2018
DOI: 10.1007/s00004-018-0394-8
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Fractal-Based Computational Modeling and Shape Transition of a Hyperbolic Paraboloid Shell Structure

Abstract: The concept of Takagi-Landsberg's fractal surface is applied in this paper for constructing a parametric model of a hyperbolic paraboloid (hypar) shell structure using the Midpoint Displacement Method (MDM) based on the Iterated Function System (IFS) and controlled by the relative size value (w), a factor of fractal dimension. This method of generating a parametric model of a hypar is applied to create a domain of non-integer dimensions through which the hypar surface passes through textural changes, thus tran… Show more

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Cited by 5 publications
(1 citation statement)
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“…Even in the same algorithm, generators can be varied to represent different forms. In other words, the generative principle of the fractal algorithm is a feedback algorithm in which certain figures are entered, and the results are calculated through a fractal equation, which is then replaced according to the results (Rian, 2018). Accordingly, fractal algorithms are used in science, engineering, and medicine to explore and model non-linear and complicated shapes, as well as in creative concepts of art (Rian and Asayama, 2016).…”
Section: Parametric Designmentioning
confidence: 99%
“…Even in the same algorithm, generators can be varied to represent different forms. In other words, the generative principle of the fractal algorithm is a feedback algorithm in which certain figures are entered, and the results are calculated through a fractal equation, which is then replaced according to the results (Rian, 2018). Accordingly, fractal algorithms are used in science, engineering, and medicine to explore and model non-linear and complicated shapes, as well as in creative concepts of art (Rian and Asayama, 2016).…”
Section: Parametric Designmentioning
confidence: 99%