I was trying to visualize how to construct a tesseract around a four-dimensional sphere when I drifted away to sleep.
当我渐渐睡着时，我还在想象在一个四维球体周围怎样构造一个超正方体。
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。
Using the Gauss-Bonnet theorem, Stephen Hawking proved that the topology of the event horizon of a (four dimensional) black hole is a 2-sphere.
使用高斯-博内定理， 史蒂芬· 霍金证明一个（四维）黑洞活动视界的拓扑结构是2个球体。
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