Form of Geometrical Patterns that Assume an Ellipse

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  • 楕円をモチーフとした幾何学模様の生成
  • ダエン オ モチーフ ト シタ キカガク モヨウ ノ セイセイ

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An ellipse, which is a type of conic sections, is a representative quadratic curve. In this report, an ellipse changed to the cubic curve is utilized as the motif to form of geometrical patterns and a periodic function is applied. A general-purpose ellipse with parameter t can be defined as x=f(t), y=g(t), z=h(t). The purpose of this report is to provide a basic methodology, which can be utilized in domains such as art and design, for using mathematics to generate and mould geometrical patterns with a general-purpose ellipse in three dimensions.

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