Poster / origami exhibition

Abstract
Research Field / Mathematics
Poster title

Authors / Name

Affiliation

1

Global existence and asymptotic behavior in twospecies chemotaxis systems

Masaaki Mizukami

Tokyo University ofScience2

Fitting the Real World Tessellation by the Spherical
Supanut Chaidee,
Laugerre Voronoi Diagram Using Planar
Kokichi Sugihara
Photographic Images

Meiji University,
MIMS

3Error estimates for nonlinear diffusion equations andthe approximate problems

Shunsuke KurimaTokyo University ofScience

4

Identification of factors as predictors of insider threatin e-learning model

Koichi Niihara,Kikuchi Hiroaki

Meiji University,
MIMS

5Competitor-mediated coexistence: One of theecological mechanisms behind biodiversity

Lorenzo Contento
Masayasu Mimura

6

Audio-CAPTCHA with Distinction between Random
Phoneme Sequences and Words Spoken by Multispeaker

Michitomo Yamaguchi
Hiroaki Kikuchi

7

Asymmetric simple exclusion process with Langmuir
kinetics with reflecting boundary

Jun Sato
Katsuhiro Nishinari

University of Tokyo,
RCAST

8

Local-Scale Noise Effects in Chaotic Models andExperimental Data

Nina Sviridova,
Kazuyuki Nakamura

Meiji University,
MIMS

9Accumulation of eigenvalues in a stability problem

Ayuki Sekisaka

Meiji University,MIMS

Tsuyoshi Yoshioka
Tomoyuki Yamamoto

Teikyo Heisei
UniversityWaseda
UnivUniversity

10 A Topological Study of Biological Motion

Meiji University,MIMS

Meiji University,MIMS

Research Field / Origami, Technology, Mechanics, Architecture
Poster title / Origami exhibition title

Authors / Name

Affiliation

11

Mathematical model of flat origami's arts

Kosuke Nosaka

Kyoto University of Education

12The optimization of gripper design inOrigami-performing robot

Phuong Thao Thai
Maria Savchenko
Ichiro Hagiwara

Meiji University, MIMS

13Impact characteristic of compact origami
helmetYang Yang
Chie Nara
Ichiro Hagiwara

Meiji University, MIMS

14

The simplest and smallest locally-flatfoldable but not-flat-foldable crease
patterns in the square/diagonal grid

Yoshihisa Matsukawa
Yohei Yamamoto
Jun Mitani

University of Tsukuba
GIKEN, LTD
University of Tsukuba

15

Nonlinear Mechanics of Non-rigid
Origami: A Simplified Approach

Ke LiuGlaucio H. Paulino

Georgia Institute of Technology

16

Takashi Horiyama
Jin-ichi ItohContinuous Flattening of Regular
Naoki Katoh
Dodecahedron and Regular Icosahedron
Yuki Kobayashi
Chie NaraSaitama University
Kumamoto University
Kwansei Gakuin University
Tokyo Institute of Technology
Meiji University, MIMS

17

A generation method of origami modelfor CG

Shinichi Tanaka

University of Tsukuba

18

Design and Manufacture of Honeycomb
Construction Based on Origami
TechnologyLijun Wang
Kazuya Saito
You Gotou
Yoji Okabe

University of Tokyo
University of Tokyo
Shiroyama Industrial Co., Ltd
University of Tokyo

19

Simulation of Triangle-based
Axisymmetric Rigid Origami

Yan Zhao
Yoshihiro Kanamori
Jun Mitani

University of Tsukuba

20Comparison of Neural Networks inFeedback-Error Learning Control forPaper Folding Robots

Julian A. Romero
L.A. Diago
Chie Nara
Junichi Shinoda
Ichiro Hagiwara

Meiji University, MIMS
Interlocus. Inc.
Meiji University, MIMS
Interlocus. Inc.
Meiji University, MIMS

21

Origami-Based Modeling and Analysis

Hikari Tachino

Chiba University

Poster title / Origami exhibition

Authors / Name

Affiliation

Out of the awards

Some observations of regular polygons inHaruo Hosoya
origami paper.

Ochanomizu University

Japan Origami Academic Society

Jun Maekawa

National Astronomical Observatoryof Japan

Modeling by the infinite foldTomoko Fuse

Origami Artist, IndependentOrigami loop strip for the regulartetrahedronYukiMurakami
RyotaYamamoto
YoshikazuYamagishi

Ryukoku University

1

PosterIn this work, we consider two-species chemotaxis systems which
describe a situation in which two populations react on a single
chemoattractant. We will report global existence and asymptotic stabilityof classical solutions to the systems under some condition.

2

PosterWe propose a method for fitting the spherical Laguerre Voronoi
diagrams to spherical tessellations which are acquired from planar
photographic images. The framework is applied using the properties of apolyhedron corresponding to the spherical Laguerre Voronoi diagram.
The experiments were performed using fruit skin photos.

3

PosterThis work is concerned with nonlinear diffusion equations such as
porous media equations and their approximations via Cahn-Hilliardsystems. Colli and Fukao (2016) studied similar problems by
subdifferential approach; however, they required two steps ofapproximations. The purpose of this work is to solve the original andapproximate equations directly by subdifferential approach and toestablish sharp error estimates for their solutions.

4

PosterThere have been recent incidents in which large amounts of personal
information have been leaked by malicious insiders. Organizations are
now required to prepare countermeasures to deal with insider threats. Toidentify the primary causes of malicious insider behavior, an experiment
was conducted using a pseudo e-learning website. A total of 100
subjects were recruited by crowd-sourcing and divided into four groups
with different hypothesized causes of insider threat. The number ofmalicious activities in each group was observed. The results show acorrelation between the hypothesized causes of insider threat andmalicious activities.

5PosterIn theoretical ecology, the competitive exclusion principle (CEP) statesthat when two or more species are competing for the same limited
resource only one can eventually survive. However, in nature many
examples of rich biodiversity are observed. Several mechanisms that canlead to species coexistence are known, but most of them occur insituations where the CEP is not applicable. We are interested in studying
how the indirect competition dynamics between three species can leadto coexistence (competitor-mediated coexistence), without any apparent
contradiction with the CEP. We investigate mathematically thismechanism by a three-species competition-diffusion system displaying
complex patterns of dynamical coexistence.

6

Poster"Audio-CAPTCHA prevents malicious bots from attacking Web
services and provides Web accessibility for visually-impaired persons.In
this paper, we utilize the difficulty for recognizing voices spoken bymulti-person as a CAPTCHA.Our proposal synthesizes various voices
by changing voice speed and employing non-native speakers. Moreover,
we employ semantic identification problems between random phoneme
sequences and semantic words to improve the accuracy of humans,
usability and security.We evaluated our scheme in several experiments."

7

Poster"We consider the asymmetric simple exclusion process with Langmuir
kinetics with reflecting boundary. We analytically obtain the exact
stationary state of the system in a certain limit. The exact density profilein the stationary state is also obtained in this limit. "8PosterNoise contamination in experimental data with underlying chaotic
dynamics is one of the significant problems encountered in appliedstudies. Although numerous studies have been devoted to theinvestigation of different aspects of noise – nonlinear dynamics
interactions, the effects produced by noise on chaotic dynamics are notfully understood. This study sought to analyze the local effects produced
by noise on chaotic models and experimental green light
photoplethysmogram time series. Results demonstrated that in chaotic
models under noise induction and in experimental data local regions on
the chaotic attractor and time-delayed-reconstructed trajectory withhigher response to additive noise can be observed.

9PosterTraveling waves or nonlinear waves important object in many
applications in physics, engineering and in other areas of science. these
are affected by noise externally or internal fluctuations. Therefore thestability problem is fundamental for the observation of phenomena innature. One of the methods for the stability of traveling wave is to study
the linearized operator associated with traveling waves. In this poster,
we show interesting phenomena which eigenvalues of such operator
accumulate on the certain curve on the complex plane when the domain
size tends to infinity.

10

Poster

The phenomenon, that the human brain recognizes to be the movementof the animal by expressing the positions such as the joints of the animal
with a point and chasing movement (motion) of the point, is calledbiological motion. In the current study, the reason why the phenomenon
is caused is verified by set-theoretical topology. A topological structureof biological motion has been confirmed to be perfect, 0-dim, compact
T1 space.

11

Poster"“What is origami in mathematics?”- I considered the mathematicalrepresentation of flat origamis to solve the problem. As a result, I
concluded that flat origami's arts are represented by the conbination of""operation"" and ""partial order"". Concretely, the operation represents
a method of folding and the partial order represents staking order offolded paper. Therefore, the method and staking order are important for
representaiton of flat origamis.In this poster, I define the model clearlyand show you how to fold a ""paper crane"" in accordance with thedefinition."12Poster

Gripping is a key task for robotic arms. The crease line length informing process by the robot arms can be limited by the gripper sizes.
Based on this, we consider an optimization of the geometry of the plane
contact portion of gripper for forming the crease line with a given length.
Required forces are applied to the object surface via a contact portion ofthe gripper.

13

Poster

The helmets play an important role in protecting the head of people when earthquake or tumble happens. The existing safety helmet has some disadvantages: expensive, take up space, and inconvenient to carry. Therefore, considering the foldable/deployable and impact characteristics of origami structures and the cheapness of recycled cardboard, it is an interesting challenge to design of a new folding helmet to satisfy the performances of safety, storability, light-weight, and low-price.

14Poster

The crease patterns of well-known basic origami shapes are within the45 degrees grid system, i.e., the square/diagonal grid. We found two thesimplest and smallest locally-flat-foldable but non-flat-foldable crease
patterns in the grid. One has valid mountain/valley assignments, and theother does not. In this poster, we present how we concluded the twopatterns are the simplest and smallest. This poster also shows origami
shapes that are looked like letters, i.e. alphabet and numbers, that are
created by folding the 5x3 gird patterns.

15

PosterIn reality, due to the flexibility of thin sheets, additional soft modes oforigami might influence its mechanical properties. To investigate suchchanges, a general approach for analyzing the nonlinear mechanicalresponses of non-rigid origami structures is essential. We introduce herea fully nonlinear, displacement-based implicit formulation for
static/quasi-static analyses of origami structures based on a bar-andhinge simplified modeling. The formulation leads to an efficient androbust numerical implementation for predicting large global
deformations of origami structures. Agreement between real models andnumerical simulations hints the ability of the proposed approach in
capturing key features of origami behaviors.

16Poster

The second and the fifth author discussed with the forth author thecontinuous flattening of all Platonic polyhedra; however, a problem wasencountered in the case of the dodecahedron and the icosahedron. To
complete the study, we explicitly show a continuous folding of a regular
dodecahedron and a regular icosahedron.

17Poster

It is not easy to create geometrical models like origami, which consist ofthin sheets overlapping in layers. Therefore, it takes much time andeffort to make realistic CG of origami. In this research, we propose anew method for generating geometrical models of reversely symmetricalorigami. We develop an interface for 3D modeling of origami from 2D
images . Our approach makes it easier to create geometrical models oforigami for CG.

18

Poster / origami exhibition

Nowadays honeycomb constructions are widely used in many different
engineering fields especially in the transport industry and aerospace
field where weight reduction and strength maintenance are two of themost significant design parameters. Multifarious honeycomb cores canbe designed based on the space geometry. In this study, the hexagonal
honeycomb cores (core angles 120 ) were designed and developedby according to the traditional origami technology, and the aluminumhoneycomb construction were manufactured by a new process.

19Poster / origami exhibition

We focus on a category of origami that is constructed with triangle facets
with axisymmetric structure. Our method generates a rotationally-symmetriccrease pattern and then calculates the shape of 3D origami. Our prototype
system enables us to simulate the deformation of the 3D origami
axisymmetrically by changing one parameter. By changing anotherparameter, our system simulates a folding motion called “along-arc flatfolding,” to flatten the shape along the arc. Several 3D origami pieces andfolding sequences are presented to demonstrate the validity.
・Results of 3D origami

・Deformation of the 3D origami axisymmetrically・Along-arc flat folding

20Poster / origami exhibition"Creating complex spatial objects from a flat sheet of material usingorigami-folding techniques has attracted attention in science andengineering. It is extremely difficult to introduce highly versatile
automation using machines to handle deformable objects such as a flat
sheet of paper. This work proposes a new machine for origami foldingthat uses Feedback error learning (FEL) to perform precise and smoothmanipulations of the paper.In this project a comparison between
different types of Artificial Neural Networks (NN) is performed in orderto analyze their performances in trajectory planning for paper-folding
robots. Three NN are compared: An Adaptive Linear Network, anAdaptive Linear Network with Adaptive learning rate, and a
Holographic Neural Network.The main objective is to analyze each of
their performance in a Origami Robot device designed in our previous
project in order to be used to performed smooth and precisely
movements necessary in paper manipulation."21origami exhibition

Kururin-round and round
Based on Curved-Crease Sculpture
by Erik D.Demaine

Kururin-round and round
Based on Curved-Crease Sculpture
by Erik D.Demaine

Kururin-round and round
Based on Curved-Crease Sculpture
by Erik D.Demaine

Cutout Origami Crane(Pattern of crease pattern)A/

Out of the poster awards

Poster

The standard size of origami paper is 15cm x 15cm, for which many
simple but heuristic drawing methods were found for cutting or folding
regular polygons. These observations will be useful for teachingmathematics and origami to high school students. Practical origamists
may also get interested in these problems.

B/

Out of the poster awards

PosterIntroduction of the activities of the Japan Origami Academic Society.

Out of the poster awards

Origami exhibition

1. Introduction
Folding a sheet of paper sometimes results in unintentional discovery of an interesting shape,
sometimes in finding a rhythm of folds. Modeling by folding paper is more constrained thanother genres of art. That is the reason why the found shapes are usually geometrical.
As examples of such findings, the author reports some works with the infinite fold, wherefolding patterns can be repeated endlessly: two-dimensional tessellation pieces and threedimensional accordion-like works.

2. Two-dimensional works
Most of origami pieces involve sequences of bisection. The most common technique isdividing into smaller parts (figure 1). In tessellation, the basic fold is the square twist (figure 2).

Figure 1.

Figure 2.

3. Three-dimensional works
Bisection is also the major technique in three-dimensional models. The author presents six
types of pieces with their variations that can be closed flat (figure 3) (figure 4).

Figure 3.

Figure 4.

4. Conclusion
The infinite fold has various types, both two- and three-dimensional. Its pieces have shapesthat emerge from the rules of origami, not that represent known shapes or nature. The mostimportant thing is that a complete world can be perceived in the actual folding process.

Reference [1] Shuzo Fujimoto, Ajisai-ori, Seibundo Shinkosha, December 2010.

Origami exhibition

Out of the poster awards

Origami loop strip for the regular tetrahedron
Yuki Murakami, Ryota Yamamoto, Yoshikazu Yamagishi (Ryukoku University)
ICMMA Origami-based Modeling and Analysis, Meiji University, November 9-12, 2016

Fig. 1 An origami expansion of the loop strip
for the regular tetrahedron with the index 1/2

Let M be a regular tetrahedron. There arecountably many closed geodesics on M , each ofwhich does not intersect itself. Geodesics on polyhedra are studied in [1, 3, 4]. From the viewpointof origami, we are interested in the complementof the geodesic in M .
√Let u = (1, 0), v = (1/2, 3/2). The lattice Zu + Zv is the set of vertices of a regulartiling of the plane, consisting of equilateral triangles. Davis el al. [2] remarked that for eachrational number p/q with p, q relatively prime,
the line segment connecting the origin with thepoint pv +qu represents a geodesic  on M having
two vertices as its endpoints.
M has four vertices. The remaining two vertices can be connected by another geodesic  parallel to . If we cut M along  and  , we obtain
an untwisted loop strip. Conversely, for each rational number p/q, there exists a loop strip withan origami pattern that makes M .
Figs. 1, 2 show the loop strip corresponding to
the rational number 1/2. Fig. 3 corresponds to
1/3. As p, q get larger, the strip becomes longand thin.

References[1] A. Cotton, D. Freeman, A. Gnepp, T. Ng,
J. Spivak, and C. Yoder, The isoperimetricproblem on some singular surfaces, J. Aust.
Math. Soc. 78 (2005), no.2, 167-197.
[2] D. Davis, V. Dods, C. Traub, J. Yang,
Geodesic trajectories on regular polyhedra,

Fig. 2 Left: The loop strip with the index
1/2. Right: The folded strip is a regular tetrahedron.

Fig. 3 Left: The loop strip with the index
1/3. Right: The folded strip is a regular tetrahedron.

arXiv:1508.0354, (2015).
[3] Dmitry Fuchs and Ekaterina Fuchs, Closed
geodesics on regular polyherda, Moscow
Mathematical Journal, vol 7, no.2, (AprilJune 2007), 265-279.
[4] Dmitry Fuchs, and Serge Tabachnikov,
Mathematical omnibus: thirty lectures onclassic mathematics, Providence, RI: American Mathematical Society (2007). (D. フックス, S. タバチニコフ 著, 蟹江幸博 訳, 本
格数学練習帳 3, ヒルベルトの忘れられた問題,
第 20 講 曲率と多面体, 岩波, 2013.)