A Klein bottle is a perfect gift for a mathematician, computer scientist, or troglodyte. In 1882, Felix Klein imagined sewing two Möbius Loops together to create a single sided bottle with no boundary. Its inside is its outside. It contains itself. Take a rectangle and join one pair of opposite sides -- you'll now have a cylinder. Now join the other pair of sides with a half-twist. That last step isn't possible in our universe, sad to say. A true Klein Bottle requires 4-dimensions because the surface has to pass through itself without a hole. It's closed and non-orientable, so a symbol on its surface can be slid around on it and reappear backwards at the same place.You can't do this trick on a sphere, doughnut, or pet ferret -- they're orientable. A true Klein Bottle lives in 4-dimensions. But every tiny patch of the Klein Bottle is 2-dimensional. In this sense, a Klein Bottle is a 2-dimensional manifold which can only exist in 4-dimensions!
Detailed Images
Related Products
Company Introduction
We are specialized in various glass science toys and crafts such as Klein bottle, drinking bird, hand boiler, Galileo thermometer, and so on.We are the supplier of many American shops and importers. We can make buyer's Logo and package, and we can aslo develop new design by buyer's design or drawings. Free samples are available from us for considerable buyer! Inner package: bulb wrap plastic paper + PE foam with gift box for each product; 24/50pc in a inner box, 48/100pcs in a master carton of high quality; or by customer's specified package Shipping: by sea or by air