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Results tagged with discrete-geometry
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user 13093
Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.
1
vote
Visual proof of convergence for Steiner's symmetrization
Consider $\omega$ a convex shape and $B$ a ball having the same volume centered at a point in $\omega$ (for example the centroid). Define a coordinate system in $\Bbb{R}^d$ and make a Steiner symmetri …
- 2,222
25
votes
5
answers
3k
views
Sperner Lemma Applications
I was always fascinated with this result. Sperner's lemma is a combinatorial result which can prove some pretty strong facts, as Brouwer fixed point theorem. I know at least another application of thi …