This short contribution presents a method for generating $N$-point spherical configurations with low mesh ratios. The method extends Caspar-Klug icosahedral point-grids to non-icosahedral nets through the use of planar barycentric coordinates, which are subsequently interpreted as spherical area coordinates for spherical point sets. The proposed procedure may be applied iteratively and is parameterised by a sequence of integer pairs. For well-chosen input parameters, the proposed method is able to generate point sets with mesh ratios that are lower than previously reported for $N<10^6$.

翻译：这一简短贡献提供了一种以低网状比率生成美元点球形配置的方法。该方法通过使用平面中枢坐标将卡斯帕-Klug 象萨赫德拉尔点格扩大到非单面网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状网状