Historically, Japanese traditional lampstand 'Andon', was manufactured from paper. And paper folding method was adopted into some Andon or western lampshade design. For example, Yoshimura/Diamond pattern, known as a structure of crashed cylinder, or a structure of building roof, that has been of beneficial use in commercial lampshade products. Yoshimura pattern structure includes a set of skew quadrilaterals which are not on a plane surface and each quadrilateral is constructed with 2 planar triangles. Development of Yoshimura pattern is constructed by one set of horizontal parallel lines at even intervals for valley fold and two sets of oblique parallel lines at even intervals for mountain fold. The author found that similar shape can be constructed from development which includes only mountain fold lines of Yoshimura pattern and this method has various applications. With proposed paper folding method, each skew quadrilateral is constructed by single curved surface. In this paper, the author first defined the principle of the proposed paper folding method, second, explained the. features of the shape made by the proposed method and the luminance distribution on the shape, third, indicated examples of applications of the proposed method. Finally, examples of application of the shape made by SQMF in the field of education are explained.