the bread-acting surfaces must be finite
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Replying to @0xdeadbabe @St_Rev and
it's 0xdeadbⓐbe 💮 Retweeted it's 0xdeadbⓐbe 💮
this is the real thought experiment:https://twitter.com/0xdeadbabe/status/882956434731872256 …
it's 0xdeadbⓐbe 💮 added,
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Replying to @0xdeadbabe @puellavulnerata and
I think the criterion you're missing is that a sandwich must be graspable, ie there must be H: [0,1] -> R^3 s.t. H(0) = B_0, H(1) = B_1, and
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Replying to @St_Rev @0xdeadbabe and
...H(t) does not intersect the sandwich for any t in (0,1)
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Replying to @St_Rev @0xdeadbabe and
The spherewich fails precisely because all paths between the slices in R^3 intersect the peanut butter.
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Replying to @St_Rev @0xdeadbabe and
imagine a loop of ham wrapped loosely around one of the bread slices instead of a sphere of pb (can grasp bread through the opening).
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Replying to @AgeVitam @0xdeadbabe and
That's only one slice of bread tho. Imagine instead puncturing the peanut butter sphere. One can continuously deform the peanut butter...
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...into a slab of peanut butter, and then contract the bread slices onto it.
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.