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To further advance your topological explorations, get a Klein Bottle cut right down the middle. You can then trace the built-in Möbius loop with your fingertip or crayon. Look at the top photo -- you can see the edge of the glass forms a nice Möbius loop. In this all-too-asymetrical universe, Acme's technicians strive to preserve parity. By slicing an Acme Klein Bottle, they generate one left handed Möbius loop and a matching right-handed one. Unlike matter/antimatter couplets, these can be placed next to each other without fear of total annihilation. Indeed, they fit so well that you could glue 'em together to recreate the original.
Our Baby Klein Bottle sliced in two. a computer generated image by Thomas Banchoff
& Davide Cervone. Click
here for an animation We leave the edge semi-rough, like emery paper or the surface of Ramanujan's chalkboard. Acme's Slicer-meister can cleave baby or medium classical Klein bottles. The big classical Klein Bottle does not fit into my diamond saw. Two matched halves from a Baby Klein Bottle will set you back $100. Both halves from a medium Klein Bottle will set Acme forward $125. Prices slightly higher north of the Arctic circle.
After you order, click to see your order. When you're done, Click here to check out.
It takes an afternoon to cut one of these (well, cutting the glass might take ten minutes, but setting up the diamond saw and getting the bottle just right takes a couple hours). I try to keep a few sliced bottles in stock, but check with me before asking for rush service. |
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