the standpoint of the discrete differential geometry. This talk is
based on the paper by Tim Hoffmann et al (DOI:10.1093/imrn/rnw015).
1. Spherical Kaleidocycles on 3-sphere（Park Hyeongki (Kyushu University), Jakub Rondomanski (Free University of Berlin),
Kenji Kajiwara (IMI, Kyushu University), Polthier Konrad (Free University of Berlin)）
2. 剛体折紙の折線パターンの最適化と近似曲面形状生成法（早川健太郎（京都大学），大崎純（京都大学））
3. 曲線折りを有する仮設建造物の提案 -剛体変位による形状決定法と剛性評価-（有村崇（鹿児島大学大学院理工学研究科工学専攻建築プログラム修士1年））
4. 平面弾性曲線の等周変形の楕円テータ関数による明示公式の構成（重富尚太（九州大学大学院数理学府），梶原健司（九州大学マス・フォア・インダストリ研究所））
2019 JST CREST Research Area [Mathematical Information Platform] Project Kickoff
International Conference “Evolving Design and Discrete Differential Geometry ? towards Mathematics Aided Geometric Design”
Date
March 6 (Fri.) - March 8 (Sun.), 2020 [Postponement]
Venue
Room 01, Department of Architecture and Architectural Engineering No.2
Building, Korimoto Campus, Kagoshima University
1-21-24 Korimoto, Kagoshima 890-8580, Japan
Abstract
March 6th
AIMaP Session “Fusion of Discrete Differential Geometry and Finite Element Method: Applications to Architecture and CG”
March 7th
AIMaP Session “Fusion of Discrete Differential Geometry and Finite Element Method: Applications to Architecture and CG”
CREST ED3GE Session
JST CREST ED3GE (Principal Investigator: Kenji Kajiwara (Institute of Mathematics for Industry, Kyushu University))
Co-Sponsors
Graduate Program of Mathematics for Innovation，Osaka City University Advanced Mathematical Institute
IMI Workshop "Shell and membrane theory from the viewpoint of differential geometry and its application to architectural surface design"
Date
February 18th - March 20th, 2021
Venue
Zoom
Recording
Day1: February 18th, 2021
Speaker: Yoshiki Jikumaru (Institute of Mathematics for Industry, Kyushu University)
Title: Integrable geometry for shell membrane theory 1: Basic surface theory and shell equilibrium equations (Japanese)
You can watch the seminar recording from here
Day2: February 27th, 2021
Speaker: Yoshiki Jikumaru (Institute of Mathematics for Industry, Kyushu University)
Title: Integrable geometry for shell membrane theory 2: membrane equilibrium equations and Rogers-Schief theory (Japanese)
You can watch the seminar recording from here
Day3: March 6th, 2021
Speaker: Yohei Yokosuka (Graduate School of Science and Engineering, Kagoshima University)
Title: A nonlinear finite element method in embedded coordinates : membrane elements (Japanese)
You can watch the seminar recording from here
Day5: March 20th, 2021
Speaker: Kentaro Hayakawa (Department of Architecture and Architectura Engineering, Kyoto University)
Title: Summary & Discussion: Potential applications of shell and membrane theory from the viewpoint of differential geometry to architectural surface design (Japanese)
You can watch the seminar recording from here
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