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本文从几何角度说明了以凸多面体为母体所形成的,由一定数量三角形平面围成的圆球形结构的构成方式和尺寸关系。文中表明了母体上一个三角形面离散成大小和形状最为接近的4~n或9~m或4~n×9~m个小三角形面的形成过程;展示了以任意三角形为基面,构成4个或9个小三角形后,图解每条边长的作图方法,导出了解析计算通式,从而为球形结构的设计、施工乃至构件生产提供了简明、精确、方便可行的构形和计算几何尺寸的理论依据及方法。
In this paper, the geometry and the relationship between the constitution and the size of a spherical spherical structure surrounded by a certain number of triangular planes are described. In this paper, the formation process of a 4~n or 9~m or 4~n¡Á9~m small triangular face with a triangular face that is closest to the size and shape of the parent is discretized; After one or nine small triangles, the method of plotting the length of each side is illustrated, and the analytical calculation formula is derived, thereby providing a concise, accurate, convenient and feasible configuration and calculation geometry for the design, construction and even production of the spherical structure. The theoretical basis and method of the size.