Tetsuo Ida: An e-origami construction of a big wing crane (23.09.2024)
Sprache des Titels:
Englisch
Original Kurzfassung:
In our previous paper, we introduced a new technique of cut-and-glue of a shared face edge to e-origami. We observed that an origami artwork is a complex arrangement of bounded two-sided flat planes, or faces, intricately connected and superposed by repeated folds of a single sheet of (possibly virtual) paper. This collection of faces culminates in a geometric object representing a remarkable shape. Our research demonstrates that cutting an edge shared by two faces unveils a class of classical folds. By gluing the faces divided by the cut, we restore the connection of the separated faces. This cut-and-glue technique opens up vast possibilities, enabling the discovery of new folds previously deemed impossible by Huzita-Justin folds [2, 3], which, when applied to practical constructions, have certain limitations that our approach overcomes. The inside reverse fold, one of the most familiar classical folds, is not included in the Huzita-Justin folds. When we apply the cut-and-glue technique, we can realize the inside reverse fold by combining Huzita-Justin folds. We demonstrate the practical application of our method by constructing a big wing crane, a well-versed sophisticated origami artwork [4] that demands a deep research investigation for its analysis. [for the bibliography and a picture see the attached pdf-file] PS1: Professor Tetsuo Ida is one of the pioneers of Symbolic Computation in Japan. With his SCORE Group at the University of Tsukuba, he made significant contributions to the field of symbolic computation and its international development, in particular also contributions to the Journal of Symbolic Computation and the international conferences on symbolic computation and related subjects, notably the SYNASC series and the SCSS series. Through his research, he turned the traditional Japanese origami art into an interesting symbolic computation application that showcases fundamental ideas in automated reasoning.
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