Geodesic
Geometry of Axisymmetric 3D Origami Consisting of Triangular Facets
Journal for geometry and graphics, Tome 21 (2017) no. 1, pp. 107-118 Cet article a éte moissonné depuis la source Heldermann Verlag

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We propose a novel design method for 3D origami consisting of triangular facets with an axisymmetric structure. Our method interactively designs a rotationally-symmetric crease pattern and then analytically calculates the 3D origami with real-time human interaction. The proposed method enables us to change one parameter to axisymmetrically deform the 3D origami while preserving its developability. By changing another parameter, our method leads to a way of folding a 3D origami called "along-arc flat-folding". By using our prototype system, we interactively explore various origami designs before actually making them. Several 3D origami pieces and folding sequences are presented to demonstrate the validity.
Classification : 51N20, 52B70
Mots-clés : Computational origami, axisymmetric, deployable structure, flat-foldable 
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     author = {Y. Zhao and Y. Kanamori and J. Mitani },
     title = {Geometry of {Axisymmetric} {3D} {Origami} {Consisting} of {Triangular} {Facets}},
     journal = {Journal for geometry and graphics},
     pages = {107--118},
     year = {2017},
     volume = {21},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2017_21_1_JGG_2017_21_1_a9/}
}
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Y. Zhao; Y. Kanamori; J. Mitani . Geometry of Axisymmetric 3D Origami Consisting of Triangular Facets. Journal for geometry and graphics, Tome 21 (2017) no. 1, pp. 107-118. http://geodesic.mathdoc.fr/item/JGG_2017_21_1_JGG_2017_21_1_a9/