Geodesic
Dual Tiling Origami
Journal for geometry and graphics, Tome 22 (2018) no. 2, pp. 269-281 Cet article a éte moissonné depuis la source Heldermann Verlag

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This paper proposes a class of origami, dual tiling origami, which is an extension of Lang's "Octet Truss". Dual tiling origami lies between two parallel planes and tessellates both sides with polygonal tiles. The tiling patterns on both surfaces are dual, and the structure comprises cones of these tiling polygons on both sides with tetrahedra between them. Three conditions for the existence of dual tiling origami are shown. If the folded shape is flat, dual tiling origami can tessellate a family of parallelogram lattices. For the thick case, the relation between parameters of the parallelograms and the height between two planes is discussed. These dual tiling origami can converge to Miura-Ori under a certain condition.
Classification : 51M20, 53A05, 68U05
Mots-clés : Origami tessellation, tiling, core panel 
@article{JGG_2018_22_2_JGG_2018_22_2_a10,
     author = {A. Adachi and T. Tachi and Y. Yamaguchi },
     title = {Dual {Tiling} {Origami}},
     journal = {Journal for geometry and graphics},
     pages = {269--281},
     year = {2018},
     volume = {22},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2018_22_2_JGG_2018_22_2_a10/}
}
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A. Adachi; T. Tachi; Y. Yamaguchi . Dual Tiling Origami. Journal for geometry and graphics, Tome 22 (2018) no. 2, pp. 269-281. http://geodesic.mathdoc.fr/item/JGG_2018_22_2_JGG_2018_22_2_a10/