Nested Klein Bottles
Since it’s Labor Day tomorrow I’ll be staying out of the studio and trying to enjoy what’s supposed to be a beautiful day here in San Francisco. So, on a completely unrelated note I thought I’d post these nested Klein Bottles because I’ve had the pictures laying on my desktop for months and never found a good reason use them. I built something like the second one out of clay back in ceramics class; it was the ugliest thing ever, exploded in the kiln, and I got an F. Happy Labor Day…
This is one of a series of glass Klein bottles made by Alan Bennett. It consists of three Klein bottles, one inside another. A Klein bottle is a surface which has no edges, no outside or inside and cannot properly be constructed in three dimensions. In the series Alan Bennett made Klein bottles analogous to Mobius strips with odd numbers of twists greater than one.
A single surface model made by Alan Bennett. It consists of three Klein bottles set inside each other to produce, when cut, three pairs of single-twist Mobius strips. A Klein bottle has no edges, no outside or inside and cannot be properly constructed in three dimensions.