In three dimensions, a sphere is likewise symmetrical under all rotations about its center.
在三维空间中，球同样是中心对称的。
The equation smoothes out the irregularities of an object, transforming it mathematically into something that looks like a uniform three-dimensional sphere.
这个方程能消除物体间的差异，并能把物件精确的变形为一个统一的三维球体。
His conjecture, made in 1904, was that in this four-dimensional world, all closed three-dimensional surfaces that are simply connected could be transformed to look like a three-dimensional sphere.
他在1904年就提出猜想：在四维空间，所有单连通的封闭三维面都能转化为一个三维球体。
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