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看的我晕……
以前看杂志说这种瓶是不可能造出来滴
这玩意儿通常被当作是矛盾空间的实例，意思是画得出做不出，俺一直怀疑。不就是墨比乌斯环的立体化么？
人类一思考上帝就发笑，谁说的来着？？？
只要能制造出来的，就还属于3D 范围吧
@rockz: 我也记得看杂志里说过克莱因瓶是做不出来的。这种做出实体的克莱因瓶都在结构上做出了妥协，否则四维曲面是不可能在三维空间完整呈现的。
看图：http://en.wikipedia.org/wiki/Klein_bottle
哎呀，昨天刚在阅览室的趣味数学书上见过！就是一3d的梦比乌斯环嘛
如果就这图片来看，对于“分不出里外，也不能精确的以三维来描述”有些疑惑
的确做不出来，这个瓶子开了洞了。
迷糊ing,,,,
从上面的口里灌水会怎样？
三维空间是做不出“与自身不相交”的克莱因瓶的。图中那个，管子从瓶壁上穿过，这就是问题之所在，数学上称之为”singularity”。在高维情形下，可以做出与自身不相交的克莱因瓶。
理论上，拿一个莫比乌斯环，和一个圆盘，边对边地粘起来，就得到克莱因瓶了。当然，要没有自相交，还得在至少四维下做。
@QL:
这位同学拓扑学学的太好了
这是干吗用的？难道只就是所谓的一素？
@刘大铁:
应该灌不进去水吧，空气排不出来~
拓扑
既然造出来了，不如放点彩色的液体进去，看看怎么个导向北。
可以装水吗？Just curious
真神奇
他做一个跟一个套一个再套一个有什么区别么
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那个······瓶颈已经穿过了瓶身，克莱因先生脑海里想的可不是这样吧······
如果真的要做出来，那么应该不能与自身相交，除非······有虫洞出现的可能。
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