Monday, May 13, 2013

Klein Bottle

What has no volume, no edge, and is one-sided? Well technically nothing. I'm not sure a Klein bottle is really a vessel since it can't contain anything except itself. Even the word bottle was originally a mis-understanding of another German word. It is kind of a mathematical joke so I am going to call it a spiritual vessel.

Klein bottles were first described in 1882 by Mathematician Felix Klein. He probably said, " Wow, that's cool a closed and non-orientable object." That means a Klein bottle has no edge, it is one-sided. His buddies said," Felix, quit joking around. Math is serious, what are you going to do with that, make hats?"

So no matter how hard you try in our three dimensional world you cannot make an actual object which has only one side. There are however many beautiful representations of Klein bottles. http://www.kleinbottle.com/whats_a_klein_bottle.htm

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