3 ms·
I could paint the inside of your surface red and the outside blue (where by "inside" I mean the part you've trapped air in). That's not the case with Cliff's bo
by raldi 11y ago
I could paint the inside of your surface red and the outside blue (where by "inside" I mean the part you've trapped air in). That's not the case with Cliff's bottles.
- maxerickson 11y agoIf you stick a cork in the bottom, his bottles have an inside and an outside. The abstract object doesn't, the 3d manifestation of it does.
- HCIdivision17 11y agoI had to think about what that meant for a moment, as it's sort of part of the weirdness of the bottle. Really, putting a cork in it is probably closer to putting a lid on a bowl, no? It's just sealing the local minimum. (Maximum? I don't really know what the sign should be for this. Probably maximum, for enclosed volume, since I'm not sure if it's reasonable to talk about the topology having a minimum in this context...)
- maxerickson 11y agoIf I needed to close one, I'd stick a cork in the hole in the bottom. So I think that is a reasonable way to describe closing it. I don't think I can reason clearly about the 4 dimensional object, part of pointing out that a 3d manifestation does not have the same properties is me trying to do that.