A Study of Triblock Origami Spheroid

• Main Authors: Feng-Tse Chuang, 莊豐澤
• Other Authors: Keh-Ming Lu
• Format: Others
• Language: zh-TW
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/56499654698337017976

碩士 === 亞洲大學 === 資訊工程學系碩士在職專班 === 97 === The paper folding building block's research is a succession of unceasing discovery and the creation process.The paper building block has random characteristics of the composition and disassemble.It has a combination of lot of changes.It is from two-dimensional grid of paper through the proper folding .And it is by two-dimensional into three-dimensional way of thinking.The paper building block also can be colored and even can be language or other pictorial book printed at the top.Its applications are diverse.It can be applied to different fields such as creations, thinking and games playing. It also can be applied in building design, space design, or even up for Nanotechnology. By giving a piece of regular triangle paper that is made of 16- isosceles right triangles and consists of 4 units on each side of the equilateral triangle by using the tessellation theorems to create different types of 3D tessellation models.It can create many species of Triblock origamic building blocks models.Its changes and quantity are a considerable number.In this research,it is only chosed to frustum of a tetrahedron basic modules to create spherical bodies and research. Origami spheroid is here defined as the symmetric assemblage of multiple copies of paper building blocks without holes. Four examples with the octahedral and dodecahedral wireframes of Platonic solids, Johnson Solids #17 wireframe, and the pentagonal antiprism wireframe symmetry are presented. These consist of multiple pieces of Triblock paper building blocks, with folding and adhesives. In this study, we will employ generalized Euler- Poincare formula to calculate the genus and predict the cavity number. By using generalized Euler-Poincare formula to prove the genus and the cavity number of these spheroids are 0 and 1. In the creation process, except creating 22 kinds of paper building block spherical non-manifold models, also in creates in the spheroidite pursues its characteristic, and discusses its characteristic possible application.