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Feb 28, 2014 at 6:53 history edited Petr Petrukov CC BY-SA 3.0
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Feb 27, 2014 at 17:08 answer added Ilya Bogdanov timeline score: 3
Feb 27, 2014 at 16:38 answer added Bill Bradley timeline score: 1
Feb 27, 2014 at 15:32 comment added Ilya Bogdanov Surely, your parallelepiped may be degenerate?
Feb 27, 2014 at 15:07 comment added Bill Bradley It may be useful to mention that this question is a discrete analogue of a theorem of Fritz John (from 1948), which states the following: For any convex set $K$ in $R^n$ with non-empty interior, there is an affine transformation $f$ and a constant $c(n)>0$ (i.e. dependent on the dimension but not $K$), such that $B_1 \subseteq f(K) \subseteq B_{c(n)}$. Here, $B_x$ is the ball around the origin of radius $x$.
Feb 27, 2014 at 14:47 history edited Petr Petrukov CC BY-SA 3.0
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Feb 27, 2014 at 14:06 history edited Petr Petrukov CC BY-SA 3.0
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Feb 27, 2014 at 13:49 history edited Petr Petrukov CC BY-SA 3.0
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Feb 27, 2014 at 12:17 review First posts
Feb 27, 2014 at 12:33
Feb 27, 2014 at 11:57 history asked Petr Petrukov CC BY-SA 3.0