Origami8, Volume III
Description
These four volumes of proceedings contain 126 papers contributed to the 8 th International Meeting on Origami Science, Mathematics and Education (8OSME), held on 16-18 July 2024 at Swinburne University of Technology in Melbourne, Australia. The papers represent current work in different disciplines of origami and they are grouped into four subject themes, Volume 1 - Engineering I , Volume 2 - Engineering II, Volume 3 - Mathematics, Computation, History and Mental Health, and Volume 4 - Design and Education.
We witness increasing interests in origami from researchers, practitioners and artists. Of a special note is the rapidly growing research in origami engineering, a distinctive field with fundamental concepts and applications related to space, mechanical, material, medical and structural engineering etc.
Participants of 8OSME should find great passion and opportunity of collaborations across disciplines of origami. We hope these four volumes will inspire not just currently active researchers and artists, but also the next generation of origami scientists, mathematicians, engineers, designers, historians, and teachers.
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Persons
Michael Assis is a mathematical physicist and origami artist. He received his PhD from Stony Brook University in the area of statistical mechanics, with applications in combinatorics and computational mathematics. He has exhibited his original origami models in conferences in several countries, and actively contributes to research in origami mathematics. He is currently based at the University of Melbourne, working in medical research in the area of paediatric oncofertility.
Guoxing Lu is a Qiushi Chair Professor in the Department of Engineering Mechanics, Zhejiang University, China. Prior to that, he was a University Distinguished Professor and Founding Director of the Impact Engineering Laboratory, Swinburne University of Technology, Australia. He held academic positions at Nanyang Technological University, Singapore. In 1989, he obtained his PhD in Structural Mechanics from the University of Cambridge.
Zhong You is a professor of Engineering Science at the University of Oxford. His research encompasses the fields of folding and origami structures, with a particular focus on the development of a systematic approach to the creation of large deployable assemblies. He served as the chairperson for 7OSME, which was held in Oxford in 2018. He obtained his PhD in structural engineering from the University of Cambridge.
Content
chapter 1 :Analysis of Huffman's Hexagonal Column with Cusps.- chapter 2 :A Characterization of the Overlap-free Polyhedra.- chapter 3 :Continuous flattening of quadrangular prisms with all edges rigid except one.- chapter 4 :Rigid-Ruling Folding Compatibility of Planar Creases.- chapter 5 :Continuous flattening of the surface of regular star-polyhedra.- chapter 6 :Yet another axiomatisation of 1-fold-origami.- chapter 7 :Notes on the development of the axiomatization of 1-fold-origami.- chapter 8 :On Beloch's curve that appears when solving real cubics with origami.- chapter 9 :22.5-degree References via Continued Fractions.- chapter 10 :A survey of rep-cube.- chapter 11 :Star unfolding, source unfolding, and the farthest point mapping on the 4-cube.- chapter 12 :Preliminary research on the bending behavior of curved origami in shape determination.- chapter 13 :Computing Flat-Folded States.- chapter 14 :An origami Universal Turing machine design.- chapter 15 :A Layering Algorithm for Flat Modular Origami.- chapter 16 :Folding a Strip of Paper into Shapes with Specified Thickness.- chapter 17 :Kinegami: Open-source Software for Creating Kinematic Chains from Tubular Origami.- chapter 18 :Equilateral triangle map folding.- chapter 19 :Valid Boundary Orders in Principal Diagonal Grid Patterns via Simple Folds.- chapter 20:An Algebraic Approach to Layer Ordering Constraints for Origami Flat-Foldability.- chapter 21 :An Origami Simulator for Papers with Nonzero Thickness and Its Application to Support Folding Nonelementary Origami Works.- chapter 22 :An Efficient Enumeration of Flat-Foldings : Study on Random Single Vertex Origami.- chapter 23:Efficient enumeration of rectangles in origami design.- chapter 24 :Shape Modeling of Developable Surfaces with a Curve Crease by Extending the Handle Curve Approach.- chapter 25:Optimal Simple Fold-and-Cut of a Polygonal Line.- chapter 26:Algorithmic transitions between parallel pleats.- chapter 27:Pseudohistories of the origin of origami in Japan and Europe.- chapter 28:Early curved crease paper folding.- chapter 29:"Origami" as a Universal Term: Akira Yoshizawa's Perspective.- chapter 30:On the reinvention of the Beloch-fold in the 1980s.- chapter 31:OrigamEase: a health oriented, emotion-centred origami-based PSS concept aimed to help users manage and reduce their stress.