Journal for Geometry and Graphics 20 (2016), No. 2, 263--271
Copyright Heldermann Verlag 2016
Modified Yoshimura Pattern for Lighting Environment Education
Graduate School of Engineering, Kobe University, 1-1 Rokkodai-cho, Nada, Kobe 657-8501, Japan
Yoshimura pattern is one of the most typical paper folding methods in the field of lampshade design. A Yoshimura pattern is a set of skew quadrilaterals, and each is composed from two planar triangles. Lampshades manufactured with Yoshimura pattern have a nonuniform luminance distribution overall, however, the luminance distribution within a skew quadrilateral unit is discontinuous at the border between the two planar triangles in the unit. The author found that similar shapes can be constructed as a modified Yoshimura pattern by the SQED method. Furthermore, he also found derivative shapes which can be covered by skew quadrilaterals. Finally, the author explains how examples of such shapes are useful in lighting environment education.
Keywords: Paper folding, skew quadrilateral, lampshade, luminance distribution, lighting environment education, Descriptive Geometry education.
MSC: 51N05; 97G80, 00A66
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