WPF 3D 球面导览

基于WPF的3D Sphere实现模式，升级实现了该3D导览Demo。先pose一张demo效果图

所有顶点的坐标来源于足球的顶点。足球整个球面完全由正五边形和正六边形拼成，每条拼缝的长度一致，故知道球体半径后即可设法求出60个顶点的坐标。

具体求法属于数学的立体几何范畴，反正求解时废了我蛮多精力的，完全是工匠精神支撑我求解完成，具体就不做详述了，可参考以下图：

来源：http://blog.sina.cn/dpool/blog/s/blog_49966d1d0100tc0d.html

得到所有定点坐标后，即可创建Viewport3D控件，并在坐标位置创建相应的ModelVisual3D对象。

我计算得到的60个点3维坐标：

private List<Point3D> GetBuckyBallPoints()
{
    List<Point3D> ltPoints = new List<Point3D>();
    ltPoints.Add(new Point3D(., , 2.327438));
    ltPoints.Add(new Point3D(., ., 2.327438));
    ltPoints.Add(new Point3D(-., ., 2.327438));
    ltPoints.Add(new Point3D(-., -., 2.327438));
    ltPoints.Add(new Point3D(., -., 2.327438));

    ltPoints.Add(new Point3D(1.701301, , 1.801708));
    ltPoints.Add(new Point3D(., 1.618035, 1.801708));
    ltPoints.Add(new Point3D(., -1.618035, 1.801708));
    ltPoints.Add(new Point3D(-1.376383, -., 1.801708));
    ltPoints.Add(new Point3D(-1.376383, ., 1.801708));

    ltPoints.Add(new Point3D(1.964166, ., 1.275977));
    ltPoints.Add(new Point3D(1.376381, 1.618035, 1.275977));
    ltPoints.Add(new Point3D(-., 2.118035, 1.275977));
    ltPoints.Add(new Point3D(-1.113517, 1.809017, 1.275977));
    ltPoints.Add(new Point3D(-2.064574, ., 1.275977));
    ltPoints.Add(new Point3D(-2.064574, -., 1.275977));
    ltPoints.Add(new Point3D(-1.113517, -1.809017, 1.275977));
    ltPoints.Add(new Point3D(-., -2.118035, 1.275977));
    ltPoints.Add(new Point3D(1.376381, -1.618035, 1.275977));
    ltPoints.Add(new Point3D(1.964166, -., 1.275977));

    ltPoints.Add(new Point3D(2.389492, ., .));
    ltPoints.Add(new Point3D(1.213921, 2.118035, .));
    ltPoints.Add(new Point3D(., 2.427051, .));
    ltPoints.Add(new Point3D(-1.639248, 1.809017, .));
    ltPoints.Add(new Point3D(-2.227033, ., .));
    ltPoints.Add(new Point3D(-2.227033, -., .));
    ltPoints.Add(new Point3D(-1.639248, -1.809017, .));
    ltPoints.Add(new Point3D(., -2.427051, .));
    ltPoints.Add(new Point3D(1.213921, -2.118035, .));
    ltPoints.Add(new Point3D(2.389492, -., .));

    ltPoints.Add(new Point3D(2.227033, ., -.));
    ltPoints.Add(new Point3D(1.639248, 1.809017, -.));
    ltPoints.Add(new Point3D(-., 2.427051, -.));
    ltPoints.Add(new Point3D(-1.213921, 2.118035, -.));
    ltPoints.Add(new Point3D(-2.389492, ., -.));
    ltPoints.Add(new Point3D(-2.389492, -., -.));
    ltPoints.Add(new Point3D(-1.213921, -2.118035, -.));
    ltPoints.Add(new Point3D(-., -2.427051, -.));
    ltPoints.Add(new Point3D(1.639248, -1.809017, -.));
    ltPoints.Add(new Point3D(2.227033, -., -.));

    ltPoints.Add(new Point3D(2.064574, ., -1.275977));
    ltPoints.Add(new Point3D(1.113517, 1.809017, -1.275977));
    ltPoints.Add(new Point3D(., 2.118035, -1.275977));
    ltPoints.Add(new Point3D(-1.376381, 1.618035, -1.275977));
    ltPoints.Add(new Point3D(-1.964166, ., -1.275977));
    ltPoints.Add(new Point3D(-1.964166, -., -1.275977));
    ltPoints.Add(new Point3D(-1.376381, -1.618035, -1.275977));
    ltPoints.Add(new Point3D(., -2.118035, -1.275977));
    ltPoints.Add(new Point3D(1.113517, -1.809017, -1.275977));
    ltPoints.Add(new Point3D(2.064574, -., -1.275977));

    ltPoints.Add(new Point3D(1.376383, ., -1.801708));
    ltPoints.Add(new Point3D(-., 1.618035, -1.801708));
    ltPoints.Add(new Point3D(-1.701301, , -1.801708));
    ltPoints.Add(new Point3D(-., -1.618035, -1.801708));
    ltPoints.Add(new Point3D(1.376383, -., -1.801708));

    ltPoints.Add(new Point3D(., ., -2.327438));
    ltPoints.Add(new Point3D(-., ., -2.327438));
    ltPoints.Add(new Point3D(-., , -2.327438));
    ltPoints.Add(new Point3D(-., -., -2.327438));
    ltPoints.Add(new Point3D(., -., -2.327438));

    return ltPoints;
}

实现的效果图

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工具：Visual Studio 2017

工程：WPF C#

源码下载：