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Results tagged with convex-geometry
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user 9550
A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
14
votes
4
answers
452
views
Smallest containing simplex
Let $V_n$ be the least real number such that for every convex subset of $\mathbb{R}^n$ with hypervolume $1$ there is a containing simplex with hypervolume $V_n$.
What is known about $V_n$? Is there a …
- 1,446
26
votes
3
answers
1k
views
Largest possible volume of the convex hull of a curve of unit length
What is the largest possible volume of the convex hull of an open/closed curve of unit length in $\mathbb{R}^3$?
- 151k