Mathematica 球坐标作图

今天拿起多天没做的作业开始算积分,然后遇到一道题我根本想不出图形长什么样

《微积分学导论下册》109页第4(9)题:

求由下列曲面所围成的立体体积
(x^2+y^2+z^2)=3xyz

最后在 Mathematica 里用球坐标绘图,第一卦限的情况(图形在1,3,6,8卦限,且对称):

最后转来转去看了一会,感觉像板栗

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