Journal for Geometry and Graphics 17 (2013), No. 1, 081--087
Copyright Heldermann Verlag 2013
Modular Pipe-Z System for Three-Dimensional Knots
Machi Zawidzki
Research Center for Advanced Science and Technology, University of Tokyo, Komaba 4-6-1, Meguro-ku, Tokyo 153-8904, Japan
zawidzki@gmail.com
Katsuhiro Nishinari
Research Center for Advanced Science and Technology, University of Tokyo, Komaba 4-6-1, Meguro-ku, Tokyo 153-8904, Japan
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.
Keywords: Pipe-Z, modular system, parametric design.
MSC: 51M04; 51N05
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