Geodesic
An Aesthetic Exploration of Relative Motions
Visual Mathematics, Tome 6 (2004) no. 2
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The purpose of this study is to explore new methods of creating forms. Relative motions seem to be a promising mechanism in this regard. Findings from earlier studies suggest that the trajectories of multiple-level relative motions can result in highly unpredictable complex shapes. Furthermore, these shapes may turn out to be visually appealing with proper colorization according to their frequencies of visits. Different kinds of motions, as well as various combinations of those motions, have been experimented in this study. When chaotic factors were introduced, the trajectories usually became dramatic and to certain extent peculiar. Any slight variation of the initial state might result in entire different outcome.
Classification : 00A66 
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     author = {Chun-Wang Sun and Guan-Ze Liao},
     title = {An {Aesthetic} {Exploration} of {Relative} {Motions}},
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Chun-Wang Sun; Guan-Ze Liao. An Aesthetic Exploration of Relative Motions. Visual Mathematics, Tome 6 (2004) no. 2. http://geodesic.mathdoc.fr/item/VM_2004_6_2_a0/