Math Geekery
I've been giggling at the copy at ACME Klein Bottles for about 10 minutes now. Be sure to check out the Klein Stein, a drinking mug for the thirsty topologist. The IMPORTANT INFORMATION FOR IDIOTS section warns of the risks that dihydrogen monoxide's coefficient of expansion (negatively corrolated to temperature) poses to the delamination of intermolecular silicate bonds.
I arrived there from Bathsheba Grossman's[1] Klein Bottle Opener, with also delightfully geeky copy:
What is the central problem of beer? That it is contained in a bottle, which is to say a boundaryless compact 2-manifold homeomorphic to the sphere. Since beer bottles are not (usually) pathological or "wild" spheres, but rather smooth manifolds, they separate all of 3-space into two unconnected regions, viz. the region inside the bottle, containing beer, and the region outside the bottle, containing you.
What is to be done? Clearly, the elegant solution is to introduce a non-orientable manifold without distinct sides; indeed with only a single side. The Klein bottle pictured is an example of this class. When brought into proximity with the closed manifold described above, it acts at once to disrupt the closure of the bottle, obviating the outdated, dualistic paradigm of distinction between interior and exterior, thus enabling interaction between the beer and the self.
In summary, we have here a Klein bottle that opens beers. If I do say so, this is fine art.
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[1] I have two of her mini sculptures. They are 3D printed[2] and very cool indeed.
[2] You, too, can get your own 3D models 3D printed.
I arrived there from Bathsheba Grossman's[1] Klein Bottle Opener, with also delightfully geeky copy:
What is the central problem of beer? That it is contained in a bottle, which is to say a boundaryless compact 2-manifold homeomorphic to the sphere. Since beer bottles are not (usually) pathological or "wild" spheres, but rather smooth manifolds, they separate all of 3-space into two unconnected regions, viz. the region inside the bottle, containing beer, and the region outside the bottle, containing you.
What is to be done? Clearly, the elegant solution is to introduce a non-orientable manifold without distinct sides; indeed with only a single side. The Klein bottle pictured is an example of this class. When brought into proximity with the closed manifold described above, it acts at once to disrupt the closure of the bottle, obviating the outdated, dualistic paradigm of distinction between interior and exterior, thus enabling interaction between the beer and the self.
In summary, we have here a Klein bottle that opens beers. If I do say so, this is fine art.
--
[1] I have two of her mini sculptures. They are 3D printed[2] and very cool indeed.
[2] You, too, can get your own 3D models 3D printed.