To understand the poincare conjecture, start by thinking of any object existing in a three-dimensional world.
要理解庞加莱猜想，当始于对三维世界存在的一切物体的认识。
Given that we live in a world with three spatial dimensions, the poincare conjecture tells us ultimately what shape our universe could be.
给出我们生活的这个世界的三维空间，庞加莱猜想能够告诉我们我们的宇宙的形状。
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。
应用推荐