The Method for Judging Rigid Foldability
2009; Informa; Linguagem: Inglês
10.1201/b10653-20
Tópico(s)Mathematics and Applications
ResumoTo formulate and understand a rigid foldable condition, we will compare it with the better-known concepts of flat foldability or, equivalently, the flat foldable condition. The issue of flat foldability deals with the question “when we can fold a paper flat along the lines of a given diagram, what properties should this diagram have?” or “can we judge whether the crease pattern can fold flat or not from a given diagram?” As two necessary flat foldable conditions, the Kawasaki theorem and the Maekawa theorem are well known. And, the research on flat foldability has expanded by many other people, such as J. Justin, H. Azuma, T. Hull, M. Bern, and B. Hayes [4-8]. Flat foldability deals with the final state of folding. On the other hand, rigid foldability deals with the existence (or not) of a continuous route between the first state and the final state.
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