Tetsuo Ida
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A New Modeling of Classical Folds in Computational Origami Open
This paper shows a cut along a crease on an origami sheet makes simple\nmodeling of popular traditional basic folds such as a squash fold in\ncomputational origami. The cut operation can be applied to other classical\nfolds and significant…
Logical and Algebraic Views of a Knot Fold of a Regular Heptagon Open
Making a knot on a rectangular origami or more generally on a tape of a finite length gives rise to a regular polygon. We present an automated algebraic proof that making two knots leads to a regular heptagon. Knot fold is regarded as a do…
Origami folds in higher-dimension Open
We present a generalization of mathematical origami to higher dimensions. We briefly explain Huzita- Justin’s axiomatic treatment of mathematical origami. Then, for concreteness, we apply it to origami on 3-dimensional Euclidean space in w…