有谁知道“克莱因瓶”

楼上的放豌豆(英语的）
克莱因瓶确实是莫比乌斯带的三维实现，就是只有一个面，不分内外的瓶子
它在3三维世界不存在，就像莫比乌斯带在二维空间不存在。但要做一个类似的模型还是可以的，就是在一个瓶子上打两个洞，把瓶口从一个洞穿过，到另一个洞，把瓶壁与之结合起来就是了

Klein Bottle

A closed Nonorientable Surface of Genus one having no inside or outside. It can be physically realized only in 4-D (since it must pass through itself without the presence of a Hole). Its Topology is equivalent to a pair of Cross-Caps with coinciding boundaries. It can be cut in half along its length to make two Möbius Strips.

The above picture is an Immersion of the Klein bottle in (3-space). There is also another possible Immersion called the ``figure-8'' Immersion (Geometry Center).

The equation for the usual Immersion is given by the implicit equation (Stewart 1991). Nordstrand gives the parametric form

The ``figure-8'' form of the Klein bottle is obtained by rotating a figure eight about an axis while placing a twist in it, and is given by parametric eq