Geodesic
Modular Pipe-Z System for Three-Dimensional Knots
Journal for geometry and graphics, Tome 17 (2013) no. 1, pp. 81-87 Cet article a éte moissonné depuis la source Heldermann Verlag

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This paper presents a modular Pipe-Z parametric design system which comprised of a single module allows the creation of complex three-dimensional single-branch structures, for example mathematical knots. The Pipe-Z module is introduced and its parametrization explained. An algorithm for the automated creation of any PZ structure by aligning the modules along a given spatial curve is introduced and the results for a trefoil, a figure-eight knot and a pentafoil are presented.
Classification : 51M04, 51N05
Mots-clés : Pipe-Z, modular system, parametric design 
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     author = {M. Zawidzki and K. Nishinari },
     title = {Modular {Pipe-Z} {System} for {Three-Dimensional} {Knots}},
     journal = {Journal for geometry and graphics},
     pages = {81--87},
     year = {2013},
     volume = {17},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2013_17_1_JGG_2013_17_1_a6/}
}
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M. Zawidzki; K. Nishinari . Modular Pipe-Z System for Three-Dimensional Knots. Journal for geometry and graphics, Tome 17 (2013) no. 1, pp. 81-87. http://geodesic.mathdoc.fr/item/JGG_2013_17_1_JGG_2013_17_1_a6/