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Results tagged with convex-geometry
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user 20595
A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
3
votes
Is there a midsphere theorem for 4-polytopes?
I recently showed that:
The graph of a stacked $4$-polytope is $3$-ball packable if and only if it does not contain six $4$-cliques sharing a $3$-clique.
While Eppstein, Kuperberg and Ziegler 20 …
- 2,581
1
vote
Convex caps with prescribed edges and curvature
Given Gaussian curvatures at the vertices, there is a unique lift that realizes these curvatures, as you can see from Igor's note.
Given a graph, the set of liftings that projects to this graph form …
- 2,581
5
votes
Is there a midsphere theorem for 4-polytopes?
In a recent paper of Padrol and me, we studied several generalizations of this problem. http://arxiv.org/pdf/1508.03537v1.pdf
Regarding Q1, Yoav already mentioned Schulte's work, and Gil mentioned t …
- 2,581