title: Evaluation of 3D Printer Accuracy in Producing Fractal Structure.
abstract: Hierarchical structures, also known as fractal structures, exhibit advantageous material properties, such as water- and oil-repellency as well as other useful optical characteristics, owing to its self-similarity. Various methods have been developed for producing hierarchical geometrical structures. Recently, fractal structures have been manufactured using a 3D printing technique that involves computer-aided design data. In this study, we confirmed the accuracy of geometrical structures when Koch curve-like fractal structures with zero to three generations were printed using a 3D printer. The fractal dimension was analyzed using a box-counting method. This analysis indicated that the fractal dimension of the third generation hierarchical structure was approximately the same as that of the ideal Koch curve. These findings demonstrate that the design and production of fractal structures can be controlled using a 3D printer. Although the interior angle deviated from the ideal value, the side length could be precisely controlled.
authors.affiliation: Department of Biochemical Engineering, Graduate School of Science and Engineering, Yamagata University.
authors.forename: Kana
authors.initials: K
authors.lastname: Kikegawa
authors.forename: Kyuuichirou
authors.initials: K
authors.lastname: Takamatsu
authors.forename: Masaru
authors.initials: M
authors.lastname: Kawakami
authors.forename: Hidemitsu
authors.initials: H
authors.lastname: Furukawa
authors.forename: Hiroyuki
authors.initials: H
authors.lastname: Mayama
authors.forename: Yoshimune
authors.initials: Y
authors.lastname: Nonomura
mesh_terms: D017076:Computer-Aided Design; D000068598:Data Accuracy; D017709:Fractals; D066330:Printing, Three-Dimensional